The Annals of Probability, Volume 4Institute of Mathematical Statistics, 1976 - Electronic journals |
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1970 subject classifications a₁ AMS 1970 subject assume asymptotic B₁ Banach space Borel bounded central limit theorem compact conaturelle continuous convergence Corollary countable covariance function defined denote DEPARTMENT OF MATHEMATICS DEPARTMENT OF STATISTICS distribution function ensemble ergodic exists finite follows fonctionnelle additive Gaussian processes genes given Hence Hilbert space holds implies inequality infinite integral iterated logarithm Kolmogorov large numbers Lemma lim sup M₁ Markov chain Markov processes martingale Math Mathematical Statistics n₁ obtain P₁ paper point process potentiel probability measure probability theory problem proof of Theorem Proposition prove r-quick Radon measure random variables random walk recurrent renewal theorem result S₁ satisfies Section sequence stationary processes stochastic processes subadditive subset Suppose T₁ Théorème uniformly UNIVERSITY vector Wiener process X₁ Y₁ Z₁ zero