A triparametric discrete distribution with complex parameters

Statistical Papers volume 45, pages81–95(2004)Cite this article

Abstract

Rodríguez-Aviet al. (2002) give a general description of a discrete distribution generated by the Gaussian hypergeometric function with complex parameters and provide a detailed study of a biparametric distribution, namedCBPD, under conditions where the complex parameters have no real part. In this paper we present a more complete study of the discrete distribution obtained in the general case. Thus, its main probabilistic properties are described, convergence results are generalized and, finally, methods of estimation are developed with some examples of applications.

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Affiliations

  1. Departamento de Estadística e I.O., Universidad de Jaén, Despacho 147, Ed. D-3, Paraje Las Lagunillas, 23071, Jaén, Spain

    José Rodríguez-Avi, Antonio Conde-Sánchez, Antonio José Sáez-Castillo & María José Olmo-Jiménez

Authors
  1. José Rodríguez-Avi
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  2. Antonio Conde-Sánchez
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  3. Antonio José Sáez-Castillo
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  4. María José Olmo-Jiménez
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Correspondence to José Rodríguez-Avi.

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Rodríguez-Avi, J., Conde-Sánchez, A., Sáez-Castillo, A.J. et al. A triparametric discrete distribution with complex parameters. Statistical Papers 45, 81–95 (2004). https://doi.org/10.1007/BF02778271

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Key words

  • Pearson’s family
  • hypergeometric function
  • discrete distributions
  • estimation
  • infinite divisibility