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Simulation and Chaotic Behavior of Alpha-stable Stochastic Processes

Citations

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Cited by:

  1. Peter Carr & Liuren Wu, 2003. "The Finite Moment Log Stable Process and Option Pricing," Journal of Finance, American Finance Association, vol. 58(2), pages 753-777, April.
  2. 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).
  3. 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.
  4. 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.
  5. 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.
  6. Weron, Karina & Kotulski, Marcin, 1996. "On the Cole-Cole relaxation function and related Mittag-Leffler distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 180-188.
  7. 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.
  8. 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.
  9. Zsolt Bihary & Péter Csóka & Dávid Zoltán Szabó, 2020. "Spectral risk measure of holding stocks in the long run," Annals of Operations Research, Springer, vol. 295(1), pages 75-89, December.
  10. 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.
  11. Krzysztof Burnecki & Rafal Weron, 2006. "Visualization tools for insurance risk processes," HSC Research Reports HSC/06/06, Hugo Steinhaus Center, Wroclaw University of Technology.
  12. 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.
  13. Foad Shokrollahi & Marcin Marcin Magdziarz, 2020. "Equity warrant pricing under subdiffusive fractional Brownian motion of the short rate," Papers 2007.12228, arXiv.org, revised Nov 2020.
  14. Xuekang Zhang & Huisheng Shu & Haoran Yi, 2023. "Parameter Estimation for Ornstein–Uhlenbeck Driven by Ornstein–Uhlenbeck Processes with Small Lévy Noises," Journal of Theoretical Probability, Springer, vol. 36(1), pages 78-98, March.
  15. Rafal Weron, 2005. "Market price of risk implied by Asian-style electricity options," Econometrics 0502003, University Library of Munich, Germany.
  16. 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.
  17. 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.
  18. Jingzhi Huang & Liuren Wu, 2004. "Specification Analysis of Option Pricing Models Based on Time- Changed Levy Processes," Finance 0401002, University Library of Munich, Germany.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. Eliazar, Iddo & Cohen, Morrel H., 2015. "A pentatonic classification of extreme events," Chaos, Solitons & Fractals, Elsevier, vol. 74(C), pages 3-14.
  24. Katarzyna Sznajd-Weron & Rafal Weron, 1997. "Evolution in a changing environment," HSC Research Reports HSC/97/01, Hugo Steinhaus Center, Wroclaw University of Technology.
  25. 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.
  26. 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.
  27. 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.
  28. 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.
  29. Bielak, Łukasz & Grzesiek, Aleksandra & Janczura, Joanna & Wyłomańska, Agnieszka, 2021. "Market risk factors analysis for an international mining company. Multi-dimensional, heavy-tailed-based modelling," Resources Policy, Elsevier, vol. 74(C).
  30. 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).
  31. Adam Misiorek & Rafal Weron, 2010. "Heavy-tailed distributions in VaR calculations," HSC Research Reports HSC/10/05, Hugo Steinhaus Center, Wroclaw University of Technology.
  32. Scalas, Enrico & Gorenflo, Rudolf & Mainardi, Francesco, 2000. "Fractional calculus and continuous-time finance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 284(1), pages 376-384.
  33. Haruna Okamura & Toshihiro Uemura, 2021. "On Symmetric Stable-Type Processes with Degenerate/Singular Lévy Densities," Journal of Theoretical Probability, Springer, vol. 34(2), pages 809-826, June.
  34. Eliazar, Iddo & Klafter, Joseph, 2008. "Fractal Poisson processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 4985-4996.
  35. Figueiredo, Annibal & Gleria, Iram & Matsushita, Raul & Da Silva, Sergio, 2004. "Lévy flights, autocorrelation, and slow convergence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(3), pages 369-383.
  36. Jamdee, Sutthisit & Los, Cornelis A., 2007. "Long memory options: LM evidence and simulations," Research in International Business and Finance, Elsevier, vol. 21(2), pages 260-280, June.
  37. Szymon Borak & Adam Misiorek & Rafał Weron, 2010. "Models for Heavy-tailed Asset Returns," SFB 649 Discussion Papers SFB649DP2010-049, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  38. 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.
