Sampling and Estimation from Finite Populations. Yves Tille
Table of Contents
1 Cover
5 Preface
6 Preface to the First French Edition
8 Chapter 1: A History of Ideas in Survey Sampling Theory 1.1 Introduction 1.2 Enumerative Statistics During the 19th Century 1.3 Controversy on the use of Partial Data 1.4 Development of a Survey Sampling Theory 1.5 The US Elections of 1936 1.6 The Statistical Theory of Survey Sampling 1.7 Modeling the Population 1.8 Attempt to a Synthesis 1.9 Auxiliary Information 1.10 Recent References and Development Notes
9 Chapter 2: Population, Sample, and Estimation 2.1 Population 2.2 Sample 2.3 Inclusion Probabilities 2.4 Parameter Estimation 2.5 Estimation of a Total 2.6 Estimation of a Mean 2.7 Variance of the Total Estimator 2.8 Sampling with Replacement
10 Chapter 3: Simple and Systematic Designs 3.1 Simple Random Sampling without Replacement with Fixed Sample Size 3.2 Bernoulli Sampling 3.3 Simple Random Sampling with Replacement 3.4 Comparison of the Designs with and Without Replacement 3.5 Sampling with Replacement and Retaining Distinct Units 3.6 Inverse Sampling with Replacement 3.7 Estimation of Other Functions of Interest 3.8 Determination of the Sample Size 3.9 Implementation of Simple Random Sampling Designs 3.10 Systematic Sampling with Equal Probabilities 3.11 Entropy for Simple and Systematic Designs
11 Chapter 4: Stratification 4.1 Population and Strata 4.2 Sample, Inclusion Probabilities, and Estimation 4.3 Simple Stratified Designs 4.4 Stratified Design with Proportional Allocation 4.5 Optimal Stratified Design for the Total 4.6 Notes About Optimality in Stratification 4.7 Power Allocation 4.8 Optimality and Cost 4.9 Smallest Sample Size 4.10 Construction of the Strata 4.11 Stratification Under Many Objectives
12 Chapter 5: Sampling with Unequal Probabilities 5.1 Auxiliary Variables and Inclusion Probabilities 5.2 Calculation of the Inclusion Probabilities 5.3 General Remarks 5.4 Sampling with Replacement with Unequal Inclusion Probabilities 5.5 Nonvalidity of the Generalization of the Successive Drawing without Replacement 5.6 Systematic Sampling with Unequal Probabilities 5.7 Deville's Systematic Sampling 5.8 Poisson Sampling 5.9 Maximum Entropy Design 5.10 Rao–Sampford Rejective Procedure 5.11 Order Sampling 5.12 Splitting Method 5.13 Choice of Method 5.14 Variance Approximation 5.15 Variance Estimation Exercises
13
Chapter