Operator semigroups and Poisson convergence in selected metrics (Q1084751)
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scientific article; zbMATH DE number 3980137
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Operator semigroups and Poisson convergence in selected metrics |
scientific article; zbMATH DE number 3980137 |
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Operator semigroups and Poisson convergence in selected metrics (English)
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1986
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The paper continues earlier work of the authors on the same subject [Ann. Probab. 14, 663-676 (1986; Zbl 0597.60019)]. Special emphasis is given to the problem of the best-approximating Poisson distribution for a class of Poisson binomial distributions with respect to selected probability metrics (total variation, Kolmogorov- and Fortet-Mourier metric). Estimations for the corresponding distances are obtained via a suitable semigroup approach.
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probability metrics
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Poisson distribution
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Poisson binomial distributions
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semigroup approach
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