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On the Chambers-Mallows-Stuck method for simulating skewed stable random variables

Citations

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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. Spagnolo, B. & Valenti, D. & Guarcello, C. & Carollo, A. & Persano Adorno, D. & Spezia, S. & Pizzolato, N. & Di Paola, B., 2015. "Noise-induced effects in nonlinear relaxation of condensed matter systems," Chaos, Solitons & Fractals, Elsevier, vol. 81(PB), pages 412-424.
  3. Jean‐Marie Dufour & Lynda Khalaf & Marie‐Claude Beaulieu, 2003. "Exact Skewness–Kurtosis Tests for Multivariate Normality and Goodness‐of‐Fit in Multivariate Regressions with Application to Asset Pricing Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 65(s1), pages 891-906, December.
  4. Svetlana Boyarchenko & Sergei Levendorskiu{i}, 2022. "Efficient evaluation of expectations of functions of a stable L\'evy process and its extremum," Papers 2209.12349, arXiv.org.
  5. 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.
  6. Svetlana Boyarchenko & Sergei Levendorskii, 2023. "Simulation of a L\'evy process, its extremum, and hitting time of the extremum via characteristic functions," Papers 2312.03929, arXiv.org.
  7. Barunik, Jozef & Kristoufek, Ladislav, 2010. "On Hurst exponent estimation under heavy-tailed distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(18), pages 3844-3855.
  8. Koenker, Roger & Portnoy, Stephen, 2000. "Some pathological regression asymptotics under stable conditions," Statistics & Probability Letters, Elsevier, vol. 50(3), pages 219-228, November.
  9. J.-F. Chamayou, 2001. "Pseudo random numbers for the Landau and Vavilov distributions," Computational Statistics, Springer, vol. 16(1), pages 131-152, March.
  10. Danish A. Ahmed & Sergei V. Petrovskii & Paulo F. C. Tilles, 2018. "The “Lévy or Diffusion” Controversy: How Important Is the Movement Pattern in the Context of Trapping?," Mathematics, MDPI, vol. 6(5), pages 1-27, May.
  11. Haoyu Wei & Runzhe Wan & Lei Shi & Rui Song, 2023. "Zero-Inflated Bandits," Papers 2312.15595, arXiv.org, revised Jan 2025.
  12. Tsionas, Mike, 2012. "Simple techniques for likelihood analysis of univariate and multivariate stable distributions: with extensions to multivariate stochastic volatility and dynamic factor models," MPRA Paper 40966, University Library of Munich, Germany, revised 20 Aug 2012.
  13. Dufour, Jean-Marie & Kurz-Kim, Jeong-Ryeol, 2003. "Exact tests and confidence sets for the tail coefficient of a-stable distributions," Discussion Paper Series 1: Economic Studies 2003,16, Deutsche Bundesbank.
  14. Drew Creal & Siem Jan Koopman & André Lucas & Marcin Zamojski, 2015. "Generalized Autoregressive Method of Moments," Tinbergen Institute Discussion Papers 15-138/III, Tinbergen Institute, revised 06 Jul 2018.
  15. Enrico Scalas & Kyungsik Kim, 2006. "The art of fitting financial time series with Levy stable distributions," Papers physics/0608224, arXiv.org.
  16. Szczurek, Andrzej & Maciejewska, Monika & Wyłomańska, Agnieszka & Sikora, Grzegorz & Balcerek, Michał & Teuerle, Marek, 2016. "Discrimination of particulate matter emission sources using stochastic methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 452-466.
  17. De Domenico, Federica & Livan, Giacomo & Montagna, Guido & Nicrosini, Oreste, 2023. "Modeling and simulation of financial returns under non-Gaussian distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
  18. repec:hum:wpaper:sfb649dp2005-008 is not listed on IDEAS
  19. Marie-Claude Beaulieu & Jean-Marie Dufour & Lynda Khalaf, 2005. "Exact Multivariate Tests of Asset Pricing Models with Stable Asymmetric Distributions," Springer Books, in: Michèle Breton & Hatem Ben-Ameur (ed.), Numerical Methods in Finance, chapter 0, pages 173-191, Springer.
