Probability Theory and Mathematical Statistics : : Proceedings of the Fifth Vilnius Conference, June 25–July 1, 1989. / Vol. 2 / / ed. by V. V. Sazonov, Yu. V. Prohorov, B. Grigelionis, V. Statulevičius.

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Superior document:Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2020]
©1990
Year of Publication:2020
Edition:Reprint 2020
Language:English
Series:Probability Theory and Mathematical Statistics ; Vol. 2
Online Access:
Physical Description:1 online resource (VI, 616 p.)
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Other title: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 --
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
Format:Mode of access: Internet via World Wide Web.
ISBN:9783112319024
9783110637199
DOI:10.1515/9783112319024
Access:restricted access
Hierarchical level:Monograph
Statement of Responsibility: ed. by V. V. Sazonov, Yu. V. Prohorov, B. Grigelionis, V. Statulevičius.