Geodesic
Transitional phenomena of renewal theory in asymptotic problems of the theory of random processes. II
Sbornik. Mathematics, Tome 40 (1981) no. 2, pp. 211-225 
V. M. Shurenkov. Transitional phenomena of renewal theory in asymptotic problems of the theory of random processes. II. Sbornik. Mathematics, Tome 40 (1981) no. 2, pp. 211-225. http://geodesic.mathdoc.fr/item/SM_1981_40_2_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Transitional phenomena in branching processes and limit distributions of boundary functional for random walks on a finite Markov chain are studied on the basis of transitional phenomena in renewal theory. Bibliography: 5 titles.

[1] B. A. Sevastyanov, Vetvyaschiesya protsessy, izd-vo “Nauka”, Moskva, 1971 | MR

[2] V. M. Shurenkov, “Dve predelnye teoremy dlya kriticheskikh vetvyaschikhsya protsessov”, Teoriya veroyatn., XXI:3 (1976), 548–558

[3] I. I. Ezhov, A. V. Skorokhod, “Markovskie protsessy, odnorodnye po vtoroi komponente. II”, Teoriya veroyatn., XIV:4 (1969), 679–692

[4] V. S. Korolyuk, V. M. Shurenkov, “Metod potentsiala v granichnykh zadachakh dlya sluchainykh bluzhdanii na tsepi Markova”, Ukr. matem. zh., 29 (1977), 464–471 | Zbl

[5] H. Miller, “A convexity property in the theory of random variables defined on a finite Markov chain”, Ann. Math. Statist., 32 (1961), 1260–1270 | DOI | MR | Zbl