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A characterization for truncated cauchy random variables with nonzero skewness parameter

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Abstract

Soltani and Shirvani (Comput Stat 25:155–161, 2010) provided a characterization and a simulation method for truncated stable random variables when the characteristic exponent \(\alpha \ne 1 \), and left the case \(\alpha =1\) open. The case of \(\alpha =1\) is treated in this article.

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References

  • Chambers JM, Mallows CL, Stuck BW (1976) A method for simulating stable random variables. J Am Stat Assoc 71(354):340–344

    Article  MathSciNet  MATH  Google Scholar 

  • Kanter M (1975) Stable densities under change of scale and total variation inequalities. Ann Probab 3(4):697–707

    Article  MathSciNet  MATH  Google Scholar 

  • Nadarajah S, Kotz S (2007) Programs in R for cumputing truncated Cauchy distributions. Qual Technol Quant Manag 4(3):407–412

    MathSciNet  Google Scholar 

  • Nolan JP (2002) Stable distributions-models for heavy tailed data. Birkhauser, Boston

    Google Scholar 

  • Soltani AR, Shirvani A (2010) Truncated stable random variables: characterization and simulation. Comput Stat 25:155–161

    Article  MathSciNet  MATH  Google Scholar 

  • Soltani AR, Shirvani A, Qallaf F (2009) A class of discrete distributions induced by stable laws. Stat Probab Lett 79:1608–1614

    Article  MATH  Google Scholar 

  • Uchaikin VV, Zolotarev VM (1999) Chance and stability: stable distributions and their applications. Brill Academic Publisher, Boston

    Book  MATH  Google Scholar 

  • Weron A, Weron R (1995) Computer simulation of Lévy \(\alpha \)-stable variables and processes. Lect Notes Phys 457:379–392

    Article  MathSciNet  Google Scholar 

  • Zolotarev VM (1986) One dimenstional stable distributions. Translations of mathematical monographs, vol. 65. American Mathematical Society, Providence.

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Authors and Affiliations

  1. Department of Water Engineering and the Oceanic and Atmospheric Research Center, College of Agriculture, Shiraz University, 71454,  Shiraz, Iran

    A. Shirvani

  2. Department of Statistics, College of Science, Shiraz University, 71454,  Shiraz, Iran

    A. R. Soltani

  3. Department of Statistics and Operations Research, Faculty of Sciences, Kuwait University, P.O. Box 5969, 13060,  Safat, State of Kuwait

    A. R. Soltani

Authors
  1. A. Shirvani
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  2. A. R. Soltani
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Correspondence to A. Shirvani.

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Shirvani, A., Soltani, A.R. A characterization for truncated cauchy random variables with nonzero skewness parameter. Comput Stat 28, 1011–1016 (2013). https://doi.org/10.1007/s00180-012-0340-2

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  • DOI: https://doi.org/10.1007/s00180-012-0340-2

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