Abstract
A method of estimation of time-uniform continuity of random sequences is considered that makes it possible to interpret previous methods from a single point of view.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
A. A. Borovkov, “Theorems of ergodicity and stability for a class of stochastic equations and their applications,” Teor. Veroyatn. Primen.,23, No. 2, 241–262 (1978).
V. M. Zolotarev, “On the continuity of stochastic sequences generated by recursive procedures, ” Teor. Veroyatn. Primen.,20, No. 4, 834–847 (1975).
I. Akhmarov, “On the convergence rate in theorems of ergodicity and continuity for multiserver queuing systems,” Teor. Veroyatn. Primen.,24, No. 2, 418–424 (1979).
G. Sh. Tsitsiashvili, “Piecewise-linear Markov chains and their stability analysis,” Teor. Veroyatn. Primen.,20, No. 2, 345–358 (1975).
V. V. Kalashnikov, “Qualitative Analysis of the Performance of Complex Systems by the Method of Trial Functions [in Russian], Nauka, Moscow (1978).
V. M. Zolotarev, “Metric distances in spaces of random variables and their distributions,” Mat. Sb.,101 (sn143), No. 3, 416–454 (1976).
V. A. Zhilin and V. V. Kalashnikov, “Estimates of stability of renewal processes and their use in priority queuing systems,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 4, 94–101 (1979).
V. V. Kalashnikov, “Estimates of stability of renewal processes,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 5, 85–89 (1979).
S. A. Anichkin and V. V. Kalashnikov, “Approximation of Markov chains,” this issue, pp. 4–12.
Additional information
Translated from Problemy Ustroichivosti Stokhasticheskikh Modelei — Trudy Seminara, pp. 52–57, 1980.
Rights and permissions
About this article
Cite this article
Kalashnikov, V.V. Study of continuity of random sequences by constructing proximity points. J Math Sci 32, 42–46 (1986). https://doi.org/10.1007/BF01084497
Issue Date:
DOI: https://doi.org/10.1007/BF01084497