The central limit theorem for certain functionals of random walks (Q921707)
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scientific article; zbMATH DE number 4166181
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The central limit theorem for certain functionals of random walks |
scientific article; zbMATH DE number 4166181 |
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The central limit theorem for certain functionals of random walks (English)
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1986
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For the proofs of limit theorems for functionals of random walks, whose steps have different distribution functions, we have applied limit theorems for sums of martingale-differences. This has allowed us to simplify significantly the proof and to relax the assumptions of previously known statements [cf. \textit{A. V. Skorokhod} and \textit{N. P. Slobodenyuk}, Limit theorems for random walks (1970; Zbl 0272.60051), p. 227-228].
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central limit theorems
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limit theorems for sums of martingale-differences
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