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Aleksander Weron

Personal Details

First Name:Aleksander
Middle Name:
Last Name:Weron
Suffix:
RePEc Short-ID:pwe259
[This author has chosen not to make the email address public]
http://www.im.pwr.wroc.pl/~weron/

Affiliation

Hugo Steinhaus Center for Stochastic Methods
Politechnika Wrocławska

Wrocław, Poland
http://www.im.pwr.wroc.pl/~hugo/

: +48-71-3203530
+48-71-3202654
Wybrzeze Wyspianskiego 27, 50-370 Wroclaw
RePEc:edi:hspwrpl (more details at EDIRC)

Research output

as
Jump to: Working papers Articles Books

Working papers

  1. Marcin Magdziarz & Sebastian Orzel & Aleksander Weron, 2011. "Option pricing in subdiffusive Bachelier model," HSC Research Reports HSC/11/05, Hugo Steinhaus Center, Wroclaw University of Technology.
  2. Sebastian Orzel & Aleksander Weron, 2009. "Calibration of the subdiffusive Black–Scholes model," HSC Research Reports HSC/09/02, Hugo Steinhaus Center, Wroclaw University of Technology.
  3. Joanna Janczura & Aleksander Weron, 2008. "Modelling energy forward prices," HSC Research Reports HSC/08/03, Hugo Steinhaus Center, Wroclaw University of Technology.
  4. Zbigniew Michna & Aleksander Weron, 2007. "Asymptotic behavior of the finite time ruin probability of a gamma Levy process," HSC Research Reports HSC/07/01, Hugo Steinhaus Center, Wroclaw University of Technology.
  5. Magdalena Borgosz-Koczwara & Aleksander Weron & Agnieszka Wylomanska, 2006. "Simulations of the bidding strategies on the power market (Symulacje strategii wytwórców na rynku energii elektrycznej)," HSC Research Reports HSC/06/04, Hugo Steinhaus Center, Wroclaw University of Technology.
  6. Ewa Broszkiewicz-Suwaj & Aleksander Weron, 2005. "Calibration of the multifactor HJM model for energy market," HSC Research Reports HSC/05/03, Hugo Steinhaus Center, Wroclaw University of Technology.
  7. Krzysztof Burnecki & Joanna Nowicka-Zagrajek & Aleksander Weron, 2004. "Pure risk premiums under deductibles. A quantitative management in actuarial practice," HSC Research Reports HSC/04/05, Hugo Steinhaus Center, Wroclaw University of Technology.
  8. Aleksander Weron & Agnieszka Wylomanska, 2003. "On ARMA(1,q) models with bounded and periodically correlated solutions," HSC Research Reports HSC/03/03, Hugo Steinhaus Center, Wroclaw University of Technology.
  9. Krzysztof Burnecki & Pawel Mista & Aleksander Weron, 2003. "A new De Vylder type approximation of the ruin probability in infinite time," HSC Research Reports HSC/03/05, Hugo Steinhaus Center, Wroclaw University of Technology.
  10. Krzysztof Burnecki & Agnieszka Marciniuk & Aleksander Weron, 2002. "On annuities under random rates of interest," HSC Research Reports HSC/02/01, Hugo Steinhaus Center, Wroclaw University of Technology.
  11. Joanna Nowicka-Zagrajek & Aleksander Weron, 2001. "Dependence structure of stable R-GARCH processes," HSC Research Reports HSC/01/02, Hugo Steinhaus Center, Wroclaw University of Technology.
  12. Aleksander Weron & Szymon Mercik & Rafal Weron, 1998. "Origins of the scaling behaviour in the dynamics of financial data," HSC Research Reports HSC/98/01, Hugo Steinhaus Center, Wroclaw University of Technology.
  13. Krzysztof Burnecki & Makoto Maejima & Aleksander Weron, 1997. "The Lamperti transformation for self-similar processes," HSC Research Reports HSC/97/02, Hugo Steinhaus Center, Wroclaw University of Technology.
  14. Krzysztof Burnecki & Jan Rosinski & Aleksander Weron, 1997. "Spectral representation and structure of self-similar processes," HSC Research Reports HSC/97/03, Hugo Steinhaus Center, Wroclaw University of Technology.
  15. Aleksander Janicki & Zbigniew Michna & Aleksander Weron, 1996. "Approximation of stochastic differential equations driven by alpha-stable Levy motion," HSC Research Reports HSC/96/02, Hugo Steinhaus Center, Wroclaw University of Technology.
  16. Aleksander Janicki & Aleksander Weron, 1994. "Can One See Alpha-stable Variables and Processes?," HSC Research Reports HSC/94/01, Hugo Steinhaus Center, Wroclaw University of Technology.

