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A generalized skew two-piece skew-normal distribution

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  • A. Jamalizadeh

    ()

  • A. Arabpour
  • N. Balakrishnan

    ()

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    Abstract

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    File URL: http://hdl.handle.net/10.1007/s00362-009-0240-x
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    Bibliographic Info

    Article provided by Springer in its journal Statistical Papers.

    Volume (Year): 52 (2011)
    Issue (Month): 2 (May)
    Pages: 431-446

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    Handle: RePEc:spr:stpapr:v:52:y:2011:i:2:p:431-446

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    Web page: http://www.springer.com/statistics/business/journal/362

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    Related research

    Keywords: Skew-normal distribution; Generalized skew-normal distribution; Two-piece skew-normal distribution; Generalized two-piece skew-normal distribution; Generalized skew two-piece skew-normal distribution; Unimodality and bimodality; Orthant probability;

    References

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    1. Branco, Márcia D. & Dey, Dipak K., 2001. "A General Class of Multivariate Skew-Elliptical Distributions," Journal of Multivariate Analysis, Elsevier, vol. 79(1), pages 99-113, October.
    2. Adelchi Azzalini, 2005. "The Skew-normal Distribution and Related Multivariate Families," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics & Finnish Statistical Society & Norwegian Statistical Association & Swedish Statistical Association, vol. 32(2), pages 159-188.
    3. Ramesh Gupta & Rameshwar Gupta, 2004. "Generalized skew normal model," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 13(2), pages 501-524, December.
    4. Loperfido, Nicola, 2001. "Quadratic forms of skew-normal random vectors," Statistics & Probability Letters, Elsevier, vol. 54(4), pages 381-387, October.
    5. Barry Arnold & Robert Beaver & A. Azzalini & N. Balakrishnan & A. Bhaumik & D. Dey & C. Cuadras & J. Sarabia & Barry Arnold & Robert Beaver, 2002. "Skewed multivariate models related to hidden truncation and/or selective reporting," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 11(1), pages 7-54, June.
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    Cited by:
    1. Ali Genç, 2013. "A skew extension of the slash distribution via beta-normal distribution," Statistical Papers, Springer, vol. 54(2), pages 427-442, May.
    2. Teimouri, Mahdi & Nadarajah, Saralees, 2013. "On simulating Balakrishnan skew-normal variates," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 52-58.

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