Sample Survey Theory

Some Pythagorean Perspectives

Paul Knottnerus

436 pages, parution le 17/12/2002

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Résumé

This book describes a novel approach to the theory of sampling from finite populations. The new unifying approach is based on the sampling autocorrelation coefficient. The author derives a general set of sampling equations that describe the estimators, their variances as well as the corresponding variance estimators. These equations are applicable for a family of different sampling designs, varying from simple surveys to complex surveys based on multistage sampling without replacement and unequal probabilities.

The book also considers constrained estimation problems that may occur when linear or nonlinear economic restrictions are imposed on the population parameters to be estimated and the observations stem from different surveys. This volume also offers a guide to little-known connections between design-based survey sampling and other areas of statistics. The common underlying principles in the distinct fields are explained by an extensive use of the geometry of the ancient Pythagorean theorem.

Contents

Introduction and Outline of the Book
Elementary Statistics

I- Sampling Theory and Autocorrelations

Alternative Approach to Unequal Probability Sampling
A General Rho Theory on Survey Sampling
Variance Estimation for Some Standard Designs
Multistage and Cluster (Sub)Sampling
Systematic Sampling

II- Variance Estimation in Complex Surveys

Estimation of the Sample Autocorrelation rz
Variance Approximations
A Simulation Study

III- Minimum Variance Estimators

The Regression Estimator Revisited
General Restriction Estimator in Multisurvey Sampling
Weighting Procedures

L'auteur - Paul Knottnerus

Statistics Netherlands, Voorburg, The Netherlands

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Paul Knottnerus
Parution	17/12/2002
Nb. de pages	436
Format	16 x 24
Couverture	Relié
Poids	727g
Intérieur	Noir et Blanc
EAN13	9780387954073
ISBN13	978-0-387-95407-3