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The law of small numbers and the limit theorem for symmetric statistics with mixing conditions (Q2641023)

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The law of small numbers and the limit theorem for symmetric statistics with mixing conditions
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    The law of small numbers and the limit theorem for symmetric statistics with mixing conditions (English)
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    1990
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    The Poisson approximation for sequences of dependent p-dimensional Bernoulli arrays is established. The Poisson limit theorems, concerning the asymptotic distribution of symmetric statistics, have been extended to the dependent random elements case. All the results in the paper have been obtained under mixing conditions.
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    sequences of dependent Bernoulli arrays
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    Poisson approximation
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    Poisson limit theorems
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    asymptotic distribution of symmetric statistics
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    mixing conditions
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