  20. Szymon Borak & Wolfgang Härdle & Rafał Weron, 2005. "Stable Distributions," Springer Books, in: Statistical Tools for Finance and Insurance, chapter 1, pages 21-44, Springer.
  21. Dassios, Angelos & Qu, Yan & Zhao, Hongbiao, 2018. "Exact simulation for a class of tempered stable," LSE Research Online Documents on Economics 86981, London School of Economics and Political Science, LSE Library.
  22. repec:dau:papers:123456789/6326 is not listed on IDEAS
  23. 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.
  24. Taufer, Emanuele, 2015. "On the empirical process of strongly dependent stable random variables: asymptotic properties, simulation and applications," Statistics & Probability Letters, Elsevier, vol. 106(C), pages 262-271.
  25. Federica De Domenico & Giacomo Livan & Guido Montagna & Oreste Nicrosini, 2023. "Modeling and Simulation of Financial Returns under Non-Gaussian Distributions," Papers 2302.02769, arXiv.org.
  26. Weron, Rafał, 2004. "Computationally intensive Value at Risk calculations," Papers 2004,32, Humboldt University of Berlin, Center for Applied Statistics and Economics (CASE).
  27. Rafal Weron, 2006. "Modeling and Forecasting Electricity Loads and Prices: A Statistical Approach," HSC Books, Hugo Steinhaus Center, Wroclaw University of Science and Technology, number hsbook0601, December.
  28. Goddard, John & Onali, Enrico, 2012. "Self-affinity in financial asset returns," International Review of Financial Analysis, Elsevier, vol. 24(C), pages 1-11.
  29. Jeong-Ryeol Kim, 2003. "Finite-sample distributions of self-normalised sums," Computational Statistics, Springer, vol. 18(3), pages 493-504, September.
  30. Kerger, Phillip & Kobayashi, Kei, 2020. "Parameter estimation for one-sided heavy-tailed distributions," Statistics & Probability Letters, Elsevier, vol. 164(C).
  31. Beaulieu, Marie-Claude & Dufour, Jean-Marie & Khalaf, Lynda, 2014. "Exact confidence sets and goodness-of-fit methods for stable distributions," Journal of Econometrics, Elsevier, vol. 181(1), pages 3-14.
  32. Guarcello, C., 2021. "Lévy noise effects on Josephson junctions," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
  33. Luc Devroye & Lancelot James, 2014. "On simulation and properties of the stable law," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 23(3), pages 307-343, August.
  34. Ma, Chao & Ma, Qinghua & Yao, Haixiang & Hou, Tiancheng, 2018. "An accurate European option pricing model under Fractional Stable Process based on Feynman Path Integral," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 87-117.
  35. Ramazanov, Ibadulla R. & Bukh, Andrei V. & Shepelev, Igor A., 2025. "Adaptive synchronization in excitable neuron ensemble under Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 201(P1).
  36. Kotchoni, Rachidi, 2012. "Applications of the characteristic function-based continuum GMM in finance," Computational Statistics & Data Analysis, Elsevier, vol. 56(11), pages 3599-3622.
  37. 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.
  38. Royuela-del-Val, Javier & Simmross-Wattenberg, Federico & Alberola-López, Carlos, 2017. "libstable: Fast, Parallel, and High-Precision Computation of α-Stable Distributions in R, C/C++, and MATLAB," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 78(i01).
  39. Chronis, George A., 2016. "Modelling the extreme variability of the US Consumer Price Index inflation with a stable non-symmetric distribution," Economic Modelling, Elsevier, vol. 59(C), pages 271-277.
