Springer工程统计手册：权威专家编纂的最新版电子书

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"《Handbook of Engineering Statistics》是由Springer出版的一本工程统计领域的权威参考书籍，由领域内的知名专家撰写，旨在提供研究方法、通用原理以及物理与工程中的功能性关系的关键信息。这本书包含了高清版的最新内容，并配有CD-ROM，内含377幅插图和204张表格，方便读者查阅和理解。" 《Handbook of Engineering Statistics》是一本综合性的工程统计手册，其目的是为了给工程师和科学家们提供一个快速、全面概述关键信息的平台，使他们能迅速获取可靠的关键数据，包括各种表格、图形和参考文献。书中的内容是从Springer的书籍、期刊和其他经过系统验证的近期技术信息出版物中精心挑选出来的，确保了信息的准确性和时效性。这本书的编纂者是Hoang Pham，他来自美国新泽西州立大学，他的专业知识和经验使得这本手册具有很高的权威性。书中涵盖了工程统计学的各个方面，可能包括但不限于数据收集、描述性统计、概率理论、假设检验、回归分析、时间序列分析、质量控制统计、可靠性分析、实验设计等。这些内容对于工程项目的规划、执行和评估都至关重要。通过377幅插图，读者可以直观地理解复杂的统计概念和模型，而204张表格则提供了大量的实用数据和计算工具，便于实际应用。此外，书中提供的参考资料指引读者进一步深入研究，扩展知识边界。无论是在学术研究还是实际工程问题的解决中，《Handbook of Engineering Statistics》都是一个不可或缺的桌面参考工具。这本书不仅适合工程领域的专业人士，也适用于那些在物理学、数学、计算机科学、经济学等相关学科中需要应用统计方法的人。对于学生和教师来说，它也是一个理想的教学和学习资源，帮助他们理解和掌握工程统计的核心概念和实践技巧。

List of Authors XV

Kwok-Leung Tsui

Georgia Institute of Technology

School of Industrial and Systems Engineering

765 Ferst Drive

Atlanta, GA 30332, USA

e-mail: ktsui@isye.gatech.edu

Fugee Tsung

Hong Kong University of Science

and Technology

Department of Industrial Engineering

and Logistics Management

Clear Water Bay

Kowloon, Hong Kong

e-mail: season@ust.hk

Lesley Walls

University of Strathclyde

Department of Management Science

40 George Street

Glasgow, G1 1QE, Scotland

e-mail: lesley.walls@strath.ac.uk

Wei Wang

Dana-Farber Cancer Institute

Department of Biostatistics

and Computational Biology

44 Binney Street

Boston, MA 02115, USA

e-mail: wwang@jimmy.harvard.edu

Kenneth Williams

Yale University

Molecular Biophysics and Biochemistry

300 George Street, G005

New Haven, CT 06520, USA

e-mail: kenneth.williams@yale.edu

Richard J. Wilson

The University of Queensland

Department of Mathematics

Brisbane, 4072, Australia

e-mail: rjw@maths.uq.edu.au

Baolin Wu

University of Minnesota, School of Public Health

Division of Biostatistics

A460 Mayo Building,

MMC 303, 420 Delaware St SE

Minneapolis, MN 55455, USA

e-mail: baolin@biostat.umn.edu

Min Xie

National University of Singapore

Dept. of Industrial & Systems Engineering

Kent Ridge Crescent

Singapore, 119 260, Singapore

e-mail: mxie@nus.edu.sg

Chengjie Xiong

Washington University in St. Louis

Division of Biostatistics

660 South Euclid Avenue, Box 8067

St. Louis, MO 63110, USA

e-mail: chengjie@wubios.wustl.edu

Di Xu

Amercian Express

Dept. of Risk Management

and Decision Science

200 Vesey Street

New York, NY 10285, USA

e-mail: di.w.xu@aexp.com

Shigeru Yamada

Tottori University

Department of Social Systems Engineering

Minami, 4-101 Koyama

Tottori-shi, 680-8552, Japan

e-mail: yamada@sse.tottori-u.ac.jp

Jun Yan

University of Iowa

Department of Statistics and Actuarial Science

241 Shaeffer Hall

Iowa City, IA 52242, USA

e-mail: jyan@stat.uiowa.edu

XVII

Contents

List of Tables.............................................................................................. XXXI

List of Abbreviations ................................................................................. 1

Part A Fundamental Statistics and Its Applications

1 Basic Statistical Concepts

Hoang Pham ........................................................................................... 3

1.1 Basic Probability Measures............................................................. 3

1.2 Common Probability Distribution Functions .................................... 7

1.3 Statistical Inference and Estimation ............................................... 17

1.4 Stochastic Processes ...................................................................... 32

1.5 Further Reading ............................................................................ 42

References............................................................................................... 42

1.A Appendix: Distribution Tables ........................................................ 43

1.B Appendix: Laplace Transform ......................................................... 47

Statistical Reliability with Applications

Paul Kvam, Jye-Chyi Lu ............................................................................ 49

2.1 Introduction and Literature Review ................................................ 49

2.2 Lifetime Distributions in Reliability ................................................ 50

2.3 Analysis of Reliability Data............................................................. 54

2.4 System Reliability .......................................................................... 56

References............................................................................................... 60

Weibull Distributions and Their Applications

Chin-Diew Lai, D.N. Pra Murthy, Min Xie ................................................... 63

