Probability Theory and Mathematical Statistics. Vol. 2

Frontmatter -- CONTENTS -- WEAK CONVERGENCE OF SEMI-MARKOV RANDOM EVOLUTIONS (MARTINGALE APPROACH) -- CONVERGENCE OF MOMENTS OF RANDOMLY INDEXED RANDOM SEQUENCES -- ON THE RATE OF CONVERGENCE OF THE DISTRIBUTIONS OF SEMIMARTINGALES TO THE DISTRIBUTION OF STABLE PROCESS -- ANTICIPATING STOCHASTIC DIFFERENTIAL EQUATIONS -- SECOND ORDER MINIMAX ESTIMATION: THE NUISANCE PARAMETERS AND HYPOELLIPTIC OPERATORS -- LIMIT THEOREMS FOR THE RIEMANN ZETA-FUNCTION IN THE COMPLEX SPACE -- STOCHASTIC INTEGRALS WITH RESPECT TO SEMIMARTINGALE MEASURES AND CHANGE OF THE FILTRATION -- LIMIT DISTRIBUTIONS OF MEASURES OF SOJOURNS OF VECTOR GAUSSIAN FIELDS WITH STRONG DEPENDENCE -- LIMIT THEOREMS FOR ONE-DIMENSIONAL RANDOM WALKS IN RANDOM ENVIRONMENTS -- ON THE NORM DISTRIBUTION OF GAUSSIAN AND OTHER STABLE VECTORS -- ON SET CONVOLUTIONS AND INTEGRAL-SUM KERNEL OPERATORS -- LARGE DEVIATION FOR MARTINGALES WITH INDEPENDENT AND HOMOGENEOUS INCREMENTS -- LAWS OF THE ITERATED LOGARITHM FOR I.I.D. CASE -- DISTRIBUTION OF VALUES OF ADDITIVE ARITHMETIC FUNCTIONS -- STATISTICAL INFERENCES FOR SEMIMARTINGALE REGRESSION MODELS -- ON THE MARTINGALE PROBLEM ASSOCIATED WITH INTEGRO-DIFFERENTIAL OPERATORS -- PREFERRED DIRECTIONS ON THE HYPERSPHERE -- TWO-PARAMETER STRONG MARTINGALES: INEQUALITIES FOR QUADRATIC VARIATION AND SOME DECOMPOSITIONS -- EXACT RESOLUTION THRESHOLDS FOR CLOSE FREQUENCIES -- ASYMPTOTIC PROPERTIES OF TWO STATISTICAL DECISION RULES BASED ON VALUES OF STUDENTIZED RANGE -- ON A NEW APPROACH TO THE STUDY OF THE DISTRIBUTION OF A NORM OF A RANDOM ELEMENT IN HILBERT SPACE -- RECORDS FOR NONIDENTICALLY DISTRIBUTED RANDOM VARIABLES -- LOCAL CHERNOFF EFFICIENCY OF LINEAR RANK TESTS -- EXTENDED VECTOR STOCHASTIC INTEGRAL IN SOBOLEV SPACES OF WIENER FUNCTIONALS -- WEIGHTED MULTIVARIATE EMPIRICAL PROCESSES AS RANDOM MEASURES -- REMARKS ON THE RANDOM MULTIPLICATIVE ERGODIC THEOREM -- PROBABILITY DISTRIBUTIONS AND BOREL MEASURES UNIQUELY DETERMINED BY THEIR RESTRICTIONS TO A HALF-SPACE -- DISCRETE TIME QUANTUM STOCHASTIC FLOWS, MARKOV CHAINS AND CHAOS EXPANSIONS -- THE ZERO-LEVEL SET OF THE BROWNIAN BRIDGE AS A MODEL OF DISORDERED PHYSICAL SYSTEMS -- SOME INEQUALITIES FOR MOMENTS OF SUMS OF INDEPENDENT RANDOM VARIABLES -- SOME MINIMAX ESTIMATION PROBLEMS -- LARGE DEVIATIONS OF TRAJECTORIES IN THE CENTRAL LIMIT THEOREM FOR RANDOM PROCESSES: SOME NEW RESULTS -- HOMOGENIZATION AND VANISHING VISCOSITY -- SOME REMARKS ON ASYMPTOTIC EFFICIENCY IN BAHADUR SENSE OF MAXIMUM LIKELIHOOD ESTIMATOR -- ON DISTRIBUTION OF SUPREMUM TYPE FUNCTIONALS OF NONPARAMETRIC ESTIMATES FOR SPECTRAL DENSITY -- A CENTRAL LIMIT THEOREM FOR QUADRATIC FORMS IN INDEPENDENT RANDOM VARIABLES -- SUBORDINATION DEPENDING ON A PARAMETER -- GENERAL LEMMAS ON THE DISTRIBUTION DENSITY FOR LARGE DEVIATIONS OF A RANDOM VECTOR -- SPEED OF CONVERGENCE IN THE CENTRAL LIMIT THEOREM IN HILBERT SPACE UNDER WEAKENED MOMENT CONDITIONS -- STATISTICAL FUNCTIONALS, .STOPPING TIMES AND ASYMPTOTIC MINIMUM RISK PROPERTY -- THE CENTRAL LIMIT THEOREM FOR FINITELY DEPENDENT RANDOM VARIABLES -- ON HARMONIC FUNCTIONS OF RANDOM WALKS ON GROUPS -- EXPONENTS OF OPERATOR STABLE DISTRIBUTIONS IN BANACH SPACES -- INFINITE DIMENSIONAL DISTRIBUTIONS AND SECOND QUANTIZATION IN STRING THEORIES -- DIFFERENTIAL CALCULUS ON THE CONFIGURATION SPACE: SURFACES, SURFACE MEASURES, GAUSS-OSTROGRADSKII FORMULA -- THE LOCAL THEOREMS FOR ADDITIVE ARITHMETIC FUNCTIONS -- QUADRATIC FORMS WITH LONG-RANGE DEPENDENCE -- BACKWARD LIMITS AND INHOMOGENEOUS REGENERATION -- ON THE NORMAL APPROXIMATION OF SUMS OF WEAKLY DEPENDENT HILBERT-VALUED RANDOM VARIABLES -- ON DISTRIBUTION OF ADDITIVE ARITHMETICAL FUNCTIONS ON THE SET OF SHIFTED PRIMES -- A NEW LOOK ON SEMIMARTINGALE DISTRIBUTIONS WITH SEVERAL EXAMPLES -- CENTRAL LIMIT THEOREM FOR DEPENDENT RANDOM VARIABLES -- RENYI DISTANCES OF SOME DIFFUSION PROCESSES -- ESTIMATES FOR THE SMOOTH FUNCTIONAL IN THE CLASSICAL CASE -- ON LARGE DEVIATIONS IN AVERAGING PRINCIPLE FOR STOCHASTIC DIFFERENTIAL EQ