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Inhaltsverzeichnis
Frontmatter — CONTENTS — Preface — Bakuriani Colloquia on Probability Theory and Mathematical Statistics — I. LIMIT THEOREMS: FINITE – DIMENSIONAL CASE — On the Bounds for the Probabilities of Large Deviations for Random Variables and Vectors — The Influence of Extremes Summands on the Law of Iterated Logarithm — Generalized Marcinkiewicz’s Theorem and Asymptotic Expansions in the Central Limit Theorem — On Integrability of sup [Snk /nk] — Asymptotic Expansions in Large Deviation Zones for the Distribution Density of Sums of Independent Random Variables — Strong Law of Large Numbers for Operator Normalized Sums of Independent Random Vectors — II. LIMIT THEOREMS IN GENERAL SPACES — On the Distribution of the Sup-Norm for a Stable Motion and the Rate of Convergence — Semi-Invariant Conditions of Weak Convergence of Random Processes in the Space of Continuous Functions — Almost Sure Permutational Convergence of Vector Random Series and Kolmogorov’s Problem — Limit Theorems for Stable Laws in Banach Spaces — An Estimate of the Rate of Convergence in the CLT for Dependent Hilbert Space Valued Random Variables — An Improved Estimate of the Accuracy of Gaussian Approximation in Hilbert Space — On Laxge Deviations for L-Estimates — III. LIMIT THEOREMS FOR STOCHASTIC PROCESSES — Rates of Convergence in the Invariance Principle for Empirical Processes — Ergodic Theorem for Semimartingale-Helix — Ergodic Theorems for Discrete Time Random Processes — On Functional Principle of Large Deviations — IV. PROBABILITIES IN GENERAL SPACES — Some Properties of Gaussian Measures and Potentials in Martingale Spaces with Mixed Norm — Unexpected Limit Behaviour of the Gaussian Tail Probabilities — Topologies on the Space of a-Additive Cylindrical Probabilities — Two-Sided Exponential Inequalities for the Distribution of the Norm of Banach Space Valued Random Variables — Nonuniform Estimates of the Density of the Squared Norm of a Gaussian Vector in Hilbert Space — On Sequential Conditions for a Cylindrical Measure to be Countably Additive — A Family of Measures Admitting Consistent Estimates — V. STOCHASTIC ANALYSIS AND CONTROL — Asymptotic Behaviour of Solutions of Stochastic Equations — On the Decomposition of a Maximum of Semimartingales and Ito’s Generalized Formula — Optimal Transmission of Gaussian Signals Involving Cost for Transmission and Feedback — Stationary and Periodic Solutions of Stochastic Difference and Differential Equations in Banach Space — Controlled Random Fields on Graphs and Stochastic Models of Economic Equilibrium — Asymptotic Expansions for Singulary Perturbed Stochastic Differential Equations — On Uniformly Optimal Coding of Gaussian Messages in White Gaussian Channels with Feedback — On the Structure of a Random Graph with Nonuniform Distribution — Identities for Ladder Functionals of Homogeneous Random Processes and Walks with Independent Increments — On Convergence of Solutions of Stochastic Equations — Stochastic Integrals and Stochastic Differential Equations on the Plane Involving Strong Semimartingales — Itó-Ventsel‘ Formula For Anticipative Processes — Connectivity Property and Optimality Almost Surely and in Probability — Absolute Continuity of Smooth Measures Generated by Nonlinear Equations — VI. MATHEMATICAL STATISTICS — A New Method of Asymptotic Analysis of Simple Linear Rank Statistics — On Stable M-Estimators in the Partial Likelihood Scheme — Asymptotic Estimation of Integrals of Certain Random Fields — On Minimax Bound for Parameter Estimation in Ball (Bias Accounting) — Limit Theorems for Some Random Processes Based on Frequencies — From Asymptotic Efficiency in Minimax Sense to Bahadur Efficiency — On Estimating Parameters of a Distribution Concentrated in a Circle — On the Approximation of the Likelihood Function by a Vector Analogue of the Whittle Statistics — VII. TOWARDS NATURAL SCIENCES — On Condensable Point Processes — The Ground State ofDieses Ebook kaufen – und ein weitere GRATIS erhalten!
Sprache Englisch ● Format PDF ● Seiten 711 ● ISBN 9783112313626 ● Dateigröße 53.9 MB ● Herausgeber V. V. Sazonov & T. Shervashidze ● Verlag De Gruyter ● Ort Berlin/Boston ● Erscheinungsjahr 2020 ● Ausgabe 1 ● herunterladbar 24 Monate ● Währung EUR ● ID 7681407 ● Kopierschutz Adobe DRM
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