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- W2275361878 abstract "Synopsis The distribution of x n , the number of occurrences of a given one of k possible states of a non-homogeneous Markov chain { P j } in n successive trials, is considered. It is shown that if P n → P , a positive-regular stochastic matrix, as n → ∞ then the distribution about its mean of x n / n ½ tends to normality, and that the variance tends to that of the corresponding distribution associated with the homogeneous chain { P }." @default.
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- W2275361878 date "1959-01-01" @default.
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- W2275361878 title "VIII.—The Central Limit Theorem for a Convergent Non-homogeneous Finite Markov Chain" @default.
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- W2275361878 doi "https://doi.org/10.1017/s0080454100032234" @default.
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