## Advances in probability theory: limit theorems & related problems |

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### Contents

ON THE ASYMPTOTICS OF DISTRIBUTIONS | 29 |

LARGE DEVIATIONS OF THE WIENER PROCESS | 41 |

THE RATE OF CONVERGENCE IN BOUNDARY VALUE | 86 |

Copyright | |

12 other sections not shown

### Common terms and phrases

a-algebra A.A. Borovkov A.V. Skorokhod absolutely continuous arbitrary assertion asymptotic asymptotically optimal Banach space boundary closure coefficients consider constant continuous measure COROLLARY defined denote density domain equality equation estimate exists finite follows formulate Gaussian Hence identically distributed implies increasing directed system inductive limit inequality integral interval Invariance Principle Large Deviations Lemma 9 Limit Theorems Markov processes martingale Math matrix Novosibirsk State University number of customers obtain probability space Probability Theory problem Proof of Lemma proof of Theorem properties Proposition prove Lemma queue Random Processes random vectors random walk Rate of Convergence relation S.V. Nagaev satisfies the condition Section sequence sequential solution space C,T stochastic subalgebra sufficiently summand Sums of Independent switching function T,l)-periodic Theory Prob tion topological Boolean algebra topology trajectories uniformly values Wiener process zero