  39. 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.
  40. Zbigniew Michna, 2018. "Ruin probabilities for two collaborating insurance companies," Papers 1804.06598, arXiv.org, revised Dec 2018.
  41. Rafał Weron, 2001. "Levy-Stable Distributions Revisited: Tail Index> 2does Not Exclude The Levy-Stable Regime," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(02), pages 209-223.
  42. 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.
  43. 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.
  44. 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.
  45. Marcin Pitera & Aleksei Chechkin & Agnieszka Wyłomańska, 2022. "Goodness-of-fit test for $$\alpha$$ α -stable distribution based on the quantile conditional variance statistics," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 31(2), pages 387-424, June.
  46. 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.
  47. Rafal Weron, 2006. "Modeling and Forecasting Electricity Loads and Prices: A Statistical Approach," HSC Books, Hugo Steinhaus Center, Wroclaw University of Technology, number hsbook0601.
  48. Mercik, Szymon & Weron, Rafal, 2002. "Origins of scaling in FX markets," MPRA Paper 2294, University Library of Munich, Germany.
  49. 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.
  50. 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.
  51. 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.
  52. 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.
  53. 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.
  54. Kim, Panki, 2006. "Weak convergence of censored and reflected stable processes," Stochastic Processes and their Applications, Elsevier, vol. 116(12), pages 1792-1814, December.
  55. 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.).
  56. 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.
  57. 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.
  58. 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.
  59. 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.
  60. Eliazar, Iddo, 2018. "Universal Poisson-process limits for general random walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 1160-1174.
  61. 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.
  62. 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.
  63. 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.
  64. Foad Shokrollahi & Adem Kılıçman & Marcin Magdziarz, 2016. "Pricing European options and currency options by time changed mixed fractional Brownian motion with transaction costs," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 3(01), pages 1-22, March.
  65. 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.
  66. 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.
  67. Janicki, Aleksander, 1995. "Computer simulation of diffusions driven by α-stable Lévy motion," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 38(1), pages 97-101.
  68. 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.
  69. Wu, Juan & Xu, Yong & Ma, Shaojuan, 2019. "Realizing the transformation of logic gates in a genetic toggle system under Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 171-179.
  70. Eliazar, Iddo, 2016. "Beyond lognormal inequality: The Lorenz Flow Structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 339-354.
  71. Mercik, Szymon & Siwy, Zuzanna & Weron, Karina, 2000. "What can be learnt from the analysis of short time series of ion channel recordings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 276(3), pages 376-390.
  72. Nolan, John P., 1998. "Parameterizations and modes of stable distributions," Statistics & Probability Letters, Elsevier, vol. 38(2), pages 187-195, June.
  73. 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.
  74. 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.
  75. Szymon Borak & Wolfgang Härdle & Rafal Weron, 2005. "Stable Distributions," SFB 649 Discussion Papers SFB649DP2005-008, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  76. 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.
  77. Rafal Weron & Ingve Simonsen & Piotr Wilman, 2003. "Modeling highly volatile and seasonal markets: evidence from the Nord Pool electricity market," Econometrics 0303007, University Library of Munich, Germany.
  78. Feng, Jing & Xu, Wei & Xu, Yong & Wang, Xiaolong, 2018. "Phase transition and alternation in a model of perceptual bistability in the presence of Lévy noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 367-378.
  79. Stergios B. Fotopoulos & Sung K. Ahn, 2003. "Rank Based Dickey–Fuller Test Statistics," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(6), pages 647-662, November.
  80. 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.
  81. Mahdi Teimouri & Saralees Nadarajah, 2013. "On simulating truncated stable random variables," Computational Statistics, Springer, vol. 28(5), pages 2367-2377, October.
  82. 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.
  83. 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.
  84. Cornelis A. Los, 2005. "The Degree of Stability of Price Diffusion," Finance 0508006, University Library of Munich, Germany.
  85. 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.
  86. Eliazar, Iddo, 2010. "The extremal independence problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(4), pages 659-666.
  87. 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.
  88. 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.
