On the creative contribution of V. S. Korolyuk to the development of probability theory (Q2722134)
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scientific article; zbMATH DE number 1617378
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the creative contribution of V. S. Korolyuk to the development of probability theory |
scientific article; zbMATH DE number 1617378 |
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11 July 2001
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Poisson processes
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random walks
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asymptotical analysis
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potential method
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boundary problems
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processes with independent increments
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renewal processes
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semi-Markov processes
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phase averaging and merging
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random evolutions
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diffusion approximation
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On the creative contribution of V. S. Korolyuk to the development of probability theory (English)
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This paper is devoted to the creative contribution of V. S. Korolyuk in the development of the theory of probability and mathematical statistics in connection with his 75th birthday. This paper does not deal with the results of Korolyuk in the problems of cybernetics and in the applied aspects of his activity. The paper contains five sections: Asymptotical analysis in the boundary problems for random walks and Poisson processes; Potential method in the boundary problems for processes with independent increments and random walks; Boundary problems for semi-Markov walks on the superposition of two renewal processes; Asymptotical problems for semi-Markov processes and foundations of phase merging; Theory of random evolutions and their applications.
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