Exponential bounds for generalized Poisson distributions (Q1273371)
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scientific article; zbMATH DE number 1230323
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exponential bounds for generalized Poisson distributions |
scientific article; zbMATH DE number 1230323 |
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Exponential bounds for generalized Poisson distributions (English)
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10 December 1998
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The present paper investigates the exponential bounds for the generalized Poisson distributions, i.e. for distributions of random sums of independent random variables with Poisson index. The constructed exponential estimates for the probabilities of large deviations of Poisson random sums are proved to coincide virtually with the similar estimates for the sums with a non-random index.
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generalized Poisson distributions
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exponential bounds
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large deviations of Poisson random sums
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