## The Annals of Probability, Volume 4, Issues 4-6Institute of Mathematical Statistics, 1976 - Probabilities |

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1970 subject classifications AMS 1970 subject applications assume asymptotic Banach space Borel bounded central limit theorem compact conaturelle const constant continuous convergence Corollary countable covariance function define Démonstration denote Department of Mathematics Department of Statistics distribution function ensemble equivalent ergodic exists Feller finite follows fonction excessive fonctionnelle additive gauche Gaussian processes genes given Hence Hilbert space holds implies inequality infinite integral invariant iterated logarithm Kolmogorov l'ensemble large numbers law of large Lemma lim sup lim,_ linear Markov chain Markov processes martingale Math Mathematical Statistics matrix obtain paper point process polaire positive potentiel prévisible probability measure probability theory problem proof of Theorem Proposition prove r-quick Radon measure random walk recurrent renewal theorem result sample satisfies Section sequence stationary processes stochastic processes subadditive subset Suppose Théorème uniformly University variance vector Wiener process zero