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
出版时间： 2009-4-1字数：版次： 1页数： 416印刷时间：开本： 16开印次：纸张：I S B N ： 9787302195016包装： 平装内容简介
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
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
2Sampling 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