3.1 Three-Parameter Weibull Distribution ............................................ 64

3.2 Properties ..................................................................................... 64

3.3 Modeling Failure Data ................................................................... 67

3.4 Weibull-Derived Models ................................................................ 70

3.5 Empirical Modeling of Data ............................................................ 73

3.6 Applications .................................................................................. 74

References............................................................................................... 76

Characterizations of Probability Distributions

H.N. Nagaraja ......................................................................................... 79

4.1 Characterizing Functions................................................................ 80

4.2 Data Types and Characterizing Conditions ....................................... 81

4.3 A Classiﬁcation of Characterizations................................................ 83

4.4 Exponential Distribution................................................................ 84

4.5 Normal Distribution....................................................................... 85

4.6 Other Continuous Distributions ...................................................... 87

XVIII Contents

4.7 Poisson Distribution and Process.................................................... 88

4.8 Other Discrete Distributions ........................................................... 90

4.9 Multivariate Distributions and Conditional Speciﬁcation.................. 90

4.10 Stability of Characterizations.......................................................... 92

4.11 Applications .................................................................................. 92

4.12 General Resources ......................................................................... 93

References............................................................................................... 94

Two-Dimensional Failure Modeling

D.N. Pra Murthy, Jaiwook Baik, Richard J. Wilson, Michael Bulmer............. 97

5.1 Modeling Failures.......................................................................... 98

5.2 Black-Box Modeling Process .......................................................... 98

5.3 One-Dimensional Black-Box Failure Modeling ................................ 99

5.4 Two-Dimensional Black-Box Failure Modeling................................ 103

5.5 A New Approach to Two-Dimensional Modeling .............................. 107

5.6 Conclusions................................................................................... 110

References............................................................................................... 110

Prediction Intervals for Reliability Growth Models

with Small Sample Sizes

John Quigley, Lesley Walls ........................................................................ 113

6.1 Modiﬁed IBM Model – A Brief History ............................................. 114

6.2 Derivation of Prediction Intervals for the Time to Detection

of Next Fault ................................................................................. 115

6.3 Evaluation of Prediction Intervals for the Time to Detect Next Fault . 117

6.4 Illustrative Example....................................................................... 119

6.5 Conclusions and Reﬂections........................................................... 122

References............................................................................................... 122

Promotional Warranty Policies: Analysis and Perspectives

Jun Bai, Hoang Pham .............................................................................. 125

7.1 Classiﬁcation of Warranty Policies .................................................. 126

7.2 Evaluation of Warranty Policies ...................................................... 129

7.3 Concluding Remarks ...................................................................... 134

References............................................................................................... 134

Stationary Marked Point Processes

Karl Sigman ............................................................................................ 137

8.1 Basic Notation and Terminology..................................................... 138

8.2 Inversion Formulas........................................................................ 144

8.3 Campbell’s Theorem for Stationary MPPs ........................................ 145

8.4 The Palm Distribution: Conditioning in a Point at the Origin ............ 146

8.5 The Theorems of Khintchine, Korolyuk, and Dobrushin.................... 146

8.6 An MPP Jointly with a Stochastic Process......................................... 147

8.7 The Conditional Intensity Approach ................................................ 148

8.8 The Non-Ergodic Case .................................................................... 150

8.9 MPPs in

.................................................................................... 150

References............................................................................................... 152

Contents XIX

9 Modeling and Analyzing Yield, Burn-In and Reliability

for Semiconductor Manufacturing: Overview

WayKuo,KyungmeeO.Kim,TaehoKim.................................................... 153

9.1 Semiconductor Yield ...................................................................... 154

9.2 Semiconductor Reliability .............................................................. 159

9.3 Burn-In ........................................................................................ 160

9.4 Relationships Between Yield, Burn-In and Reliability ..................... 163

9.5 Conclusions and Future Research ................................................... 166

References............................................................................................... 166

Part B Process Monitoring and Improvement

10 Statistical Methods for Quality and Productivity Improvement

Wei Jiang, Terrence E. Murphy, Kwok-Leung Tsui....................................... 173

10.1 Statistical Process Control for Single Characteristics ......................... 174

10.2 Robust Design for Single Responses................................................ 181

10.3 Robust Design for Multiple Responses ............................................ 185

10.4 Dynamic Robust Design ................................................................. 186

10.5 Applications of Robust Design ........................................................ 187

References............................................................................................... 188

Statistical Methods for Product and Process Improvement

Kailash C. Kapur, Qianmei Feng................................................................ 193

11.1 Six Sigma Methodology and the (D)MAIC(T) Process .......................... 195

11.2 Product Speciﬁcation Optimization................................................. 196

11.3 Process Optimization ..................................................................... 204

11.4 Summary ...................................................................................... 211

References............................................................................................... 212

Robust Optimization in Quality Engineering

Susan L. Albin, Di Xu ................................................................................ 213

12.1 An Introduction to Response Surface Methodology.......................... 216

12.2 Minimax Deviation Method to Derive Robust Optimal Solution......... 218

12.3 Weighted Robust Optimization....................................................... 222

12.4 The Application of Robust Optimization in Parameter Design ........... 224

References............................................................................................... 227

Uniform Design and Its Industrial Applications

Kai-Tai Fang, Ling-Yau Chan ................................................................... 229

13.1 Performing Industrial Experiments with a UD ................................. 231

13.2 Application of UD in Accelerated Stress Testing................................ 233

13.3 Application of UDs in Computer Experiments .................................. 234

13.4 Uniform Designs and Discrepancies ................................................ 236

13.5 Construction of Uniform Designs in the Cube .................................. 237

13.6 Construction of UDs for Experiments with Mixtures ......................... 240

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