Biased Sampling, Over-identified Parameter Problems and Beyond
β Scribed by Jing Qin (auth.)
- Publisher
- Springer Singapore
- Year
- 2017
- Tongue
- English
- Leaves
- 626
- Series
- ICSA Book Series in Statistics
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This book is devoted to biased sampling problems (also called choice-based sampling in Econometrics parlance) and over-identified parameter estimation problems. Biased sampling problems appear in many areas of research, including Medicine, Epidemiology and Public Health, the Social Sciences and Economics. The book addresses a range of important topics, including case and control studies, causal inference, missing data problems, meta-analysis, renewal process and length biased sampling problems, capture and recapture problems, case cohort studies, exponential tilting genetic mixture models etc.
The goal of this book is to make it easier for Ph. D students and new researchers to get started in this research area. It will be of interest to all those who work in the health, biological, social and physical sciences, as well as those who are interested in survey methodology and other areas of statistical science, among others.
β¦ Table of Contents
Front Matter....Pages i-xvi
Examples and Basic Theories for Length Biased Sampling Problems....Pages 1-9
Brief Introduction of Renewal Process....Pages 11-21
Heuristical Introduction of General Biased Sampling with Various Applications....Pages 23-47
Brief Review of Parametric Likelihood Inferences....Pages 49-83
Optimal Estimating Function Theory....Pages 85-110
Projection Methods in General Semiparametric Models....Pages 111-127
Generalized Method of Moments....Pages 129-138
Empirical Likelihood with Applications....Pages 139-170
KullbackβLeibler Likelihood and Entropy Family....Pages 171-189
General Theory on Biased Sampling Problems....Pages 191-206
General Theory for Case-Control Studies....Pages 207-239
Conditioning Approach for Discrete Outcome Problems....Pages 241-247
Discrete Data Models....Pages 249-257
Gene and Environment Independence and Secondary Outcome Analysis in Case-Control Study....Pages 259-279
Outcome Dependent Sampling and Maximum Rank Estimation....Pages 281-295
Noncentral Hypergeometric Distribution and Poisson Binomial Distribution....Pages 297-305
Inferences and Tests in Semiparametric Finite Mixture Models....Pages 307-330
Connections Among Marginal Likelihood, Conditional Likelihood and Empirical Likelihood....Pages 331-351
Causal Inference and Missing Data Problems....Pages 353-408
Inference in Finite Populations....Pages 409-425
Inference for Density Ratio Model with Continuous Covariates....Pages 427-446
Non-ignorable Missing Data Problems....Pages 447-466
Maximum Likelihood Estimation in Capture-Recapture Models....Pages 467-476
A Review of Survival Analysis....Pages 477-518
Length Biased Sampling, Multiplicative Censoring and Survival Analysis....Pages 519-558
Applications of the Pool Adjacent Violation Algorithm (PAVA) in Statistical Inferences....Pages 559-600
Back Matter....Pages 601-624
β¦ Subjects
Statistics for Business/Economics/Mathematical Finance/Insurance;Applications of Mathematics;Economic Theory/Quantitative Economics/Mathematical Methods
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