  40. Matthieu Garcin & Karl Sawaya & Thomas Valade, 2025. "Prediction of linear fractional stable motions using codifference, with application to non-Gaussian rough volatility," Papers 2507.15437, arXiv.org, revised Nov 2025.
  41. Adam Misiorek & Rafal Weron, 2010. "Heavy-tailed distributions in VaR calculations," HSC Research Reports HSC/10/05, Hugo Steinhaus Center, Wroclaw University of Science and Technology.
  42. Marc S. Paolella, 2016. "Stable-GARCH Models for Financial Returns: Fast Estimation and Tests for Stability," Econometrics, MDPI, vol. 4(2), pages 1-28, May.
  43. Mbakob Yonkeu, R. & David, Afungchui, 2022. "Coherence and stochastic resonance in the fractional-birhythmic self-sustained system subjected to fractional time-delay feedback and Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
  44. Guo, Yongfeng & Wang, Linjie & Dong, Qiang & Lou, Xiaojuan, 2021. "Dynamical complexity of FitzHugh–Nagumo neuron model driven by Lévy noise and Gaussian white noise," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 430-443.
  45. Harry Pavlopoulos & George Chronis, 2023. "On highly skewed fractional log‐stable noise sequences and their application," Journal of Time Series Analysis, Wiley Blackwell, vol. 44(4), pages 337-358, July.
  46. Jurić, Višnja, 2025. "Two – Dimensional Modelling of Financial Data," Proceedings of the ENTRENOVA - ENTerprise REsearch InNOVAtion Conference (2024), Hybrid Conference, Dubrovnik, Croatia, in: Proceedings of the ENTRENOVA - ENTerprise REsearch InNOVAtion Conference, Hybrid Conference, Dubrovnik, Croatia, 5-7 September, 2024, pages 73-83, IRENET - Society for Advancing Innovation and Research in Economy, Zagreb.
  47. Wang, Xiaolong & Feng, Jing & Liu, Qi & Li, Yongge & Xu, Yong, 2022. "Neural network-based parameter estimation of stochastic differential equations driven by Lévy noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
  48. Parrini, Alessandro, 2012. "Indirect estimation of GARCH models with alpha-stable innovations," MPRA Paper 38544, University Library of Munich, Germany.
  49. Guo, Yongfeng & Wang, Linjie & Wei, Fang & Tan, Jianguo, 2019. "Dynamical behavior of simplified FitzHugh-Nagumo neural system driven by Lévy noise and Gaussian white noise," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 118-126.
  50. Yuyu Chen & Taizhong Hu & Seva Shneer & Zhenfeng Zou, 2025. "Stochastic dominance for linear combinations of infinite-mean risks," Papers 2505.01739, arXiv.org.
  51. Daniel Traian Pele & Vasile Nicolae Stanciulescu, 2015. "On a Class of Alpha-stable Distributions and Its Applications in Estimating Market Risk," The Review of Finance and Banking, Academia de Studii Economice din Bucuresti, Romania / Facultatea de Finante, Asigurari, Banci si Burse de Valori / Catedra de Finante, vol. 7(2), pages 007-015, December.
  52. Szymon Borak & Adam Misiorek & Rafał Weron, 2011. "Models for heavy-tailed asset returns," Springer Books, in: Pavel Cizek & Wolfgang Karl Härdle & Rafał Weron (ed.), Statistical Tools for Finance and Insurance, chapter 1, pages 21-55, Springer.
  53. Jean-Marie Dufour & Byunguk Kang, 2022. "Reverse Regressions, Symmetry and Test Distributions in Linear Models," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 20(1), pages 71-99, September.
  54. Hendrik J. Blok, 2000. "On the nature of the stock market: Simulations and experiments," Papers cond-mat/0010211, arXiv.org.
  55. Stéphane Goutte & David Guerreiro & Bilel Sanhaji & Sophie Saglio & Julien Chevallier, 2019. "International Financial Markets," Post-Print halshs-02183053, HAL.
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