  89. Raul Matsushita & Iram Gleria & Annibal Figueiredo & Sergio Da Silva, 2004. "The Econophysics of the Brazilian Real-US Dollar Rate," Finance 0407012, University Library of Munich, Germany.
  90. Detlef Seese & Christof Weinhardt & Frank Schlottmann (ed.), 2008. "Handbook on Information Technology in Finance," International Handbooks on Information Systems, Springer, number 978-3-540-49487-4, November.
  91. Janczura, Joanna & Wyłomańska, Agnieszka, 2009. "Subdynamics of financial data from fractional Fokker-Planck equation," MPRA Paper 30649, University Library of Munich, Germany.
  92. Audrius Kabašinskas & Leonidas Sakalauskas & Ingrida Vaičiulytė, 2021. "An Analytical EM Algorithm for Sub-Gaussian Vectors," Mathematics, MDPI, vol. 9(9), pages 1-20, April.
  93. 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.
  94. Xu, Yong & Wu, Juan & Du, Lin & Yang, Hui, 2016. "Stochastic resonance in a genetic toggle model with harmonic excitation and Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 92(C), pages 91-100.
  95. Moreno-Torres, Lucia Rebeca & Gomez-Vieyra, Armando & Lovallo, Michele & Ramírez-Rojas, Alejandro & Telesca, Luciano, 2018. "Investigating the interaction between rough surfaces by using the Fisher–Shannon method: Implications on interaction between tectonic plates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 560-565.
  96. 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.
  97. 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.
  98. Yiying Cheng & Yaozhong Hu & Hongwei Long, 2020. "Generalized moment estimators for $$\alpha $$α-stable Ornstein–Uhlenbeck motions from discrete observations," Statistical Inference for Stochastic Processes, Springer, vol. 23(1), pages 53-81, April.
  99. 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.
  100. 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.
  101. Foad Shokrollahi, 2017. "The evaluation of geometric Asian power options under time changed mixed fractional Brownian motion," Papers 1712.05254, arXiv.org.
  102. Dybiec, Bartłomiej, 2008. "Random strategies of contact tracking," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(19), pages 4863-4870.
  103. Guignard, Fabian & Lovallo, Michele & Laib, Mohamed & Golay, Jean & Kanevski, Mikhail & Helbig, Nora & Telesca, Luciano, 2019. "Investigating the time dynamics of wind speed in complex terrains by using the Fisher–Shannon method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 611-621.
  104. 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.
  105. Foad Shokrollahi, 2016. "Subdiffusive fractional Brownian motion regime for pricing currency options under transaction costs," Papers 1612.06665, arXiv.org, revised Aug 2017.
  106. Weron, Rafał, 2004. "Computationally intensive Value at Risk calculations," Papers 2004,32, Humboldt University of Berlin, Center for Applied Statistics and Economics (CASE).
  107. Janczura, Joanna & Weron, Rafal, 2010. "An empirical comparison of alternate regime-switching models for electricity spot prices," Energy Economics, Elsevier, vol. 32(5), pages 1059-1073, September.
  108. 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.
  109. Yunyan Wang & Lixin Zhang, 2013. "Local linear estimation for stochastic processes driven by $$\alpha $$ α -stable L $$\acute{\mathbf{e}}$$ e ´ vy motion," Statistical Inference for Stochastic Processes, Springer, vol. 16(2), pages 161-171, July.
  110. René Yamapi & Raoul Mbakob Yonkeu & Giovanni Filatrella & Jürgen Kurths, 2019. "Lévy noise induced transitions and enhanced stability in a birhythmic van der Pol system," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(7), pages 1-13, July.
  111. 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.
  112. 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.
  113. Archil Gulisashvili, 2012. "Asymptotic Equivalence In Lee'S Moment Formulas For The Implied Volatility, Asset Price Models Without Moment Explosions, And Piterbarg'S Conjecture," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 1-34.
  114. 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.
  115. Krzysztof Burnecki, 1998. "Self-similar models in risk theory," HSC Research Reports HSC/98/03, Hugo Steinhaus Center, Wroclaw University of Technology.
  116. 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.
  117. 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.
  118. 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.
  119. 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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