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On Some Distributions Arising in Inverse Cluster Sampling


  • Xekalaki, Evdokia
  • Panaretos, John


In this paper, distributions of items sampled inversely in clusters are derived. In particular, negative binomial type of distributions are obtained and their properties are studied. A logarithmic series, type of distribution is also defined as limiting form of the obtained generalized negative binomial distribution

Suggested Citation

  • Xekalaki, Evdokia & Panaretos, John, 1989. "On Some Distributions Arising in Inverse Cluster Sampling," MPRA Paper 6252, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:6252

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    References listed on IDEAS

    1. Panaretos, John & Xekalaki, Evdokia, 1986. "On Generalized Binomial and Multinomial Distributions and Their Relation to Generalized Poisson Distributions," MPRA Paper 6248, University Library of Munich, Germany.
    2. Panaretos, John, 1983. "A Generating Model Involving Pascal and Logarithmic Series Distributions," MPRA Paper 6246, University Library of Munich, Germany.
    3. Xekalaki, Evdokia & Panaretos, John, 1983. "Identifiability of Compound Poisson Distributions," MPRA Paper 6244, University Library of Munich, Germany.
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    Cited by:

    1. C. Satheesh Kumar & A. Riyaz, 2015. "A zero-inflated logarithmic series distribution of order k and its applications," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 99(1), pages 31-43, January.

    More about this item


    Cluster negative binomial distribution; Generalized Poisson distribution; Sluttering generalized Waring distribution; Cluster logarithmic series distribution;

    JEL classification:

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


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