Titlebook: Probability; A. N. Shiryayev Textbook 19841st edition Springer Science+Business Media New York 1984 Law of large numbers.Markov chain.Mart

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Convergence of Probability Measures. Central Limit Theorem,Many important results of probability theory are formulated as limit theorems. So, indeed, were James Bernoulli’s law of large numbers, as well as the De Moivre-Laplace limit theorem, the theorems with which the true theory of probability began.

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Stationary (Strict Sense) Random Sequences and Ergodic Theory,. Let (.,.?, .) be a probability space and ξ = (ξ., ξ.,…) a sequence of random variables or, as we say, a .. Let θ.ξ denote the sequence(ξ., ξ., …).

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