Author | Mukhopadhyay, Parimal. author |
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Title | Topics in Survey Sampling [electronic resource] / by Parimal Mukhopadhyay |
Imprint | New York, NY : Springer New York, 2001 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-2088-6 |
Descript | XI, 292 p. online resource |
1 The Basic Concepts -- 1.1 Introduction -- 1.2 The Fixed Population model -- 1.3 Different Types of Sampling Designs -- 1.4 The Estimators -- 1.5 Some Inferential Problems under Fixed Population Set-Up -- 1.6 Plan of the Book -- 2 Inference under Frequentist Theory Approach -- 2.1 Introduction -- 2.2 Principles of Inference Based on Theory of Prediction -- 2.3 Robustness of Model-Dependent Optimal Strategies -- 2.4 A Class of Predictors under Model ?(X, v) -- 2.5 Asymptotic Unbiased Estimation of Design-Variance of $${{\hat{T}}_{{GR}}}$$ -- 3 Bayes and Empirical Bayes Prediction of a Finite Population Total -- 3.1 Introduction -- 3.2 Bayes and Minimax Prediction of Finite Population Parameters -- 3.3 Bayes Prediction of a Finite Population Total under Normal Regression Model -- 3.4 Bayes Prediction under an Asymmetric Loss Function -- 3.5 James-Stein Estimator and Associated Estimators -- 3.6 Empirical Bayes Prediction of Population Total under Simple Location Model -- 3.7 EB-Prediction under Normal Model using Covariates -- 3.8 Applications in Small Area Estimation -- 3.9 Bayes Prediction under Random Error Variance Model -- 3.10 Exercises -- 4 Modifications of Bayes Procedure -- 4.1 Introduction -- 4.2 Linear Bayes Prediction -- 4.3 Restricted Linear Bayes Prediction -- 4.4 Constrained Bayes Prediction -- 4.5 Bayesian Robustness under a Class of Alternative Models -- 4.6 Robust Bayes Estimation under Contaminated Priors -- 4.7 Exercises -- 5 Estimation of Finite Population Variance, Regression Coefficient -- 5.1 Introduction -- 5.2 Design-Based Estimation of a Finite Population Variance -- 5.3 Model-Based Prediction of V -- 5.4 Bayes Prediction of V(y) -- 5.5 Asymptotic Properties of Sample Regression Coefficient -- 5.6 PM-Unbiased Estimation of Slope Parameters in the Linear Regression Model -- 5.7 Optimal Prediction of Finite Population Regression Coefficient under Multiple Regression Model -- 5.8 Exercises -- 6 Estimation of a Finite Population Distribution Function -- 6.1 Introduction -- 6.2 Design-Based Estimators -- 6.3 Model-Based Predictors -- 6.4 Conditional Approach -- 6.5 Asymptotic Properties of the Estimators -- 6.6 Non-Parametric Kernel Estimators -- 6.7 Desirable Properties of an Estimator -- 6.8 Empirical Studies -- 6.9 Best Unbiased Prediction (BUP) under Gaussian Superpopulation Model -- 6.10 Estimation of Median -- 7 Prediction in Finite Population under Measurement Error Models -- 7.1 Introduction -- 7.2 Additive Measurement Error Models -- 7.3 Prediction under Multiplicative Error-in-Variables Model -- 7.4 Exercises -- 8 Miscellaneous Topics -- 8.1 Introduction -- 8.2 Calibration Estimators -- 8.3 Post-Stratification -- 8.4 Design-Based Conditional Unbiasedness -- 8.5 Exercises -- References -- Author Index