Small Area Estimation. (2015)

• Record Type: Book
• Further Information: Note: J.N.K. Rao and Isabel Molina.
• Authors: Rao, J. N. K, 1937-; Molina, Isabel, 1975-
• Contents: List of Figures viii; ; List of Tables x; ; Foreword xii; ; Preface xv; ; 1 Introduction 1; ; 1.1 What is a Small Area? 1; ; 1.2 Demand for Small Area Statistics 3; ; 1.3 Traditional Indirect Estimators 4; ; 1.4 Small Area Models 4; ; 1.5 Model-Based Estimation 5; ; 1.6 Some Examples 6; ; 2 Direct Domain Estimation 9; ; 2.1 Introduction 9; ; 2.2 Design-based Approach 10; ; 2.3 Estimation of Totals 11; ; 2.4 Domain Estimation 16; ; 2.5 Modi_ed GREG Estimator 21; ; 2.6 Design Issues 23; ; 2.7 Optimal sample allocation for planned domains 26; ; 2.8 Proofs 32; ; 3 Indirect Domain Estimation 35; ; 3.1 Introduction 35; ; 3.2 Synthetic Estimation 35; ; 3.3 Composite Estimation 58; ; 3.4 James-Stein Method 64; ; 3.5 Proofs 73; ; 4 Small Area Models 77; ; 4.1 Introduction 77; ; 4.2 Basic Area Level Model 78; ; 4.3 Basic Unit Level Model 80; ; 4.4 Extensions: Area Level Models 83; ; 4.5 Extensions: Unit Level Models 90; ; 4.6 Generalized Linear Mixed Models 94; ; 5 Empirical Best Linear Unbiased Prediction: Theory 99; ; 5.1 Introduction 99; ; 5.2 General Linear Mixed Model 100; ; 5.3 Block Diagonal Covariance Structure 110; ; 5.4 Model Identi_cation and Checking 113; ; 5.5 Software 120; ; 5.6 Proofs 121; ; 6 EBLUP: Basic Area Level Model 125; ; 6.1 EBLUP estimation 125; ; 6.2 MSE Estimation 138; ; 6.3 Robust estimation in the presence of outliers 148; ; 6.4 Practical issues 150; ; 6.5 Software 172; ; 7 Basic Unit Level Model 175; ; 7.1 EBLUP estimation 175; ; 7.2 MSE Estimation 181; ; 7.3 Applications 188<br />; 7.4 Outlier robust EBLUP estimation 195; ; 7.5 M-quantile regression 202; ; 7.6 Practical Issues 207; ; 7.7 Software 229; ; 7.8 Proofs 233; ; 8 EBLUP: Extensions 235; ; 8.1 Multivariate Fay-Herriot Model 235; ; 8.2 Correlated Sampling Errors 237; ; 8.3 Time Series and Cross-sectional Models 240; ; 8.4 Spatial Models 249; ; 8.5 Two-fold Subarea Level Models 252; ; 8.6 Multivariate Nested Error Regression Model 253; ; 8.7 Two-fold Nested Error Regression Model 255; ; 8.8 Two-level Model 259; ; 8.9 Models for Multinomial Counts 261; ; 8.10 EBLUP for Vectors of Area Proportions 263; ; 8.11 Software 264; ; 9 Empirical Bayes (EB) Method 269; ; 9.1 Introduction 269; ; 9.2 Basic Area Level Model 270; ; 9.3 Linear Mixed Models 287; ; 9.4 EB estimation of general _nite population parameters 289; <br />9.5 Binary Data 298; ; 9.6 Disease Mapping 309; ; 9.7 Design-weighted EB estimation: exponential family models 314; ; 9.8 Triple-goal Estimation 317; ; 9.9 Empirical Linear Bayes 320; ; 9.10 Constrained LB 325; ; 9.11 Software 326; ; 9.12 Proofs 331; ; 10 Hierarchical Bayes (HB) Method 335; ; 10.1 Introduction 335; ; 10.2 MCMC Methods 336; ; 10.3 Basic Area Level Model 349; ; 10.4 Unmatched Sampling and Linking Area Level Models 359; ; 10.5 Basic Unit Level Model 364; ; 10.6 General ANOVA Model 371; ; 10.7 HB estimation of general _nite population parameters 372; ; 10.8 Two-level Models 377; ; 10.9 Time Series and Cross-sectional Models 380; ; 10.10 Multivariate Models 385; ; 10.11 Disease Mapping Models 386; ; 10.12 Two-part Nested Error Model 391; ; 10.13 Binary Data 392; ; 10.14 Missing Binary Data 401; ; 10.15 Natural Exponential Family Models 402; ; 10.16 Constrained HB 403; ; 10.17 Approximate HB Inference and Data Cloning 404; ; 10.18 Proofs 405; ; References 409
• Edition: Second edition
• Publisher Details: Hoboken, New Jersey : Wiley
• Publication Date: 2015
• Extent: 1 online resource, illustrations
• Subjects: 519.52; Sampling (Statistics); Estimation theory
• Languages: English
• ISBNs: 9781118735725
• Related ISBNs: 9781118735787
• Notes: Note: Includes bibliographical references and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.