数理统计(第2版)(英文版)(Mathematical Statistics(Second Edition)) 9787510005343

《数理统计(第2版)(英文版)》内容简介：Probability Theory、Probability Spaces and Random Elements、σ－fields and measures、Measurable functions and distributions、Integration and Differentiation、Integration、Radon.Nikodym derivative、Distributions and Their Characteristics、Distributions and probability densities、Moments and moment inequalities、Moment generating and characteristic functions、onditional Expectations、Conditional expectations、Independence、Conditional distributions、Markov chains and martingales、Asymptotic Theory、Convergence modes and stochastic orders等等。 《数理统计(第2版)(英文版)》由世界图书出版公司出版。 作者：(美国)邵(Jun Shao) Preface to the First Edition Preface to the Second Edition Chapter 1.Probability Theory 1.1 Probability Spaces and Random Elements 1.1.1σ－fields and measures 1.1.2 Measurable functions and distributions 1.2 Integration and Differentiation 1.2.1 Integration 1.2.2 Radon.Nikodym derivative 1.3 Distributions and Their Characteristics 1.3.1 Distributions and probability densities 1.3.2 Moments and moment inequalities 1.3.3 Moment generating and characteristic functions 1.4 Conditional Expectations 1.4.1 Conditional expectations 1.4.2 Independence 1.4.3 Conditional distributions 1.4.4 Markov chains and martingales 1.5 Asymptotic Theory 1.5.1 Convergence modes and stochastic orders 1.5.2 Weak convergence 1.5.3 Convergence of transformations 1.5.4 The law of large numbers 1.5.5 The central limit theorem 1.5.6 Edgeworth and Cornish-Fisher expansions 1.6 Exercises Chapter 2. Fundamentals of Statistics 2.1 Populations，Samples，and Models 2.1.1 Populations and samples 2.1.2 Parametric and nonparametric models 2.1.3 Exponential and location.scale families 2.2 Statistics.Sufficiency,and Completeness 2.2.1 Statistics and their distributions 2.2.2 Sufficiency and minimal sufficiency 2.2.3 Complete statistics 2.3 Statistical Decision Theory 2.3.1 Decision rules，lOSS functions，and risks 2.3.2 Admissibility and optimality 2.4 Statistical Inference 2.4.1 P0il）t estimators 2.4.2 Hypothesis tests 2.4.3 Confidence sets 2.5 Asymptotic Criteria and Inference 2.5.1 Consistency 2.5.2 Asymptotic bias，

ISBN	9787510005343
出版社	世界图书出版公司
尺寸	24