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Theory of Probability and Its Applications

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Theory of Probability and Its Applications

Volume 45, Number 1

An English translation of the March 2000 issue of the Russian journal Teoriya Veroyatnostei i ee Primeneniya

CONTENTS

Articles

1 70th Birthday of Yurii Vasilievich Prokhorov

3 Integro-local Limit Theorems Including Large Deviations for Sums of Random Vectors. II

A. A. Borovkov and A. A. Mogulskii

23 Deviations from Typical Type Proportions in Critical Multitype Galton-Watson Processes

K. Fleischmann and V. A. Vatutin

41 Stopping Brownian Motion without Anticipation as Close as Possible to Its Ultimate Maximum

S. E. Graversen, G. Peskir, and A. N. Shiryaev

51 Limit Theorems for the Number of Solutions of a System of Random Equations V. A. Kopytsev

69 The (Asymptotic Behavior of the Pearson Statistic V. Mi. Kruglov

93 Approximation of Laws of Random Probabilities by Mixtures of Dirichlet Distributions with Applications to Nonparametric Bayesian Inference E. Fiegazzini and V. V. Sazonov

1 1 1 Testing Randomness: A Suite of Statistical Procedures A. L. Rukhin

Short Communications

133 An Inequality for a Multidimensional Characteristic Function N. G. Gamkrelidze

136 Asymptotic Properties of Extrema of Compound Cox Processes and Their Applications to Some Problems of Financial Mathematics

V. Yu. Korolev

147 Unconditional Convergence of Gaussian Random Series in Banach Spaces V. V. Kvaratskhelia

1 5 2 On Probability and Moment Inequalities for Dependent Random Variables S. V. Nagaev

160 On Polynomial Mixing for SDEs with a Gradient-Type Drift A. Yu. Veretennikov

1 6 4 A Random Walk with a Skip-Free Component and the Lagrange Inversion Formula 0. V. Viskov

1 7 3 News of Scientific Life

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