SAMPLE SURVEY THEORY. SOM PYTHAGOREAN PERSPECTIVES KNOTTNERUS P Księgarnia

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. Step by step, 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 whole family of different sampling designs, varying from simple surveys to complex surveys based on multistage sampling without replacement and unequal probabilities. This volume will be useful for survey practitioners faced with complex surveys. The book also considers constrained estimation problems that may occur in practice when linear or nonlinear economic restrictions are imposed on the population parameters to be estimated and the observations stem from different surveys. For example, regression estimators and consistent estimation of contingency tables are special cases within this rather broad class of constrained estimators. This volume also offers a guide to little-known connections between design-based survey sampling and other areas of statistics and related disciplines. The common underlying principles in the distinct fields are explained by an extensive use of the geometry of the ancient Pythagorean theorem. Apart from its applied importance, the book may also serve as a textbook in advanced courses and as a reference for researchers in statistics and empirical economics. In order to make the text as self-contained as possible, the treatise includes one chapter with the main results from statistics, including regression analysis. Some familiarity with calculus and matrix algebra is a sufficient prerequisite. Paul Knottnerus received his PhD in economics in 1989 from the University of Amsterdam. In 1995 he joined Statistics Netherlands, Department of Methods and Informatics. Previously he spent several years with Dutch Telecom. He is author of the book Linear Models with Correlated Disturbances (1991).

Table of contents

Introduction and Outline of the Book * Elementary Statistics * 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 * Estimation of the Sampling Autocorrelation Coefficient * Variance Approximations * A Simulation Study * The Regression Estimator Revisited * General Restriction Estimator in Multisurvey Sampling * Weighting Procedures

459 pages

Po otrzymaniu zamówienia poinformujemy,
czy wybrany tytuł polskojęzyczny lub anglojęzyczny jest aktualnie na półce księgarni.