Poisson approximations in selected metrics by coupling and semigroup methods with applications (Q1110185)
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scientific article; zbMATH DE number 4072028
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Poisson approximations in selected metrics by coupling and semigroup methods with applications |
scientific article; zbMATH DE number 4072028 |
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Poisson approximations in selected metrics by coupling and semigroup methods with applications (English)
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1988
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Bounds are derived for Wasserstein type distances between the sum of independent non-identically distributed binomial random variables and approximating Poisson distributions. The bounds based on coupling arguments and on semigroup-techniques are sharp and of order O(\(\sum p^ 2_ i)\) if max \(p_ i\to 0\) and \(\sum p_ i\) is bounded.
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Poisson approximation
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Wasserstein metrics
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minimal metrics
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coupling arguments
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semigroup-techniques
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