B. Grigelionis & Yu. V. Prohorov 
Probability Theory and Mathematical Statistics. Vol. 2 [PDF ebook] 

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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 EQ
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Bahasa Inggris ● Format PDF ● Halaman 622 ● ISBN 9783112319024 ● Ukuran file 49.6 MB ● Editor B. Grigelionis & Yu. V. Prohorov ● Penerbit De Gruyter ● Kota Berlin/Boston ● Diterbitkan 2020 ● Edisi 1 ● Diunduh 24 bulan ● Mata uang EUR ● ID 7448622 ● Perlindungan salinan Adobe DRM
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