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Rosenblatt-Roth, M.

Some theorems concerning the law of large numbers for non-homogeneous Markoff chains. (English) Zbl 0132.38603

Z. Wahrscheinlichkeitstheor. Verw. Geb. 1, 433-445 (1963).
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Keywords:

probability theory
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[1] Rosenblatt-Roth, M., The entropy of stochastic processes, Doklady Akad. Nauk SSSR, n. Ser., 112, 16-19 (1957) · Zbl 0081.35403
[2] Rosenblatt-Roth, M., The theory of transmission of information through stochastic channels, Doklady Akad. Nauk SSSR, n. Ser., 112, 202-205 (1957) · Zbl 0081.35404
[3] Rosenblatt-Roth, M., On the law of large numbers for non-homogeneous Markoff chains, Doklady Akad. Nauk SSSR, n. Ser., 134, 278-281 (1960)
[4] Rosenblatt-Roth, M., On the law of large numbers and on the strong law of large numbers for non-homogeneous Markoff chains, Doklady Akad. Nauk SSSR, n. Ser., 147, 1294-1295 (1962)
[5] - Sur la dispersion des sommes de variables aléatoires enchaÎnées. C. r. Acad. Sci., Paris (in print). · Zbl 0156.18505
[6] - On some problems of random variables connected in a Markoff chain. Transactions Third Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (in print).
[7] Dynkin, E. B., On some limit theorems for Markoff chains, Ukrain. mat. Žurn., 6, 21-27 (1954) · Zbl 0056.36103
[8] Dobrushin, R. L., The central limit theorem for non-homogeneous Markoff chains, Teor. Verojatn. Primen, 1, 72-89 (1956) · Zbl 0093.15001
[9] Khintchine, A., Sur la loi des grands nombres, C. r Acad. Sci., Paris, 188, 477-479 (1929) · JFM 55.0297.02
[10] Markoff, A. A.: The law of large numbers for dependent random variables. “Selected works”, Publishing house of the Academy of Sciences of the USSR, 1951, pp. 339-361.
[11] Sapogoff, A.: On the paper: “The law of large numbers for dependent random variables”. In the book: A. A. Markoff, “Selected works”. Publishing house of the Academy of Sciences of the USSR, 1951, pp. 660-662.
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