概率统计高级教程II：统计学基础

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作　者：	（美）源亨，（美）王通惠编著
出版社：	清华大学出版社
丛编项：
标　签：	概率论与数理统计

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ISBN：	9787302195016	出版时间：	2009-04-01	包装：	平装
开本：	16开	页数：	416	字数：

内容简介

　　· This is an update Text book for beginning graduate students in Mathematics， Probability and Statistics， Engineering， Computer Sciences， Mathematical Economics· It distinguishes from all existing texts on the subject from its pedagogical spirit， namely， motivations before mathematics; mathematics tools are only introduced when needed and motivated· All theoretical results are proved in a friendly fashion· Teaching the students， not only the concepts and possible applications， but also guiding the students with proof techniques· This series will help students to learn with full understanding and appreciation of the subject· It will provide interested students with solid background for research

作者简介

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图书目录

Preface
1 An Invitation to Statistics
　1.1 A Motivating Example
　1.2 Generalities on Survey Sampling
　1.3 Statistical Data
　1.4 Statistical Models
　1.5 Some Computational Statistics
　1.6 Exercises
2　Sampling Distributions
　2.1 Sampling from a Bernoulli Population
　2.2 Sampling from a Normal Population
　2.3 Sampling from an Exponential Population
　2.4 Order StatisticS
　2.5 Distributions of Quadratic Forms
　2.6 Exercises
3 Data Reduction
　3.1 Sufficient Statistics
　3.2 Complete Statistics
　3.3 Exponential and Location-scale Families
　3.4 Exercises
4 Estimation
　4.1 Point Estimation
　4.2 The Best Unbiased Estimation
　4.3 Fisher Information and Efficiency
　4.4 Two Methods of Finding Estimators
　4.5 Confidence Sets
　4.6 Bayes Estimation
　4.7 Exercises
5 Large Sample Estimation
　5.1 Consistency
　5.2 Asymptotic Normality
　5.3 Asymptotic Normality of Maximum Likelihood Estimators
　5.4 Asymptotic Efficiency
　5.5 Large Sample Interval Estimation
　5.6 Robust Estimation
　5.7 Exercises
6 Tests of Statistical Hypotheses
7 Nonparametric Statistical Inference
A Common Distributions
B Some Common Statistical Tables
Bibliography
Index