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A Characterization of the Negative Multinomial Distribution


  • Panaretos, John


This paper deals with a characterization of the negative multinomial distribution. It is based on the assumption that the conditional distribution of two random vectors is multivariate inverse hypergeometric. It makes use essentially of a multivariate analogue of a condition known in the literature as the Rao-Rubin condition. The result is extended to include characterizations of truncated forms of the negative multinomial distribution. Comparison with previous results in the field is made and an example is included to demonstrate a possible use of the characterization

Suggested Citation

  • Panaretos, John, 1981. "A Characterization of the Negative Multinomial Distribution," MPRA Paper 6227, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:6227

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    References listed on IDEAS

    1. Panaretos, John, 1982. "On Characterizing Some Discrete Distributions Using an Extension of the Rao-Rubin Theorem," MPRA Paper 6229, University Library of Munich, Germany.
    2. Xekalaki, Evdokia & Panaretos, John, 1979. "Characterization of the Compound Poisson Distribution," MPRA Paper 6221, University Library of Munich, Germany.
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    Cited by:

    1. Panaretos, John, 1983. "On Some Bivariate Discrete Distributions with Multivariate Components," MPRA Paper 68041, University Library of Munich, Germany.

    More about this item


    Negative multinomial distribution; multivariate inverse hypergeometric distribution; truncated negative multinomial distribution; Rao-Rubin condition; Shanbhag's lemma;

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General


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