Articles

  1. Magdalena Borgosz-Koczwara & Aleksander Weron & Agnieszka Wyłomańska, 2009. "Stochastic models for bidding strategies on oligopoly electricity market," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 69(3), pages 579-592, July.
  2. Burnecki, Krzysztof & Klafter, Joseph & Magdziarz, Marcin & Weron, Aleksander, 2008. "From solar flare time series to fractional dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1077-1087.
  3. Burnecki, Krzysztof & Marciniuk, Agnieszka & Weron, Aleksander, 2003. "Annuities under random rates of interest--revisited," Insurance: Mathematics and Economics, Elsevier, vol. 32(3), pages 457-460, July.
  4. Weron, Rafal & Weron, Karina & Weron, Aleksander, 1999. "A conditionally exponential decay approach to scaling in finance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(3), pages 551-561.
  5. Weron, Aleksander & Mercik, Szymon & Weron, Rafal, 1999. "Origins of the scaling behaviour in the dynamics of financial data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(3), pages 562-569.
  6. Furrer, Hansjorg & Michna, Zbigniew & Weron, Aleksander, 1997. "Stable Lévy motion approximation in collective risk theory," Insurance: Mathematics and Economics, Elsevier, vol. 20(2), pages 97-114, September.
  7. W. Hazod & W. Härdle & G. Lindblad & M. Voit & J. Gani & A. Weron & N. Schmitz & J. Pfanzagl & H. Dette & G. Neuhaus & S. Taylor, 1995. "Book reviews," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 42(1), pages 265-278, December.
  8. Janicki, Aleksander & Weron, Aleksander, 1995. "Computer simulation of attractors in stochastic models with α-stable noise," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 39(1), pages 9-19.
  9. Leskow, Jacek & Weron, Aleksander, 1992. "Ergodic behavior and estimation for periodically correlated processes," Statistics & Probability Letters, Elsevier, vol. 15(4), pages 299-304, November.
  10. Suchanecki, Zdzisław & Weron, Aleksander, 1990. "Characterizations of intrinsically random dynamical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 166(2), pages 220-228.
  11. Cambanis, Stamatis & Hardin, Clyde D. & Weron, Aleksander, 1987. "Ergodic properties of stationary stable processes," Stochastic Processes and their Applications, Elsevier, vol. 24(1), pages 1-18, February.
  12. Mandrekar, V. & Weron, A., 1981. "[alpha]-Stable characterization of Banach spaces (1," Journal of Multivariate Analysis, Elsevier, vol. 11(4), pages 572-580, December.
  13. Chobanjan, S. A. & Weron, A., 1981. "Existence of the linear prediction for Banach space valued Gaussian processes," Journal of Multivariate Analysis, Elsevier, vol. 11(1), pages 69-80, March.
  14. Makagon, A. & Weron, A., 1976. "Wold-Cramér concordance theorems for interpolation of q-variate stationary processes over locally compact Abelian groups," Journal of Multivariate Analysis, Elsevier, vol. 6(1), pages 123-137, March.

Books

  1. Aleksander Weron & Rafal Weron, 2000. "Power Exchange: Risk management strategies (Gielda Energii: Strategie zarzadzania ryzykiem)," HSC Books, Hugo Steinhaus Center, Wroclaw University of Technology, number hsbook0001.
  2. Aleksander Weron & Rafal Weron, 1998. "Financial Engineering: Derivatives pricing, Computer simulations, Market statistics (Inzynieria finansowa: Wycena instrumentow pochodnych, Symulacje komputerowe, Statystyka rynku)," HSC Books, Hugo Steinhaus Center, Wroclaw University of Technology, number hsbook9801.
  3. Aleksander Janicki & Aleksander Weron, 1994. "Simulation and Chaotic Behavior of Alpha-stable Stochastic Processes," HSC Books, Hugo Steinhaus Center, Wroclaw University of Technology, number hsbook9401.

Citations

Many of the citations below have been collected in an experimental project, CitEc, where a more detailed citation analysis can be found. These are citations from works listed in RePEc that could be analyzed mechanically. So far, only a minority of all works could be analyzed. See under "Corrections" how you can help improve the citation analysis.

Working papers

  1. Marcin Magdziarz & Sebastian Orzel & Aleksander Weron, 2011. "Option pricing in subdiffusive Bachelier model," HSC Research Reports HSC/11/05, Hugo Steinhaus Center, Wroclaw University of Technology.

    Cited by:

    1. Sebastian, Orzeł & Agnieszka, Wyłomańska, 2010. "Calibration of the subdiffusive arithmetic Brownian motion with tempered stable waiting-times," MPRA Paper 28593, University Library of Munich, Germany.
    2. Lv, Longjin & Xiao, Jianbin & Fan, Liangzhong & Ren, Fuyao, 2016. "Correlated continuous time random walk and option pricing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 100-107.

  2. Sebastian Orzel & Aleksander Weron, 2009. "Calibration of the subdiffusive Black–Scholes model," HSC Research Reports HSC/09/02, Hugo Steinhaus Center, Wroclaw University of Technology.

    Cited by:

    1. Sebastian, Orzeł & Agnieszka, Wyłomańska, 2010. "Calibration of the subdiffusive arithmetic Brownian motion with tempered stable waiting-times," MPRA Paper 28593, University Library of Munich, Germany.

