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全新正版大样本理论基础(英文版)9787519220778世界图书出版公司
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新春将至,本公司假期时间为:2025年1月23日至2025年2月7日。2月8日订单陆续发货,期间带来不便,敬请谅解!
Preface
1 Mathematical Background
1.1 The concept of limit
1.2 Embedding sequences
1.3 Infinite series
1.4 Order relations and rates of convergence
1.5 Continuity
1.6 Distributions
1.7 Problems
2 Convergence in Probability and in Law
2.1 Convergence in probability
2.2 Applications
. Convergence in law
2.4 The central limit theorem
2.5 Taylor's theorem and the delta method
2.6 Uniform convergence
2.7 The CLT for independent non—identical random variables
2.8 Central limit theorem for dependent variables
2.9 Problems
3 Performance of Statistical Tests
3.1 Critical values
3.2 Comparing two treatments
3.3 Power and sample size
3.4 Comparison of tests: Relative efficiency
3.5 Robustness
3.6 Problems
4 Estimation
4.1 Confidence intervals
4.2 Accuracy of point estimators
4.3 Comparing estimators
4.4 Sampling from a finite population
4.5 Problems
5 Multivariate Extensions
5.1 Convergence of multivariate distributions.
5.2 The bivariate normal distribution
5.3 Some linear algebra
5.4 The multivariate normal distribution
5.5 Some applications
5.6 Estimation and testing in 2 × 2 tables
5.7 Testing goodness of fit
5.8 Problems
6 Nonparametric Estimation
6.1 U—Statistics
6.2 Statistical functionals
6.3 Limit distributions of statistical functionais
6.4 Density estimation
6.5 Bootstrapping
6.6 Problems
7 Efficient Estimators and Tests
7.1 Maximum likelihood
7.2 Fisher information
7.3 Asymptotic normality an mtple roots
7.4 Efficiency
7.5 The multiparameter case Ⅰ.Asymptotic norrnality
7.6 The multiparameter case Ⅱ.Efficiency
7.7 Tessndcnfidence intervals
7.8 Contingency tables
7.9 Problems
Appendix
References
Author Index
Subject Index
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