A triparametric discrete distribution with complex parameters

• DOI: 10.1007/bf02778271
• Publication Date: 2007-12-26T12:46:01Z
• Authors: José Rodríguez-Avi; Antonio Conde-Sán...; Antonio José Sáez...; María José Olmo-J...
• Keywords: Hypergeometric distribution

Rodriguez-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.