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The D compound Poisson distribution

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Abstract

A new extension of the Neyman Type A distribution is presented in this paper. It is called the D Compound Poisson distribution (D-CPD) and is based on the D distribution, D numbers and an incomplete exponential function. The properties of D-CPD are studied. The maximum likelihood estimation of the parameters, and a minimum variance unbiased estimator (MUVE) of the probability function of the D-CPD are given. It is interesting to observe that this MVUE depends on only three D numbers. An example of the applications of D-CPD is provided at the end.

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Authors and Affiliations

  1. Department of Mathematics, Brock University, L2S 3A1, St. Catharines, Ontario, Canada

    M. L. Huang

  2. Department of Mathematics and Statistics, University of Windsor, N9B 3P4, Windsor, Ontario, Canada

    K. Y. Fung

Authors
  1. M. L. Huang
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  2. K. Y. Fung
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Huang, M.L., Fung, K.Y. The D compound Poisson distribution. Statistical Papers 34, 319–338 (1993). https://doi.org/10.1007/BF02925552

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  • DOI: https://doi.org/10.1007/BF02925552

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