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- W2472159109 abstract "SUMMARY. It is shown that given a power series distribution (PSD) with the range {0, 1, 2, ..., n} or {0, 1, 2, ...} and the natural parameter space {d : 0 < 6 < P} there exists a family of absolutely continuous distributions over (0, p) such that the lower (upper) tail pro babilities of the PSD are given as certain upper (lower) tail probabilities of the family of the absolutely continuous distributions. This generalizes a similar well-known relation between the Poisson and gamma distributions. The result is applied to obtain (i) integral expressions for tail probabilities of the Hermite distribution and (ii) integral expressions for the distribution function of the difference of two independent random variables with PSD's." @default.
- W2472159109 created "2016-07-22" @default.
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- W2472159109 date "2016-01-01" @default.
- W2472159109 modified "2023-09-26" @default.
- W2472159109 title "NOTES INTEGRAL EXPRESSIONS FOR THE TAIL PROBABILITIES OF THE POWER SERIES DISTRIBUTIONS" @default.
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