Four Markov renewal type theorems in the scheme of series are proved.
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V. M. Shurenkov, Ergodic Markov Processes [in Russian], Nauka, Moscow (1989).
T. Kato, Theory of Perturbations of Linear Operators [Russian translation], Mir, Moscow (1972).
S. G. Krein (ed.), Functional Analysis [in Russian], Nauka, Moscow (1972).
N. V. Kartashov, “Inequalities in orgodicity and stability theorems for Markov chains with general phase space. I,” Teor. Veroyatn. Primen.,30, No. 2, 230–240 (1985).
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 11, pp. 1443–1448, November, 1990.
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Alimov, D., Shurenkov, V.M. Markov renewal theorems in a scheme of series. Ukr Math J 42, 1283–1288 (1990). https://doi.org/10.1007/BF01066181
- Type Theorem
- Renewal Theorem
- Renewal Type
- Markov Renewal Theorem