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- W2034632621 abstract "It is proved that a continuous single-dimensional Markov process $y(t)$ with wide restrictions can be obtained from the Wiener process $x(t)$ in the following form: $y(t) = Psi [x ( {tau _t } ),t]$, where $Psi (x,t)$ is a continuous function, monotonic in x for a given t, and $tau _t $ is a non-decreasing random function of t (Theorem 1). Conditions are given which should be met by the Markov process $x(t)$ in abstract space and the random function $tau _t $ so that the process $y(t) = x ( tau _t )$ will also be a Markov process (Theorem 2)." @default.
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- W2034632621 date "1961-01-01" @default.
- W2034632621 modified "2023-10-17" @default.
- W2034632621 title "Construction of Non-Homogeneous Markov Processes by Means of a Random Substitution of Time" @default.
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- W2034632621 doi "https://doi.org/10.1137/1106003" @default.
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