  3. Ewa Broszkiewicz-Suwaj & Aleksander Weron, 2005. "Calibration of the multifactor HJM model for energy market," HSC Research Reports HSC/05/03, Hugo Steinhaus Center, Wroclaw University of Technology.

    Cited by:

    1. Joanna Janczura & Aleksander Weron, 2008. "Modelling energy forward prices," HSC Research Reports HSC/08/03, Hugo Steinhaus Center, Wroclaw University of Technology.

  4. Krzysztof Burnecki & Joanna Nowicka-Zagrajek & Aleksander Weron, 2004. "Pure risk premiums under deductibles. A quantitative management in actuarial practice," HSC Research Reports HSC/04/05, Hugo Steinhaus Center, Wroclaw University of Technology.

    Cited by:

    1. Julie Thøgersen, 2016. "Optimal Premium as a Function of the Deductible: Customer Analysis and Portfolio Characteristics," Risks, MDPI, Open Access Journal, vol. 4(4), pages 1-19, November.

  5. Aleksander Weron & Szymon Mercik & Rafal Weron, 1998. "Origins of the scaling behaviour in the dynamics of financial data," HSC Research Reports HSC/98/01, Hugo Steinhaus Center, Wroclaw University of Technology.

    Cited by:

    1. Bucsa, G. & Jovanovic, F. & Schinckus, C., 2011. "A unified model for price return distributions used in econophysics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3435-3443.
    2. Mercik, Szymon & Weron, Rafal, 2002. "Origins of scaling in FX markets," MPRA Paper 2294, University Library of Munich, Germany.
    3. Jovanovic, Franck & Schinckus, Christophe, 2017. "Econophysics and Financial Economics: An Emerging Dialogue," OUP Catalogue, Oxford University Press, number 9780190205034.
    4. Krzysztof Burnecki, 1998. "Self-similar models in risk theory," HSC Research Reports HSC/98/03, Hugo Steinhaus Center, Wroclaw University of Technology.

  6. Krzysztof Burnecki & Makoto Maejima & Aleksander Weron, 1997. "The Lamperti transformation for self-similar processes," HSC Research Reports HSC/97/02, Hugo Steinhaus Center, Wroclaw University of Technology.

    Cited by:

    1. Fernández-Martínez, M. & Sánchez-Granero, M.A. & Trinidad Segovia, J.E., 2013. "Measuring the self-similarity exponent in Lévy stable processes of financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5330-5345.
    2. Magdziarz, Marcin, 2009. "Correlation cascades, ergodic properties and long memory of infinitely divisible processes," Stochastic Processes and their Applications, Elsevier, vol. 119(10), pages 3416-3434, October.
    3. Krzysztof Burnecki, 1998. "Self-similar models in risk theory," HSC Research Reports HSC/98/03, Hugo Steinhaus Center, Wroclaw University of Technology.

  7. Krzysztof Burnecki & Jan Rosinski & Aleksander Weron, 1997. "Spectral representation and structure of self-similar processes," HSC Research Reports HSC/97/03, Hugo Steinhaus Center, Wroclaw University of Technology.

    Cited by:

    1. Wang, Yizao & Stoev, Stilian A., 2010. "On the association of sum- and max-stable processes," Statistics & Probability Letters, Elsevier, vol. 80(5-6), pages 480-488, March.
    2. Krzysztof Burnecki, 1998. "Self-similar models in risk theory," HSC Research Reports HSC/98/03, Hugo Steinhaus Center, Wroclaw University of Technology.

  8. Aleksander Janicki & Aleksander Weron, 1994. "Can One See Alpha-stable Variables and Processes?," HSC Research Reports HSC/94/01, Hugo Steinhaus Center, Wroclaw University of Technology.

    Cited by:

    1. Aleksander Janicki & Zbigniew Michna & Aleksander Weron, 1996. "Approximation of stochastic differential equations driven by alpha-stable Levy motion," HSC Research Reports HSC/96/02, Hugo Steinhaus Center, Wroclaw University of Technology.
    2. Janicki, Aleksander & Weron, Aleksander, 1995. "Computer simulation of attractors in stochastic models with α-stable noise," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 39(1), pages 9-19.
    3. Adam Misiorek & Rafal Weron, 2010. "Heavy-tailed distributions in VaR calculations," HSC Research Reports HSC/10/05, Hugo Steinhaus Center, Wroclaw University of Technology.
    4. Borak, Szymon & Misiorek, Adam & Weron, Rafal, 2010. "Models for Heavy-tailed Asset Returns," MPRA Paper 25494, University Library of Munich, Germany.
    5. Weron, Rafał, 2004. "Computationally intensive Value at Risk calculations," Papers 2004,32, Humboldt University of Berlin, Center for Applied Statistics and Economics (CASE).

Articles

  1. Magdalena Borgosz-Koczwara & Aleksander Weron & Agnieszka Wyłomańska, 2009. "Stochastic models for bidding strategies on oligopoly electricity market," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 69(3), pages 579-592, July.

