On the distribution of duration of stay in an interval of the semi-continuous process with independent increments

Verfasser / Beitragende:
[V. F. Kadankov, T. V. Kadankova]
Ort, Verlag, Jahr:
2004
Enthalten in:
Random Operators and Stochastic Equations, 12/4(2004-12-01), 361-384
Format:
Artikel (online)
ID: 378920812
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245 0 0 |a On the distribution of duration of stay in an interval of the semi-continuous process with independent increments  |h [Elektronische Daten]  |c [V. F. Kadankov, T. V. Kadankova] 
520 3 |a For a semicontinuous homogeneous process ξ(t) with independent increments the distribution of the its total duration of stay in an interval is obtained. In the case E ξ(1) = 0, E ξ(1)2 < ∞, the limit theorem on a weak convergence of the time of duration of stay in an interval of the process to distribution of the time of duration of stay of Wiener process in the interval(0, 1) is obtained. For Wiener process the distribution of the total duration of stay in an interval is found. 
540 |a Copyright 2003, Walter de Gruyter 
700 1 |a Kadankov  |D V. F.  |u 1. Institute of Mathematics, Kiev, Ukraine  |4 aut 
700 1 |a Kadankova  |D T. V.  |u 2. Kiev State University, Department of Mathematics and Mechanics, Kiev, Ukraine  |4 aut 
773 0 |t Random Operators and Stochastic Equations  |d Walter de Gruyter  |g 12/4(2004-12-01), 361-384  |x 0926-6364  |q 12:4<361  |1 2004  |2 12  |o rose 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Kadankova  |D T. V.  |u 2. Kiev State University, Department of Mathematics and Mechanics, Kiev, Ukraine  |4 aut 
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