Heine-euler extensions of the poisson distribution |
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| Authors: | Adrienne W Kemp |
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| Institution: | Department of Mathematical and Computational Sciences , University of St Andrews , KYI6 9SS, Scotland |
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| Abstract: | The paper shows that the Heine and Euler distributions (Benkherouf and Bather, 1988) are members of a family of q-series anologues of the Poisson distribution, with similar probability mass functions, but different restrictions on their parameters, and different modes of genesis and properties. The relationships between the Heine, Euler, pseudo-Euler, Poisson and geometric distributions are explored. Illustrative data sets are discussed. |
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| Keywords: | Heine distribution Euler distribution psedo-Euler distribution q-series analogues of Poisson distribution |
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