    Cited by:

    1. Magdalena Weglarz & Agnieszka Wylomanska, 2010. "Optimal bidding strategies on the power market based on the stochastic models," HSC Research Reports HSC/10/06, Hugo Steinhaus Center, Wroclaw University of Technology.
    2. Rafal Weron, 2014. "Electricity price forecasting: A review of the state-of-the-art with a look into the future," HSC Research Reports HSC/14/07, Hugo Steinhaus Center, Wroclaw University of Technology.
    3. Sandro Sapio & Agnieszka Wylomanska, 2008. "The impact of forward trading on the spot power price volatility with Cournot competition," HSC Research Reports HSC/08/02, Hugo Steinhaus Center, Wroclaw University of Technology.

  2. Burnecki, Krzysztof & Klafter, Joseph & Magdziarz, Marcin & Weron, Aleksander, 2008. "From solar flare time series to fractional dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1077-1087.

    Cited by:

    1. Rafał Weron, 2009. "Heavy-tails and regime-switching in electricity prices," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 69(3), pages 457-473, July.
    2. Graves, Timothy & Franzke, Christian L.E. & Watkins, Nicholas W. & Gramacy, Robert B. & Tindale, Elizabeth, 2017. "Systematic inference of the long-range dependence and heavy-tail distribution parameters of ARFIMA models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 60-71.

  3. Burnecki, Krzysztof & Marciniuk, Agnieszka & Weron, Aleksander, 2003. "Annuities under random rates of interest--revisited," Insurance: Mathematics and Economics, Elsevier, vol. 32(3), pages 457-460, July.

    Cited by:

    1. Date, P. & Mamon, R. & Wang, I.C., 2007. "Valuation of cash flows under random rates of interest: A linear algebraic approach," Insurance: Mathematics and Economics, Elsevier, vol. 41(1), pages 84-95, July.
    2. Date, P. & Mamon, R. & Jalen, L. & Wang, I.C., 2010. "A linear algebraic method for pricing temporary life annuities and insurance policies," Insurance: Mathematics and Economics, Elsevier, vol. 47(1), pages 98-104, August.

  4. Weron, Rafal & Weron, Karina & Weron, Aleksander, 1999. "A conditionally exponential decay approach to scaling in finance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(3), pages 551-561.

    Cited by:

    1. Mercik, Szymon & Weron, Rafal, 2002. "Origins of scaling in FX markets," MPRA Paper 2294, University Library of Munich, Germany.

  5. Weron, Aleksander & Mercik, Szymon & Weron, Rafal, 1999. "Origins of the scaling behaviour in the dynamics of financial data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(3), pages 562-569.
    See citations under working paper version above.
  6. Furrer, Hansjorg & Michna, Zbigniew & Weron, Aleksander, 1997. "Stable Lévy motion approximation in collective risk theory," Insurance: Mathematics and Economics, Elsevier, vol. 20(2), pages 97-114, September.

    Cited by:

    1. Kolkovska, Ekaterina T. & Martín-González, Ehyter M., 2016. "Gerber–Shiu functionals for classical risk processes perturbed by an α-stable motion," Insurance: Mathematics and Economics, Elsevier, vol. 66(C), pages 22-28.
    2. Pawel Mista, 2006. "Analytical and numerical approach to corporate operational risk modelling," HSC Research Reports HSC/06/03, Hugo Steinhaus Center, Wroclaw University of Technology.
    3. Michna, Zbigniew, 2011. "Formula for the supremum distribution of a spectrally positive [alpha]-stable Lévy process," Statistics & Probability Letters, Elsevier, vol. 81(2), pages 231-235, February.
    4. Scalas, Enrico, 2006. "The application of continuous-time random walks in finance and economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(2), pages 225-239.
    5. Krzysztof Burnecki, 1998. "Self-similar models in risk theory," HSC Research Reports HSC/98/03, Hugo Steinhaus Center, Wroclaw University of Technology.

  7. Leskow, Jacek & Weron, Aleksander, 1992. "Ergodic behavior and estimation for periodically correlated processes," Statistics & Probability Letters, Elsevier, vol. 15(4), pages 299-304, November.

    Cited by:

    1. Mitra Ghanbarzadeh & Mina Aminghafari, 2016. "A Wavelet Characterization of Continuous-Time Periodically Correlated Processes with Application to Simulation," Journal of Time Series Analysis, Wiley Blackwell, vol. 37(6), pages 741-762, November.

  8. Cambanis, Stamatis & Hardin, Clyde D. & Weron, Aleksander, 1987. "Ergodic properties of stationary stable processes," Stochastic Processes and their Applications, Elsevier, vol. 24(1), pages 1-18, February.

