Literature cited
V. F. Kolchin, B. A. Sevast'yanov, and V. P. Chistyakov, Random Allocations [in Russian], Nauka, Moscow (1976).
P. F. Belyaev, “On the probability of the nonappearance of a specified number of outcomes,” Teor. Veroyatn. Ee Primen.,9, No. 3, 541–547 (1965).
P. F. Belyaev, “On the probability of nonappearance of a specified number of s-chains in complex Markov chains,” Teor. Veroyatn. Ee Primen.,10, No. 3, 547–551 (1966).
P. F. Belyaev, “On the joint distribution of the frequencies of outcomes in Markov chains with a large number of events,” Teor. Veroyatn. Ee Primen.,22, No. 3, 534–545 (1977).
V. F. Kolchin and V. P. Chistyakov, “New limit distributions in the allocation problem,” Tr. Moskovsk. Inst. Elektron. Mashinostr.,32, 65–72 (1973).
Yu. V. Prokhorov, “Convergence of random processes and limit theorems in probability theory,” Teor. Veroyatn. Ee Primen.,1, No. 2, 177–238 (1956).
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Translated from Matematicheskie Zametki, Vol. 25, No. 3, pp. 465–474, March, 1979.
The author thanks B. A. Sevast'yanov for useful discussions on the results.
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Zubkov, A.M. Markov chains close to a sequence of independent trials. Mathematical Notes of the Academy of Sciences of the USSR 25, 243–248 (1979). https://doi.org/10.1007/BF01159520
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DOI: https://doi.org/10.1007/BF01159520