Binomial distribution handbook for scientists and engineers科学家和工程师用二项分布手册

分類: 图书,进口原版书,科学与技术 Science & Techology ,
作者: E.von Collani,Klaus Dräger著
出 版 社:
出版时间: 2001-6-1字数:版次: 1页数: 357印刷时间: 2001/06/01开本: 16开印次: 1纸张: 胶版纸I S B N : 9780817641290包装: 精装内容简介
“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。”
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。
目录
Preface
ⅠIntroduction
1 Stochastics
1.1 The Science of Stochastics
1.2 Historical Remarks
1.3 Measurement Procedure and Measurement Range
2 Models Related to the Probability of an Event
2.1 The Concept of Probability
2.2 Random Variables and Data
2.3 The Model
2.4 The Random Sample
2.5 The Binomial Distribution
2.6 The Hypergeometric Distribution
2.7 Measuring in the Measurement Range
3 Traditional Estimation Proeedures
3.1 Theory of Estimatlon
3.1.1 Neyman’s Approach
3.1.2 Point and Interval Estimation
3.2 Interval Estimator for a Probability4:
3.3 The Relative Frequency X
3.4 Measurement Procedures Based Oil the Relative Frequency
3.4.1 raditional Measurement Procedures
3.4.2 Approximate Interval Estimators
ⅡTheory
4 Measurement and Prediction Procedures
4.1 The Problem Revisited
4.2 Measurement&Prediction Space
4.2.1 Measurement&Prediction Space for(p,x)
4.2.2 Measurement&Prediction Space for(p,x)
4.3 B-Measurement&Prediction
4.3.1 The一Measurement&Prediction Space for(P,X)
4.3.2 TheB-Measurement&Prediction Space for(P,xs)
4.3.3 The Relation Between M and M
4.4 Quality of a Measurement Procedure
4.4.1 Quality of the B一Measurement&Prediction Space for(X,p)
4.4.2 Quality of theB一Measurement&Prediction Space for(xs,p)
4.5 NeymanB一Measurement Procedure
4.6 Determination of Neyman Measurement Procedures
4.7 Limiting Quality of Neyman Procedures
4.8 B-Measurement&Prediction Space for a Large Sample Size
4.9 Illustrative Example
4.9.1 Prediction Procedure Based on X
4.9.2 Measurement Procedure Based on X
4.9.3 B-Measurement&Prediction Space Based on(P,X)
4.9.4 Prediction&Measurement Procedure Based on Xs
4.9.5 Traditional Measurement Procedure
5 Complete Measurement Procedures
6 Exclusion Procedures
7 Comparison Procedures
Ⅲ Introduction to the Tables
8 Measurement Intervals
9 Prediction Regions
Ⅳ Application
10 Measuring a Probability
11 Excluding a Probability
12 Comparing Probabilities
Ⅴ Tables
Glossary
References
Index