Geodesic
Transitional phenomena of renewal theory in asymptotic problems of the theory of random processes. I
Sbornik. Mathematics, Tome 40 (1981) no. 1, pp. 107-123 
V. M. Shurenkov. Transitional phenomena of renewal theory in asymptotic problems of the theory of random processes. I. Sbornik. Mathematics, Tome 40 (1981) no. 1, pp. 107-123. http://geodesic.mathdoc.fr/item/SM_1981_40_1_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The limit behavior of distributions of additive functionals of regenerating processes with several types of regeneration points is studied on the basis of transitional phenomena of renewal theory. Bibliography: 11 titles.

[1] V. S. Korolyuk, V. N. Suprun, V. M. Shurenkov, “Metod potentsiala v granichnykh zadachakh dlya protsessov s nezavisimymi prirascheniyami i skachkami odnogo znaka”, Teoriya veroyatn., XXI:2 (1976), 253–259

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

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

[4] D. S. Silvestrov, “Teorema vosstanovleniya v skheme serii. I”, Teoriya veroyatnostei i matematicheskaya statistika, 18, izd-vo KGU, Kiev, 1978, 144–161 | MR

[5] V. M. Shurenkov, “Predelnoe raspredelenie momenta vykhoda i polozheniya v moment vykhoda iz shirokogo intervala dlya protsessov s nezavisimymi prirascheniyami i skachkami odnogo znaka”, Teoriya veroyatn., XXIII:2 (1978), 419–425 | MR | Zbl

[6] V. M. Shurenkov, “Zamechanie ob uravnenii mnogomernogo vosstanovleniya”, Teoriya veroyatn., XX:4 (1975), 848–851

[7] F. R. Gantmakher, Teoriya matrits, izd-vo “Nauka”, Moskva, 1967 | MR

[8] B. A. Rogozin, “Banakhovy algebry mer na pryamoi, svyazannye s asimptoticheskim povedeniem mer na beskonechnosti”, Sib. matem. zh., XVII (1976), 897–906 | MR

[9] B. A. Rogozin, “Asimptotika funktsii vosstanovleniya”, Teoriya veroyatn., XXI:4 (1976), 689–706 | MR

[10] B. A. Rogozin, M. S. Sgibiev, “Maksimalnye idealy banakhovykh algebr mer na pryamoi”, Matem. zametki, 24:3 (1978), 315–318 | MR | Zbl

[11] I. I. Ezhov, V. M. Shurenkov, “Ergodicheskie teoremy, svyazannye s markovskim svoistvom sluchainykh protsessov”, Teoriya veroyatn., XXI:3 (1976), 635–639