Rates of Poisson approximation to finite range random fields (Q1210484)
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scientific article; zbMATH DE number 179287
| Language | Label | Description | Also known as |
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| English | Rates of Poisson approximation to finite range random fields |
scientific article; zbMATH DE number 179287 |
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Rates of Poisson approximation to finite range random fields (English)
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6 April 1994
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The Stein-Chen approach [see \textit{L. H. Y. Chen}, Ann. Probab. 3, 534-545 (1975; Zbl 0335.60016)] is used to obtain bounds on the Poisson approximation of a random field, in both a random variable and a stochastic process sense. The hypotheses are Dobrushin's condition or, alternatively, positive dependence combined with a bound on decay of correlations. Rates of convergence are derived.
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rates of convergence
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Stein-Chen approach
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Poisson approximation
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Dobrushin's condition
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0.9091482
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0.9062846
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0.90157735
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0.8950035
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0.89314234
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