A limit theorem of symmetric statistics for nonidentically distributed independent random elements (Q2641022)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A limit theorem of symmetric statistics for nonidentically distributed independent random elements |
scientific article |
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A limit theorem of symmetric statistics for nonidentically distributed independent random elements (English)
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1990
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The asymptotic distribution of symmetric statistics based on samples of independent but non-identically distributed random elements is described. It is shown that the asymptotic distribution of the symmetric statistics can be expressed in terms of multiple Poisson-Wiener-Itô integrals with respect to a Poisson random measure under certain conditions. Some examples are presented.
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nonidentically distributed independent random elements
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Poison approximation
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asymptotic distribution of symmetric statistics
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multiple Poisson-Wiener-Itô integrals
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Poisson random measure
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