Sequential Testing Statistics
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Handbook of Sequential Analysis
Sequential analysis refers to the body of statistical theory and methods where the sample size may depend in a random manner on the accumulating data. A formal theory in which optimal tests are derived for simple statistical hypotheses in such a framework was developed by Abraham Wald in the early 1
Sequential Tests of Statistical Hypotheses
The purpose of this book is to give a systematic account of the mathematical theory in this field as applied to problems of hypothesis testing. The resulting methods are predominantly sequential probability ratio tests. A brief account of classical tests under the neyman-pearson formulation is included. The notion of sequential analysis has been used in some form or other in various branches of statistical inference. We may classify these branches into three broad categories: Statistical tests of hypotheses, statistical estimation, and statistical decision theory.
Sequential Statistical Procedures
Probability and Mathematical Statistics, Volume 26: Sequential Statistical Procedures provides information pertinent to the sequential procedures that are concerned with statistical analysis of data. This book discusses the fundamental aspects of sequential estimation. Organized into four chapters, this volume begins with an overview of the essential feature of sequential procedure. This text then examines the sequential probability ratio test procedure and provides a method of constructing a most powerful test for a simple hypothesis versus simple alternative-testing problem. Other chapters consider the problem of testing a composite hypothesis against a composite alternative. This book discusses as well the theory of sequential tests that is appropriate for distinguishing between two simple or composite hypotheses. The final chapter deals with the theory of sequential estimation. This book is a valuable resource for graduate students, research workers, and users of sequential procedures.