Summary
Starting from the expected value of a certain transformation of the Poisson random variable, a new family of discrete distributions is proposed. Special attention is given to particular members of the family. In this way a discrete distribution is obtained, named “simple meta-Poisson,” whose unique parameter is the quadratic mean. The potential usefulness of the simple meta-Poisson distribution is confirmed by its fit compared with the fits of various two-parameters distributions.
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© 1981 D. Reidel Publishing Company
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Ferreri, C. (1981). On a New Family of Discrete Distributions. In: Taillie, C., Patil, G.P., Baldessari, B.A. (eds) Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 79. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8549-0_13
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DOI: https://doi.org/10.1007/978-94-009-8549-0_13
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