    Cited by:

    1. Wang, Yizao & Stoev, Stilian A. & Roy, Parthanil, 2012. "Decomposability for stable processes," Stochastic Processes and their Applications, Elsevier, vol. 122(3), pages 1093-1109.
    2. Andreas Basse-O'Connor & Raphaël Lachièze-Rey & Mark Podolskij, 2015. "Limit theorems for stationary increments Lévy driven moving averages," CREATES Research Papers 2015-56, Department of Economics and Business Economics, Aarhus University.
    3. Andreas Basse-O'Connor & Mark Podolskij, 2015. "On critical cases in limit theory for stationary increments Lévy driven moving averages," CREATES Research Papers 2015-57, Department of Economics and Business Economics, Aarhus University.
    4. Hsing, Tailen, 1995. "Limit theorems for stable processes with application to spectral density estimation," Stochastic Processes and their Applications, Elsevier, vol. 57(1), pages 39-71, May.
    5. Magdziarz, Marcin, 2009. "Correlation cascades, ergodic properties and long memory of infinitely divisible processes," Stochastic Processes and their Applications, Elsevier, vol. 119(10), pages 3416-3434, October.
    6. Kabluchko, Zakhar & Schlather, Martin, 2010. "Ergodic properties of max-infinitely divisible processes," Stochastic Processes and their Applications, Elsevier, vol. 120(3), pages 281-295, March.
    7. Stoev, Stilian A., 2008. "On the ergodicity and mixing of max-stable processes," Stochastic Processes and their Applications, Elsevier, vol. 118(9), pages 1679-1705, September.

Books

  1. Aleksander Janicki & Aleksander Weron, 1994. "Simulation and Chaotic Behavior of Alpha-stable Stochastic Processes," HSC Books, Hugo Steinhaus Center, Wroclaw University of Technology, number hsbook9401.

    Cited by:

