IDEAS home Printed from https://ideas.repec.org/a/spr/compst/v28y2013i5p2367-2377.html
   My bibliography  Save this article

On simulating truncated stable random variables

Author

Listed:
  • Mahdi Teimouri
  • Saralees Nadarajah

Abstract

Soltani and Shirvani (Comput Stat 25:155–161, 2010 ) proposed a scheme for simulating truncated stable random variables. That involves solving a nonlinear transformation in each realization. Here, we propose alternative schemes to generate truncated stable random variables. Our schemes are more general (for example, incorporates one-sided and two-sided truncations) and are shown to be more efficient. Copyright Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Mahdi Teimouri & Saralees Nadarajah, 2013. "On simulating truncated stable random variables," Computational Statistics, Springer, vol. 28(5), pages 2367-2377, October.
    • Handle: RePEc:spr:compst:v:28:y:2013:i:5:p:2367-2377
    DOI: 10.1007/s00180-013-0397-6
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00180-013-0397-6
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00180-013-0397-6?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. A. Soltani & A. Shirvani, 2010. "Truncated stable random variables: characterization and simulation," Computational Statistics, Springer, vol. 25(1), pages 155-161, March.
    2. Christian Menn & Svetlozar Rachev, 2009. "Smoothly truncated stable distributions, GARCH-models, and option pricing," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 69(3), pages 411-438, July.
    3. Nolan, John P., 1998. "Parameterizations and modes of stable distributions," Statistics & Probability Letters, Elsevier, vol. 38(2), pages 187-195, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Torsten Heinrich & Jangho Yang & Shuanping Dai, 2020. "Growth, development, and structural change at the firm-level: The example of the PR China," Papers 2012.14503, arXiv.org.
    2. Menn, Christian & Rachev, Svetlozar T., 2006. "Calibrated FFT-based density approximations for [alpha]-stable distributions," Computational Statistics & Data Analysis, Elsevier, vol. 50(8), pages 1891-1904, April.
    3. Mahdi Teimouri & Saralees Nadarajah, 2022. "Maximum Likelihood Estimation for the Asymmetric Exponential Power Distribution," Computational Economics, Springer;Society for Computational Economics, vol. 60(2), pages 665-692, August.
    4. Shin Kim, Young & Rachev, Svetlozar T. & Leonardo Bianchi, Michele & Fabozzi, Frank J., 2010. "Tempered stable and tempered infinitely divisible GARCH models," Journal of Banking & Finance, Elsevier, vol. 34(9), pages 2096-2109, September.
    5. Eom, Cheoljun & Kaizoji, Taisei & Scalas, Enrico, 2019. "Fat tails in financial return distributions revisited: Evidence from the Korean stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    6. Lorenzo Mercuri & Fabio Bellini, 2014. "Option Pricing in a Dynamic Variance-Gamma Model," Papers 1405.7342, arXiv.org.
    7. Kim, Young Shin & Rachev, Svetlozar T. & Bianchi, Michele Leonardo & Mitov, Ivan & Fabozzi, Frank J., 2011. "Time series analysis for financial market meltdowns," Journal of Banking & Finance, Elsevier, vol. 35(8), pages 1879-1891, August.
    8. Fofack, Hippolyte & Nolan, John P., 2001. "Distribution of parallel exchange rates in African countries," Journal of International Money and Finance, Elsevier, vol. 20(7), pages 987-1001, December.
    9. 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.
    10. W. D. Walls & Jordi McKenzie, 2020. "Black swan models for the entertainment industry with an application to the movie business," Empirical Economics, Springer, vol. 59(6), pages 3019-3032, December.
    11. Mitchell, James, 2002. "The use of non-normal distributions in quantifying qualitative survey data on expectations," Economics Letters, Elsevier, vol. 76(1), pages 101-107, June.
    12. Fontanari, Andrea & Taleb, Nassim Nicholas & Cirillo, Pasquale, 2018. "Gini estimation under infinite variance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 256-269.
    13. Jangho Yang & Torsten Heinrich & Julian Winkler & François Lafond & Pantelis Koutroumpis & J. Doyne Farmer, 2025. "Measuring productivity dispersion: a parametric approach using the Lévy alpha-stable distribution," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 34(1), pages 79-117.
    14. Hui Tian & Andrew Yim & David P. Newton, 2021. "Tail-Heaviness, Asymmetry, and Profitability Forecasting by Quantile Regression," Management Science, INFORMS, vol. 67(8), pages 5209-5233, August.
    15. José Antonio Climent Hernández, 2017. "Portafolios de dispersión mínima con rendimientos log-estables," Remef - Revista Mexicana de Economía y Finanzas Nueva Época REMEF (The Mexican Journal of Economics and Finance), Instituto Mexicano de Ejecutivos de Finanzas, IMEF, vol. 12(2), pages 49-69, Abril-Jun.
    16. Aastha M. Sathe & Neelesh S. Upadhye & Agnieszka Wyłomańska, 2024. "Forecasting multidimensional autoregressive time series model with symmetric $$\alpha$$ α -stable noise using artificial neural networks," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 33(3), pages 783-805, July.
    17. Matthias R. Fengler & Alexander Melnikov, 2018. "GARCH option pricing models with Meixner innovations," Review of Derivatives Research, Springer, vol. 21(3), pages 277-305, October.
    18. George Tzagkarakis & Frantz Maurer, 2023. "Horizon-Adaptive Extreme Risk Quantification for Cryptocurrency Assets," Computational Economics, Springer;Society for Computational Economics, vol. 62(3), pages 1251-1286, October.
    19. José Antonio Climent-Hernández, 2017. "Portafolios de dispersión mínima con rendimientos log-estables Minimum dispersion portfolios with log-stable returns," Remef - The Mexican Journal of Economics and Finance, Instituto Mexicano de Ejecutivos de Finanzas. Remef, March.
    20. Muneya Matsui & Akimichi Takemura, 2004. "Some Improvements in Numerical Evaluation of Symmetric Stable Density and its Derivatives," CIRJE F-Series CIRJE-F-292, CIRJE, Faculty of Economics, University of Tokyo.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:compst:v:28:y:2013:i:5:p:2367-2377. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.