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On truncated bivariate discrete distributions: A unified treatment

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Abstract

A unified treatment of three types of zero class truncation for bivariate discrete distributions is presented. Using the probability generating function approach, various properties of the truncated distributions are examined in association with the corresponding properties of the initial complete form of the distribution. Expressions for moments and conditional distributions are also obtained. Bivariate versions of the Thomas and the Intervened Poisson distributions are introduced and used as illustrative examples.

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Authors and Affiliations

  1. Department of Mathematics, University of Athens, Panepistemiopolis, 000, 15784, Athens, Greece

    Violetta E. Piperigou

  2. Department of Mathematics, University of Athens, Panepistemiopolis, no street, 000, 15784, Athens, Greece

    H. Papageorgiou

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  1. Violetta E. Piperigou
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  2. H. Papageorgiou
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Correspondence to Violetta E. Piperigou or H. Papageorgiou.

Additional information

Received November 2000/Revised March 2002

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Piperigou, V.E., Papageorgiou, H. On truncated bivariate discrete distributions: A unified treatment. Metrika 58, 221–233 (2003). https://doi.org/10.1007/s001840200239

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  • DOI: https://doi.org/10.1007/s001840200239

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