The coupling formation and complete convergence for a strongly mixing random variables sequence (Q2749028)
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scientific article; zbMATH DE number 1663633
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The coupling formation and complete convergence for a strongly mixing random variables sequence |
scientific article; zbMATH DE number 1663633 |
Statements
28 August 2002
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coupling formation
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strongly mixing sequence
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partial sums
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moment inequality
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complete convergence
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The coupling formation and complete convergence for a strongly mixing random variables sequence (English)
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In probability theory, it is important to estimate the tail probabilities of maximal sums for the sequences of random variables. When the sequence is strongly mixing, then this estimation is usually very difficult. A useful method of coupling formation is introduced, which gives an approach to accurately estimate this tail probabilities. As an application, some perfect results of complete convergence for strongly mixing random variables are given.
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