On a class of non-Markovian collision processes and their evolution equation (Q1073465)

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scientific article; zbMATH DE number 3945016
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On a class of non-Markovian collision processes and their evolution equation
scientific article; zbMATH DE number 3945016

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    On a class of non-Markovian collision processes and their evolution equation (English)
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    1985
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    A class of stochastic processes which generalizes some classes of non- Markovian processes, such as the semi-Markov processes, is studied. Under suitable conditions, their conditional transition probabilities satisfy integro-differential equations which generalize the backward Chapman- Kolmogoroff equations.
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    semi-Markov processes
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    conditional transition probabilities
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    Chapman- Kolmogoroff equations
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