Sampling Statistics (Wiley Series in Survey Methodology
Wayne A. Fuller
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Contents
Preface ix
List Of Tables
List Of Principal Results
List Of Examples
1 PROBABILITY SAMPLING FROM A FINITE UNIVERSE
1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . .1
1.2 Probability Sampling . . . . . . . . . . . . . . . . . . . . .2
1.2.1 Basic properties of probability samples . . . . . . .
1.2.2 Poisson sampling . . . . . . . . . . . . . . . . . .
1.2.3 Stratified sampling . . . . . . . . . . . . . . . . . .
1.2.4 Systematic sampling . . . . . . . . . . . . . . . . .
1.2.5 Replacement sampling . . . . . . . . . . . . . . . .
1.2.6 Rejective sampling . . . . . . . . . . . . . . . . . .
1.2.7 Cluster samples . . . . . . . . . . . . . . . . . . .
1.2.8 Two-stage sampling . . . . . . . . . . . . . . . . .
1.3 Limit Properties . . . . . . . . . . . . . . . . . . . . . . .
1.3.1 Sequences of estimators . . . . . . . . . . . . . . .
1.3.2 Central limit theorems . . . . . . . . . . . . . . . .
1.3.3 Functions of means . . . . . . . . . . . . . . . . .
1.3.4 Approximations for complex estimators . . . . . . .
1.3.5 Quantiles . . . . . . . . . . . . . . . . . . . . . . .
1.4 Methods of Unequal Probability Sample Selection . . . . .
1.5 References . . . . . . . . . . . . . . . . . . . . . . . . . .
1.6 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . .
1.7 Appendix 1A: Some Order Concepts . . . . . . . . . . . .
2 USE OF AUXILIARY INFORMATION IN ESTIMATION
2.1 Ratio Estimation . . . . . . . . . . . . . . . . . . . . . . .