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Yves Tille
Sampling and Estimation from Finite Populations
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Table of Contents
List of Tables
List of Illustrations
Guide
Pages
WILEY SERIES IN PROBABILITY AND STATISTICS
Sampling and Estimation from Finite Populations
Copyright
Preface
Preface to the First French Edition
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
Chapter 2 Population, Sample, and Estimation 2.1 Population
2.2 Sample
Definition 2.1
Definition 2.2
Definition 2.3
2.3 Inclusion Probabilities
Result 2.1
Proof:
Result 2.2
Proof:
Example 2.1
2.4 Parameter Estimation
Definition 2.4
Definition 2.5
Definition 2.6
Result 2.3
Proof:
2.5 Estimation of a Total
Result 2.4
Proof:
2.6 Estimation of a Mean
Definition 2.7
2.7 Variance of the Total Estimator
Result 2.5
Proof:
Result 2.6
Proof:
Result 2.7
Proof:
Definition 2.8
2.8 Sampling with Replacement
Exercises
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