Unified Theory and Strategies of Survey Sampling.

Part A: Unified Theory of Sampling. Introduction. Principal Notation and Formulation of the Main Problem. Design-Based Estimation. Admissibility and Other Optimality Properties of Sampling Designs. Sufficiency and Related Concepts in Survey Sampling. Sample Survey and General Statistical Model. Further Details on Likelihood and Bayesian Approach. Predictive Approach. Robustness. Concluding Remarks. Appendices: An Optimality Property of the Sample Mean. Alternative Models and Relative Performances of Sampling Strategies. Inference About Symmetric Functions of Exchangeable Populations: Non-Informativeness of Labels. Robustness of Strategies. Part B: Strategies of Sampling. Introduction and Summary. The Horvitz-Thompson Estimator. Subdivision of Sampling Schemes. Sampling Schemes for Use of the HTE: n=2. Sampling Schemes for Use of the HTE: General n. Sampling with Other Strategies. Alternative Estimators. Ratio, Product, and Regression Estimators. Variance Estimation. Special Designs. Comparison of Strategies. Appendices: Varying Probability Sampling for Robust Estimation. Optimality of HTE Under Random Permutation Labelling. References.

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