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On Some Distributions Arising from Certain Generalized Sampling Schemes


  • Panaretos, John
  • Xekalaki, Evdokia


With the notion of success in a series of trials extended to refer to a run of like outcomes, several new distributions are obtained as the result of sampling from an urn without replacement or with additional replacements. In this context, the hypergeometric, negative hypergeometric, logarithmic series, generalized Waring, Polya and inverse Polya distributions are extended and their properties are studied

Suggested Citation

  • Panaretos, John & Xekalaki, Evdokia, 1986. "On Some Distributions Arising from Certain Generalized Sampling Schemes," MPRA Paper 6249, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:6249

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    References listed on IDEAS

    1. Panaretos, John & Xekalaki, Evdokia, 1986. "The stuttering generalized waring distribution," Statistics & Probability Letters, Elsevier, vol. 4(6), pages 313-318, October.
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    Cited by:

    1. Sigeo Aki & Katuomi Hirano, 2016. "On monotonicity of expected values of some run-related distributions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 68(5), pages 1055-1072, October.
    2. Sigeo Aki, 2012. "Statistical modeling for discrete patterns in a sequence of exchangeable trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 64(3), pages 633-655, June.
    3. 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


    distribution of order k; hypergeometric; negative hypergeometric; logarithmic series; generalized Waring distribution; binomial; Poisson; negative binomial; Polya and inverse Polya distribution;

    JEL classification:

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


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