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On the extended two-parameter generalized skew-normal distribution

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  • Ogundimu, Emmanuel O.
  • Hutton, Jane L.

Abstract

We propose a three-parameter skew-normal distribution, obtained by using hidden truncation on a skew-normal random variable. The hidden truncation framework permits direct interpretation of the model parameters. A link is established between the model and the closed skew-normal distribution.

Suggested Citation

  • Ogundimu, Emmanuel O. & Hutton, Jane L., 2015. "On the extended two-parameter generalized skew-normal distribution," Statistics & Probability Letters, Elsevier, vol. 100(C), pages 142-148.
    • Handle: RePEc:eee:stapro:v:100:y:2015:i:c:p:142-148
    DOI: 10.1016/j.spl.2015.02.016
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    References listed on IDEAS

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    1. Reinaldo B. Arellano-Valle & Marc G. Genton, 2010. "Multivariate extended skew-t distributions and related families," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 201-234.
    2. 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;Sociedad de Estadística e Investigación Operativa, vol. 11(1), pages 7-54, June.
    3. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 31(3), pages 129-137.
    4. Jamalizadeh, A. & Behboodian, J. & Balakrishnan, N., 2008. "A two-parameter generalized skew-normal distribution," Statistics & Probability Letters, Elsevier, vol. 78(13), pages 1722-1726, September.
    5. Barry Arnold & Robert Beaver & Richard Groeneveld & William Meeker, 1993. "The nontruncated marginal of a truncated bivariate normal distribution," Psychometrika, Springer;The Psychometric Society, vol. 58(3), pages 471-488, September.
    6. Arellano-Valle, R. B. & del Pino, G. & San Martín, E., 2002. "Definition and probabilistic properties of skew-distributions," Statistics & Probability Letters, Elsevier, vol. 58(2), pages 111-121, June.
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