A new class of discrete distributions with complex parameters

Statistical Papers volume 44, pages67–88(2003)Cite this article

Abstract

In this paper we present a new family of Pearson’s discrete distributions that may be obtained when the second polynomial coefficient in the difference equation does not have real solutions. We study its most important probabilistic properties, convergence results and the problem of estimation. To conclude, we present two examples illustrating the optimum level of fit achieved in the description of real data obtained from the field of sport and compare them with some other discrete distributions.

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Affiliations

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

    José Rodríguez-Avi, Antonio Conde-Sánchez & Antonio José Sáez-Castillo

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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Correspondence to José Rodríguez-Avi.

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Rodríguez-Avi, J., Conde-Sánchez, A. & Sáez-Castillo, A.J. A new class of discrete distributions with complex parameters. Statistical Papers 44, 67–88 (2003). https://doi.org/10.1007/s00362-002-0134-7

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Key words

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