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再议统计生统经典书目
发现本科的统计即使学完了也非常粗浅，更何况没有好好学。下决心好好看一些大师之作。
Probability & Measure:
Probability Theory: Theory and Examples, 3rd edition, Richard Durrett 国内有第 2 版影印本
Probability and Measure, Patrick Billingsley
Convergence of Probability Measures, Patrick Billingsley
A Course in Probability Theory Revised, Kai Lai Chung
Mathematical Statitsics:
Introduction to Mathematical Statistics, Hogg & Craig (高教社出了第 5 版影印本)
Mathematical Statistics, Jun Shao
Mathematical Statistics, Peter J. Bickle
作为数理统计学的课本不错。茆诗松、王静龙的《高等数理统计》是国内用得很多的课本。
Inference:
Statistical Inference, Casella & Berger 是国外读统计基本必修的的一本书，国内有影印本。
All of Statistics: A Concise Course in Statistical Inference, Larry Wasserman 是一本涵盖面很广
的速成式的 lecture notes 样式的书，偏 nonparametric。Theory of Statistics, Schervish 偏
Bayesian 和 decision theory。此外还有: Testing Statistical Hypotheses, Lehmann & Romano,
Theory of Point Estimation, Lehmann & Casella。更多的 advanced topics 举不胜举。
Asymptotics & large sample theory:
A Course in Large Sample Theory, Ferguson 是很好的教本，
Asymptotic Statistics, A. W. van der Vaart
Elements of Large Sample Theory, Lehmann
Approximation Theorems of Mathematical Statistics, Serfling
Linear Models & Regression:
Applied Linear Statistical Models, Kutner et al 或者 Introduction to Linear Regression Analysis,
3ed. Montgomery, Peck, Vining 可以作为入门的 Regression 的教本。
C. R. Rao 的 Linear Statistical Inference and Its Application 很值得看一看。Linear Regression
Analysis, Seber & Lee 写得也不错。国内写得很不错的教本是王松桂写的《线性模型引论》，
科学出版社，但是稍有一些错误。
Generalized Linear Models 数 McCullagh & Nelder 最经典，入门可以用 An Introduction to
Generalized Linear Models, 3ed, Dobson & Barnett。
Generalized Linear Models: A Bayesian Perspective, Dey, Ghosh, Mallick
Categorical Data Analysis, Agresti 是 Categorical 的经典。SAS 和 R 做 Categorical 的手册都有
出版，对于应用统计的 research 来说 Categorical 是很基本的。
Generalized, Linear, and Mixed Models, McCulloch & Seale
Linear Mixed Models for Longitudinal Data, Verbeke & Molenberghs
Semiparametric Regression, Ruppert, Wand, Carroll 里面把 nonpar & semipar 和 mixed model 统
一起来
SAS for Mixed Models, 2ed 和 Mixed Effects Models in S and S-Plus, Pinheiro & Bates 实现
An Introduction to Multivariate Statistical Analysis, T.W. Anderson
Aspects of Multivariate Statistical Theory, Muirhead
Applied Multivariate Statistical Analysis, 6ed, Johnson and Wichern 国内有第 6 版影印本
Bayesian Data Aanlysis, Gelman, Carlin, Stern, Rubin
Bayesian Methods for Data Analysis, 3rd edition, Carlin & Louis
Statistical Decision Theory and Bayesian Analysis, James O. Berger
Theory of Statistics, Schervish
The Bayesian Choice, Christian P. Robert
Bayesian Theory, Bernardo & Smith
Generalized Linear Models: A Bayesian Perspective, Dey, Ghosh, Mallick
MCMC 比较好的书有
Markov Chain Monte Carlo in Practice, Gilks & Richardson & Spiegelhalter
Monte Carlo Strategies in Scientific Computing, Jun S. Liu
Monte Carlo Statistical Methods, Robert & Casella
Nonparametric & Semiparametric:
Semiparametric Regression, Ruppert, Wand, Carroll
Applied Nonparametric Regressions, Wolfgang Härdle
Nonparametric and Semiparametric Models, Wolfgang Härdle et al
Efficient and Adaptive Estimation for Semiparametric Models, Bickel et al
All of Nonparametric Statistics, Larry Wasserman
Nonparametrics: Statistical Methods Based on Ranks, Erich L. Lehmann
Generalized Additive Models, Hastie & Tibshirani
此外，推荐 Empirical Likelihood, Owen
Analysis of Longitudinal Data, Diggle, Heagerty, Liang, Zeger
Applied Longitudinal Analysis, Fitzmaurice, Laird, Ware
Linear Mixed Models for Longitudinal Data, Verbeke & Molenberghs
Missing Data & Causal Inference 比较好的书有
Statistical Analysis with Missing Data 2ed, Little & Rubin
Missing Data in Clinical Studies, Molenberghs & Kenward
Semiparametric Theory and Missing Data, Tsiatis
Applied Bayesian Modeling and Causal Inference from Incomplete-Data Perspectives 这本书是
Rubin 这派几代人对 causal inference 的一个集成
Robins 这派的东西就看 paper 吧，Robins & Morgan 09 年也会出一本书
Unified Methods for Censored Longitudinal Data and Causality, Van der Laan & Robins
Missing Data in Longitudinal Studies, Daniels & Hogan
Bradley Efron 写的 2 本书和 Peter Hall 的 1 本是 Bootstrap 的经典，
Bootstrap Methods and Their Application, Davison & Hinkley
Survival Analysis:
Counting Processes and Survival Analysis, Fleming & Harrington 非常难读但是确实非常经典
Survival Analysis: Techniques for Censored and Truncated Data. Klein & Moeschberger
Modeling Survival Data: Extending the Cox Model, Therneau & Grambsh 有大量的 technique
The Statistical Analysis of Failure Time Data, Kalbfleisch & Prentice 第一版里处处有一些很好
的 idea，第二版又全面总结了近年的 research development
Modelling Survival Data in Medical Research, 2nd edition, David Collett
SAS 实现用 Survival Analysis Using the SAS: A Practical Guide, Paul D. Allison
subtopics:
Analysis of Multivariate Survival Data, Hougaard
Bayesian Survival Analysis, Ibrahim, Chen, Sinha
Functional Data Analysis, Ramsay & Silverman
Elements of Statistical Learning, Hastie, Tibshirani, Friedman
Xiao-Hua Zhou 的 Statistical Methods in Diagnostic Medicine 和 Margaret Sullivan Pepe 的 The
Statistical Evaluation of Medical Tests for Classification and Prediction 是 Diagnostic Test 的经
典。也有人用 Bayesian 方法做 Clinical Trials 的，可以在 Bayesian Approaches to Clinical Trials
and Health-Care Evaluation 里面看到，作者是 Spiegelhalter, Abrams, Myles.
一本极好的书叫《女士品茶：20 世纪统计怎样变革了科学》(The Lady Tasting Tee: How
Statistics Revolutionized Science in the Twentieth Century)，希望学习统计的都去看看。里面从
Francis Galton, Karl Pearson, R. A. Fisher，讲到 Jerzy Neyman, Emil J. Gumbel, Abraham
Wald,Wassily Hoeffding, John Tukey, Florence David Nightingale, Frank Wilcoxon, L.J. Savage,
George W. Snedecor, William Cochran, Gertrude Cox, Samuel Wilks, Henry Carver, I.J. Good,
Bradley Efron, George Box 的经历. 内容多为一些统计思想的原型，还有许多奇闻轶事。