Geodesic
Weak convergence of first-rare-event times for semi-Markov processes
Teoriâ slučajnyh processov, Tome 13 (2007) no. 4, pp. 29-63

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Necessary and sufficient conditions for weak convergence of first-rare-event times for semi-Markov processes with finite set of states in series of schemes are obtained.
Keywords: Weak convergence, semi-Markov processes, first-rare-event times, limit theorems, necessary and sufficient conditions. 
@article{THSP_2007_13_4_a2,
     author = {Myroslav Drozdenko},
     title = {Weak convergence of first-rare-event times for {semi-Markov} processes},
     journal = {Teori\^a slu\v{c}ajnyh processov},
     pages = {29--63},
     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/THSP_2007_13_4_a2/}
}
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Myroslav Drozdenko. Weak convergence of first-rare-event times for semi-Markov processes. Teoriâ slučajnyh processov, Tome 13 (2007) no. 4, pp. 29-63. http://geodesic.mathdoc.fr/item/THSP_2007_13_4_a2/