Binomial Distribution Handbook for Scientists and Engineers

ISBN-13: 9781461266662 / Angielski / Miękka / 2012 / 357 str.

E. Von Collani; Klaus Drager; E. Von Collani

Opis

Binomial Distribution Handbook for Scientists and Engineers is a new reference book that deals with estimating and testing a proportion or the probability of an event. The purpose of the book is twofold: it aims at providing practitioners with refined and easy-to-use techniques as well as initiating a new field of research in theoretical statistics. The book contains completely new interval and point estimators as well as test procedures that are superior to the traditional ones.This is especially true in the case of small- and medium-sized samples, which are characteristic for many fields of application. The procedures are derived fro fixed and boudned parameter ranges, thus allowing the selection of a method tailored to a given situation. Thus, according to the size of the proportion or probability of interest different estimators should be used, similar to the case of measuring length, where the measurement method depends heavily on the size of the length to be measured. The approach yields more precise estimators and more powerful tests. It may also be applied to other estimation or test problems.Features and Topics: * An introduction to stochastics and its specific problems* A detailed theoretical derivation of the geometric approach in statistics based on a bounded measurement range* Practical, comprehensive tables for data analysis of the experimental state of investigations* Supplementary online files with extensive tables for measurement (confidence) intervals and prediction regions for testing; files available at http: //extras.springer.com/2001/978-0-8176-4129-0*A detailed description of how to apply the tables in given situations for estimating and testingStatisticians and practitioners applying statistical methods will find this book an essential professional reference providing easy access to practical material for quick use.

Recenzje

"The book addresses professional and academic statisticians, offering a non-standard look [at] statistics, tracing its roots and major developments, and deriving easy-to-apply methods. ...Different groups of readers are likely to benefits from this handbook. For those interested in the theory, Part II explains its details. For readers only interested in the applications, Part II can be skipped without hampering the overall understanding of the approach. The book is easy to read, the language is clear and extensive. ...The theoretical details are given with mathematical rigour assuming a basic mathematical background from the reader. Erudite accounts of the historical aspects of stochastics and the enlightening debates on some controversial viewpoints add to the handbook's appeal."

--The Mathematical Gazette

Spis treści

Preface Part I. Introduction Stochastics Models Related to the Probability of an Event Traditional Estimation Procedures Part II. Theory Measurement and Prediction Procedures Complete Measurement Procedures Exclusion Procedures Comparison Procedures Part III. Introduction to the Tables Measurement Intervals Prediction Regions Part IV. Application Measuring a Probability Excluding a Probability Comparing Probabilities Part V. Tables Glossary References Index