    1. Xu, Yong & Feng, Jing & Li, JuanJuan & Zhang, Huiqing, 2013. "Stochastic bifurcation for a tumor–immune system with symmetric Lévy noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4739-4748.
    2. Rafal Weron, 2001. "Levy-stable distributions revisited: tail index > 2 does not exclude the Levy-stable regime," HSC Research Reports HSC/01/01, Hugo Steinhaus Center, Wroclaw University of Technology.
    3. Burnecki, Krzysztof & Weron, Rafal, 2010. "Simulation of Risk Processes," MPRA Paper 25444, University Library of Munich, Germany.
      • Härdle, Wolfgang Karl & Burnecki, Krzysztof & Weron, Rafał, 2004. "Simulation of risk processes," Papers 2004,01, Humboldt University of Berlin, Center for Applied Statistics and Economics (CASE).
    4. Makoto Maejima & Gennady Samorodnitsky, 1999. "Certain Probabilistic Aspects of Semistable Laws," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 51(3), pages 449-462, September.
    5. Krzysztof Szczepaniec & Bartłomiej Dybiec, 2013. "Non-Gaussian, non-dynamical stochastic resonance," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(11), pages 1-6, November.
    6. Weron, Rafal, 2008. "Market price of risk implied by Asian-style electricity options and futures," Energy Economics, Elsevier, vol. 30(3), pages 1098-1115, May.
    7. Eliazar, Iddo, 2016. "Beyond lognormal inequality: The Lorenz Flow Structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 339-354.
    8. Lombardi, Marco J. & Calzolari, Giorgio, 2009. "Indirect estimation of [alpha]-stable stochastic volatility models," Computational Statistics & Data Analysis, Elsevier, vol. 53(6), pages 2298-2308, April.
    9. Kruczek, Piotr & Wyłomańska, Agnieszka & Teuerle, Marek & Gajda, Janusz, 2017. "The modified Yule-Walker method for α-stable time series models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 588-603.
    10. Nolan, John P., 1998. "Parameterizations and modes of stable distributions," Statistics & Probability Letters, Elsevier, vol. 38(2), pages 187-195, June.
    11. F. Schmitt, 2003. "A causal multifractal stochastic equation and its statistical properties," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 34(1), pages 85-98, July.
    12. Stoyan Stoyanov & Borjana Racheva-Iotova & Svetlozar Rachev & Frank Fabozzi, 2010. "Stochastic models for risk estimation in volatile markets: a survey," Annals of Operations Research, Springer, vol. 176(1), pages 293-309, April.
    13. Telesca, Luciano & Lovallo, Michele & Mohamed, Abuo El-Ela Amin & ElGabry, Mohamed & El-hady, Sherif & Elenean, Kamal M. Abou & ElBary, Rafaat ElShafey Fat, 2012. "Informational analysis of seismic sequences by applying the Fisher Information Measure and the Shannon entropy: An application to the 2004–2010 seismicity of Aswan area (Egypt)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(9), pages 2889-2897.
    14. Krzysztof Burnecki & Rafal Weron, 2006. "Visualization tools for insurance risk processes," HSC Research Reports HSC/06/06, Hugo Steinhaus Center, Wroclaw University of Technology.
    15. Szymon Borak & Wolfgang Härdle & Rafal Weron, 2005. "Stable Distributions," SFB 649 Discussion Papers SFB649DP2005-008, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    16. Telesca, Luciano & Lovallo, Michele & Ramirez-Rojas, Alejandro & Angulo-Brown, Fernando, 2009. "A nonlinear strategy to reveal seismic precursory signatures in earthquake-related self-potential signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(10), pages 2036-2040.
    17. Burnecki, Krzysztof & Gajda, Janusz & Sikora, Grzegorz, 2011. "Stability and lack of memory of the returns of the Hang Seng index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(18), pages 3136-3146.
    18. Aleksander Weron & Szymon Mercik & Rafal Weron, 1998. "Origins of the scaling behaviour in the dynamics of financial data," HSC Research Reports HSC/98/01, Hugo Steinhaus Center, Wroclaw University of Technology.
    19. Rafal Weron, 2005. "Market price of risk implied by Asian-style electricity options," Econometrics 0502003, EconWPA.
    20. Rafal Weron & Ingve Simonsen & Piotr Wilman, 2003. "Modeling highly volatile and seasonal markets: evidence from the Nord Pool electricity market," Econometrics 0303007, EconWPA.
    21. Stefan Mittnik & Marc Paolella & Svetlozar Rachev, 1998. "Unconditional and Conditional Distributional Models for the Nikkei Index," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 5(2), pages 99-128, May.
    22. Furrer, Hansjorg & Michna, Zbigniew & Weron, Aleksander, 1997. "Stable Lévy motion approximation in collective risk theory," Insurance: Mathematics and Economics, Elsevier, vol. 20(2), pages 97-114, September.
    23. Jing-zhi Huang & Liuren Wu, 2004. "Specification Analysis of Option Pricing Models Based on Time-Changed Levy Processes," Econometric Society 2004 North American Winter Meetings 405, Econometric Society.
    24. Aleksander Janicki & Zbigniew Michna & Aleksander Weron, 1996. "Approximation of stochastic differential equations driven by alpha-stable Levy motion," HSC Research Reports HSC/96/02, Hugo Steinhaus Center, Wroclaw University of Technology.
    25. Potirakis, S.M. & Minadakis, G. & Eftaxias, K., 2012. "Analysis of electromagnetic pre-seismic emissions using Fisher information and Tsallis entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 300-306.
    26. Mahdi Teimouri & Saralees Nadarajah, 2013. "On simulating truncated stable random variables," Computational Statistics, Springer, vol. 28(5), pages 2367-2377, October.
    27. Marek Teuerle & Piotr Zebrowski & Marcin Magdziarz, 2011. "Multidimensional Levy walk and its scaling limits," HSC Research Reports HSC/11/06, Hugo Steinhaus Center, Wroclaw University of Technology.
    28. Lovallo, Michele & Pierini, Jorge O. & Telesca, Luciano, 2012. "Power spectrum and Fisher–Shannon information plane analysis of tidal records," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4711-4719.
    29. John C. Frain, 2008. "Value at Risk (VaR) and the alpha-stable distribution," Trinity Economics Papers tep0308, Trinity College Dublin, Department of Economics, revised May 2008.
    30. Magdziarz, Marcin, 2008. "Fractional Ornstein–Uhlenbeck processes. Joseph effect in models with infinite variance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(1), pages 123-133.
