Probability Theory and Mathematical Statistics: Vol. 2 [Reprint 2020 ed.] 9783112319024, 9783112307892

Table of contents :
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
RÉNYI DISTANCES OF SOME DIFFUSION PROCESSES
ESTIMATES FOR THE SMOOTH FUNCTIONAL IN THE CLASSICAL CASE
ON LARGE DEVIATIONS IN AVERAGING PRINCIPLE FOR STOCHASTIC DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS. 1
ON LOGARITHMIC REFINING TERMS IN LIMIT THEOREMS TAKING INTO ACCOUNT LARGE DEVIATIONS OF SUMS OF INDEPENDENT RANDOM VARIABLES
ON STOCHASTIC CONVOLUTIONS MODELS
SOME PROPERTIES OF NON-HOMOGENEOUS TRANSIENT RENEWAL PROCESSES
SOME LARGE DEVIATION RESULTS FOR U—STATISTICS
OSIPOV'S THEOREM REVISITED
GIBBS MEASURES FOR THE CURIE—WEISS RANDOM FIELD ISING MODEL
ON THE APPROXIMATION OF CONVOLUTIONS BY INFINITELY DIVISIBLE DISTRIBUTIONS
BANACH SPACE OF MEASURES