Sequential Sampling Statistics
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Sequential Analysis
Author: David Siegmund
language: en
Publisher: Springer Science & Business Media
Release Date: 1985-08-07
The modern theory of Sequential Analysis came into existence simultaneously in the United States and Great Britain in response to demands for more efficient sampling inspection procedures during World War II. The develop ments were admirably summarized by their principal architect, A. Wald, in his book Sequential Analysis (1947). In spite of the extraordinary accomplishments of this period, there remained some dissatisfaction with the sequential probability ratio test and Wald's analysis of it. (i) The open-ended continuation region with the concomitant possibility of taking an arbitrarily large number of observations seems intol erable in practice. (ii) Wald's elegant approximations based on "neglecting the excess" of the log likelihood ratio over the stopping boundaries are not especially accurate and do not allow one to study the effect oftaking observa tions in groups rather than one at a time. (iii) The beautiful optimality property of the sequential probability ratio test applies only to the artificial problem of testing a simple hypothesis against a simple alternative. In response to these issues and to new motivation from the direction of controlled clinical trials numerous modifications of the sequential probability ratio test were proposed and their properties studied-often by simulation or lengthy numerical computation. (A notable exception is Anderson, 1960; see III.7.) In the past decade it has become possible to give a more complete theoretical analysis of many of the proposals and hence to understand them better.
Statistics and Society
Revised and updated (first edition, 1972) textbook for an introductory undergraduate course for non-mathematics majors illustrates how statistics and society interact, as well as statistics' relationship to mathematics and computer science. Includes end-of-chapter problems and an appendix with exami
Handbook of Sampling Methods for Arthropods in Agriculture
Handbook of Sampling Methods for Arthropods in Agriculture offers a comprehensive look at the principles and practicality of developing accurate sampling programs for arthropod pests and their arthropod enemies. The book examines developments in sampling populations and reviews sampling plans that produce accurate and affordable population estimates. The text stresses practicality, as well as the theoretical background of sampling. This book will be an indispensable reference for researchers, students, and practitioners in entomology and agriculture.