Property of “correct exit” and one limit theorem for semi-Markov processes

1983 ◽  
Vol 23 (3) ◽  
pp. 2352-2362 ◽  
Author(s):  
B. P. Kharlatmov
1974 ◽  
Vol 11 (03) ◽  
pp. 521-528
Author(s):  
Domokos Szász

A limit theorem is proved for semi-Markov processes, which depend on a small parameter, tending to 0, in the case when the processes have an absorbing state and some asymptotically non-essential states and one asymptotically essential state. The application of the theorem is illustrated by an example from reliability theory.


Cybernetics ◽  
1972 ◽  
Vol 5 (4) ◽  
pp. 524-526 ◽  
Author(s):  
V. S. Korolyuk ◽  
L. I. Polishchuk ◽  
A. A. Tomusyak

1974 ◽  
Vol 11 (3) ◽  
pp. 521-528 ◽  
Author(s):  
Domokos Szász

A limit theorem is proved for semi-Markov processes, which depend on a small parameter, tending to 0, in the case when the processes have an absorbing state and some asymptotically non-essential states and one asymptotically essential state. The application of the theorem is illustrated by an example from reliability theory.


2008 ◽  
Vol 101 (14) ◽  
Author(s):  
Heinz-Peter Breuer ◽  
Bassano Vacchini

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