    31. Liuren Wu, 2006. "Dampened Power Law: Reconciling the Tail Behavior of Financial Security Returns," The Journal of Business, University of Chicago Press, vol. 79(3), pages 1445-1474, May.
    32. Katarzyna Sznajd-Weron & Rafal Weron, 1997. "Evolution in a changing environment," HSC Research Reports HSC/97/01, Hugo Steinhaus Center, Wroclaw University of Technology.
    33. Cornelis A. Los, 2005. "The Degree of Stability of Price Diffusion," Finance 0508006, EconWPA.
    34. Mercik, Szymon & Weron, Rafal, 1999. "Scaling in currency exchange: a conditionally exponential decay approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 267(1), pages 239-250.
    35. Janicki, Aleksander & Weron, Aleksander, 1995. "Computer simulation of attractors in stochastic models with α-stable noise," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 39(1), pages 9-19.
    36. John C. Frain, 2007. "Small sample power of tests of normality when the alternative is an alpha-stable distribution," Trinity Economics Papers tep0207, Trinity College Dublin, Department of Economics.
    37. Telesca, Luciano & Lovallo, Michele & Alcaz, Vasile & Ilies, Ion, 2015. "Site-dependent organization structure of seismic microtremors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 541-547.
    38. Telesca, Luciano & Lovallo, Michele & Alcaz, Vasile & Ilies, Ion, 2014. "Investigating the inner time properties of seismograms by using the Fisher Information Measure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 409(C), pages 154-161.
    39. Weron, Rafał & Burnecki, Krzysztof, 2004. "Modeling the risk process in the XploRe computing environment," Papers 2004,08, Humboldt University of Berlin, Center for Applied Statistics and Economics (CASE).
    40. Eliazar, Iddo, 2010. "The extremal independence problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(4), pages 659-666.
    41. Adam Misiorek & Rafal Weron, 2010. "Heavy-tailed distributions in VaR calculations," HSC Research Reports HSC/10/05, Hugo Steinhaus Center, Wroclaw University of Technology.
    42. Enrico Scalas & Rudolf Gorenflo & Francesco Mainardi, 2004. "Fractional calculus and continuous-time finance," Finance 0411007, EconWPA.
    43. Eliazar, Iddo & Klafter, Joseph, 2007. "Correlation cascades of Lévy-driven random processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 376(C), pages 1-26.
    44. Janczura, Joanna & Orzeł, Sebastian & Wyłomańska, Agnieszka, 2011. "Subordinated α-stable Ornstein–Uhlenbeck process as a tool for financial data description," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4379-4387.
    45. Eliazar, Iddo & Klafter, Joseph, 2008. "Fractal Poisson processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 4985-4996.
    46. Raul Matsushita & Iram Gleria & Annibal Figueiredo & Sergio Da Silva, 2004. "The Econophysics of the Brazilian Real-US Dollar Rate," Finance 0407012, EconWPA.
    47. Sergio Da Silva, 2004. "Levy Flights, Autocorrelation, and Slow Convergence," Finance 0405021, EconWPA.
    48. Janczura, Joanna & Wyłomańska, Agnieszka, 2009. "Subdynamics of financial data from fractional Fokker-Planck equation," MPRA Paper 30649, University Library of Munich, Germany.
    49. Sutthisit Jamdee & Cornelis A. Los, 2005. "Long Memory Options: LM Evidence and Simulations," Finance 0505003, EconWPA.
    50. Borak, Szymon & Misiorek, Adam & Weron, Rafal, 2010. "Models for Heavy-tailed Asset Returns," MPRA Paper 25494, University Library of Munich, Germany.
    51. Telesca, Luciano & Lovallo, Michele & Babayev, Gulam & Kadirov, Fakhraddin, 2013. "Spectral and informational analysis of seismicity: An application to the 1996–2012 seismicity of the Northern Caucasus–Azerbaijan part of the greater Caucasus–Kopet Dag region," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 6064-6078.
    52. Magdziarz, Marcin, 2009. "Stochastic representation of subdiffusion processes with time-dependent drift," Stochastic Processes and their Applications, Elsevier, vol. 119(10), pages 3238-3252, October.
    53. Huston McCulloch, J. & Panton, Don B., 1997. "Precise tabulation of the maximally-skewed stable distributions and densities," Computational Statistics & Data Analysis, Elsevier, vol. 23(3), pages 307-320, January.
    54. Telesca, Luciano & Lovallo, Michele & Shaban, Amin & Darwich, Talal & Amacha, Nabil, 2013. "Singular spectrum analysis and Fisher–Shannon analysis of spring flow time series: An application to Anjar Spring, Lebanon," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3789-3797.
    55. Bentkus, V. & Götze, F. & Paulauskas, V., 1996. "Bounds for the accuracy of Poissonian approximations of stable laws," Stochastic Processes and their Applications, Elsevier, vol. 65(1), pages 55-68, December.
    56. Theodorou, Petros & Karyampas, Dimitrios, 2008. "Modeling the return and volatility of the Greek electricity marginal system price," Energy Policy, Elsevier, vol. 36(7), pages 2601-2609, July.
    57. Sebastian Orzel & Aleksander Weron, 2009. "Calibration of the subdiffusive Black–Scholes model," HSC Research Reports HSC/09/02, Hugo Steinhaus Center, Wroclaw University of Technology.
    58. Wang Lihong, 2003. "Limit theorems in change-point problems with multivariate long-range dependent observations," Statistics & Risk Modeling, De Gruyter, vol. 21(3/2003), pages 283-300, March.
    59. Ortobelli, Sergio & Rachev, Svetlozar & Schwartz, Eduardo, 2000. "The Problem of Optimal Asset Allocation with Stable Distributed Returns," University of California at Los Angeles, Anderson Graduate School of Management qt3zd6q86c, Anderson Graduate School of Management, UCLA.
    60. Dybiec, Bartłomiej, 2008. "Random strategies of contact tracking," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(19), pages 4863-4870.
    61. Rafal Weron, 2002. "Pricing European options on instruments with a constant dividend yield: The randomized discrete-time approach," HSC Research Reports HSC/02/04, Hugo Steinhaus Center, Wroclaw University of Technology.
    62. John C. Frain, 2008. "Maximum Likelihood Estimates of Regression Coefficients with alpha-stable residuals and Day of Week effects in Total Returns on Equity Indices," Trinity Economics Papers tep0108, Trinity College Dublin, Department of Economics, revised May 2008.
    63. Foad Shokrollahi, 2016. "Subdiffusive fractional Brownian motion regime for pricing currency options under transaction costs," Papers 1612.06665, arXiv.org, revised Aug 2017.
    64. Weron, Rafał, 2004. "Computationally intensive Value at Risk calculations," Papers 2004,32, Humboldt University of Berlin, Center for Applied Statistics and Economics (CASE).
    65. Michna, Zbigniew, 2008. "Asymptotic behavior of the supremum tail probability for anomalous diffusions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 413-417.
    66. Janczura, Joanna & Weron, Rafal, 2010. "An empirical comparison of alternate regime-switching models or electricity spot prices," MPRA Paper 20546, University Library of Munich, Germany.
    67. Rafal Weron, 2006. "Modeling and Forecasting Electricity Loads and Prices: A Statistical Approach," HSC Books, Hugo Steinhaus Center, Wroclaw University of Technology, number hsbook0601.
    68. Telesca, Luciano & Caggiano, Rosa & Lapenna, Vincenzo & Lovallo, Michele & Trippetta, Serena & Macchiato, Maria, 2008. "The Fisher information measure and Shannon entropy for particulate matter measurements," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4387-4392.
    69. Mercik, Szymon & Weron, Rafal, 2002. "Origins of scaling in FX markets," MPRA Paper 2294, University Library of Munich, Germany.
    70. Menn, Christian & Rachev, Svetlozar T., 2005. "A GARCH option pricing model with [alpha]-stable innovations," European Journal of Operational Research, Elsevier, vol. 163(1), pages 201-209, May.
    71. Telesca, Luciano & Lovallo, Michele & Ramirez-Rojas, Alejandro & Flores-Marquez, Leticia, 2013. "Investigating the time dynamics of seismicity by using the visibility graph approach: Application to seismicity of Mexican subduction zone," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6571-6577.
    72. Peter Carr & Liuren Wu, 2002. "The Finite Moment Log Stable Process and Option Pricing," Finance 0207012, EconWPA.
    73. Joanna Janczura & Sebastian Orzel & Agnieszka Wylomanska, 2011. "Subordinated alpha-stable Ornstein-Uhlenbeck process as a tool for financial data description," HSC Research Reports HSC/11/03, Hugo Steinhaus Center, Wroclaw University of Technology.
    74. Niklas Wagner & Terry Marsh, 2004. "Tail index estimation in small smaples Simulation results for independent and ARCH-type financial return models," Statistical Papers, Springer, vol. 45(4), pages 545-561, October.
    75. Żaba, Mariusz & Garbaczewski, Piotr & Stephanovich, Vladimir, 2013. "Lévy flights in confining environments: Random paths and their statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3485-3496.
    76. Guo, Zhidong & Yuan, Hongjun, 2014. "Pricing European option under the time-changed mixed Brownian-fractional Brownian model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 73-79.
    77. Arturo Kohatsu & Makoto Yamazato, 2003. "On moments and tail behaviors of storage processes," Economics Working Papers 673, Department of Economics and Business, Universitat Pompeu Fabra.
    78. Pawel J. Szerszen, 2009. "Bayesian analysis of stochastic volatility models with Lévy jumps: application to risk analysis," Finance and Economics Discussion Series 2009-40, Board of Governors of the Federal Reserve System (U.S.).
    79. B. Dybiec, 2009. "Epidemics with short and long-range interactions: role of vector dispersal patterns," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 72(4), pages 685-693, December.
    80. Telesca, Luciano & Lovallo, Michele & Hsu, Han-Lun & Chen, Chien-Chih, 2011. "Analysis of dynamics in magnetotelluric data by using the Fisher–Shannon method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(7), pages 1350-1355.
    81. Liudvikas Kaklauskas & Leonidas Sakalauskas, 2013. "Study of on-line measurement of traffic self-similarity," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(1), pages 63-84, January.
    82. Krzysztof Burnecki, 1998. "Self-similar models in risk theory," HSC Research Reports HSC/98/03, Hugo Steinhaus Center, Wroclaw University of Technology.
    83. Telesca, Luciano & Lovallo, Michele & Romano, Gerardo & Konstantinou, Konstantinos I. & Hsu, Han-Lun & Chen, Chien-chih, 2014. "Using the informational Fisher–Shannon method to investigate the influence of long-term deformation processes on geoelectrical signals: An example from the Taiwan orogeny," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 340-351.
    84. Eliazar, Iddo I. & Cohen, Morrel H., 2012. "A Langevin approach to the Log–Gauss–Pareto composite statistical structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5598-5610.
    85. B. Dybiec, 2009. "SIR model of epidemic spread with accumulated exposure," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 67(3), pages 377-383, February.
    86. Telesca, Luciano & Lovallo, Michele & Chamoli, Ashutosh & Dimri, V.P. & Srivastava, K., 2013. "Fisher–Shannon analysis of seismograms of tsunamigenic and non-tsunamigenic earthquakes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(16), pages 3424-3429.
    87. Dedi Rosadi & Manfred Deistler, 2011. "Estimating the codifference function of linear time series models with infinite variance," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 73(3), pages 395-429, May.
    88. Bartłomiej Dybiec & Krzysztof Szczepaniec, 2015. "Escape from hypercube driven by multi-variate α-stable noises: role of independence," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(7), pages 1-8, July.
    89. Ian McHale & Patrick Laycock, 2006. "Applications of a General Stable Law Regression Model," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(10), pages 1075-1084.
    90. Burnecki, Krzysztof & Klafter, Joseph & Magdziarz, Marcin & Weron, Aleksander, 2008. "From solar flare time series to fractional dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1077-1087.
    91. Marcin Magdziarz & Janusz Gajda, 2012. "Anomalous dynamics of Black–Scholes model time-changed by inverse subordinators," HSC Research Reports HSC/12/04, Hugo Steinhaus Center, Wroclaw University of Technology.

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