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''Many examples drawn from the author’s experience of engineering applications are used to illustrate the theoretical results, which are presented in a cookbook fashion...it provides an excellent practical guide to the analysis of product-life data.'' –T.M.M. Farley Special Programme of Research in Human Reproduction World Health Organization Geneva, Switzerland Review in Biometrics, September 1983
Now a classic, Applied Life Data Analysis has been widely used by thousands of engineers and industrial statisticians to obtain information from life data on consumer, industrial, and military products. Organized to serve practitioners, this book starts with basic models and simple informative probability plots of life data. Then it progresses through advanced analytical methods, including maximum likelihood fitting of advanced models to life data. All data analysis methods are illustrated with numerous clients' applications from the author's consulting experience.
Author(s): Wayne B. Nelson
Series: Wiley series in probability and mathematical statistics. Applied probability and statistics
Publisher: Wiley
Year: 1982
Language: English
Commentary: 72822
Pages: 656
City: New York
APPLIED LIFE DATA ANALYSIS......Page 1
Contents......Page 13
1. Introduction......Page 19
2. Overview of the Book......Page 21
3. Background Material......Page 23
2. Basic Concepts and Distributions for Product Life......Page 33
1. General Theory on Continuous Distributions (Illustrated by the Exponential Distribution)......Page 34
2. Normal Distribution......Page 46
3. Lognormal Distribution......Page 50
4. Weibull Distribution......Page 54
5. Smallest Extreme Value Distribution......Page 57
6. Gamma and Chi-square Distributions......Page 62
7. Other Distributions......Page 65
8. Shifted Distributions......Page 72
9. Conditional and Truncated Distributions......Page 74
10. Joint Distributions and the Joint Normal Distribution......Page 89
11. General Theory on Discrete Distributions (Geometric Distribution)......Page 96
12. Poisson Distribution......Page 102
13. Binomial Distribution......Page 109
14. Hypergeometric Distribution......Page 114
15. Multinomial Distribution......Page 116
Problems......Page 118
3. Probability Plotting of Complete and Singly Censored Data......Page 121
1. Motivation......Page 122
2. How to Make a Probability Plot of Complete Data......Page 126
4. Exponential Probability Plot......Page 128
5. Normal Probability Plot......Page 129
6. Lognormal Probability Plot......Page 131
7. Weibull Probability Plot......Page 133
8. Extreme Value Probability Plot......Page 134
9. Aids for Data Plotting......Page 135
10. Probability Plots of Singly Censored Data......Page 138
11. Theory for Probability Papers......Page 143
Problems......Page 146
4. Graphical Analysis of Multiply Censored Data......Page 149
1. Hazard Plotting......Page 150
2. Probability Plotting of Multiply Censored Data......Page 164
3. Theory for Hazard Papers......Page 172
Problems......Page 176
5. Series Systems and Competing Risks......Page 180
1. Series Systems of Different Components......Page 181
2. Series Systems of Identical Parts......Page 186
3. Hazard Plots for Data with Competing Failure Modes......Page 191
Problems......Page 205
6. Analysis of Complete Data......Page 211
1. Basic Ideas for Data Analysis......Page 212
2. Poisson Data......Page 218
3. Binomial Data......Page 222
4. Exponential Data......Page 227
5. Normal and Lognormal Data......Page 234
6. Weibull and Extreme Value Data......Page 244
7. Distribution-Free Methods......Page 253
Problems......Page 261
7. Linear Methods for Singly Censored Data......Page 265
1. Basic Concepts......Page 266
2. Exponential Data......Page 269
3. Normal and Lognormal Data......Page 279
4. Weibull and Extreme Value Data......Page 294
5. Order Statistics......Page 312
Problems......Page 327
Introduction......Page 331
1. Exponential Distribution......Page 334
2. Normal and Lognormal Distributions......Page 341
3. Weibull and Extreme Value Distributions......Page 351
4. Data with Competing Failure Modes–Maximum Likelihood Analysis......Page 365
5. General Maximum Likelihood Methods and Theory......Page 374
6. Numerical Methods......Page 404
Problems......Page 413
Introduction......Page 423
1. Graphical Analyses of Quantal-Response Data......Page 425
2. Maximum Likelihood Fitting for Quantal-Response Data......Page 429
3. Graphical Analyses of Interval Data......Page 432
4. Maximum Likelihood Analyses for Interval Data......Page 436
5. ML Theory for Interval and Quantal-Response Data......Page 439
Problems......Page 445
Introduction......Page 451
1. Comparison of Poisson Samples......Page 456
2. Comparison of Binomial Samples......Page 465
3. Comparison of Multinomial Samples......Page 471
4. Comparison of Exponential Samples......Page 477
5. Comparison of Normal and Lognormal Samples......Page 487
6. Nonparametric, Weibull, and Other Distributions......Page 508
7. Theoretical Concepts for Hypothesis Tests......Page 509
Problems......Page 512
11. Comparisons With Linear Estimators (Singly Censored and Complete Data)......Page 522
1. One-Sample Comparisons......Page 523
2. Pooled Estimate of a Common Parameter Value......Page 527
3. Two-Sample Comparisons......Page 528
4. K-Sample Comparisons......Page 533
Problems......Page 537
12. Maximum Likelihood Comparisons (Multiply Censored and Other Data)......Page 540
1. One-Sample Comparisons......Page 541
2. Pooled Estimate of a Common Parameter Value......Page 543
3. Two-Sample Comparisons......Page 545
4. K-Sample Comparisons......Page 549
5. Likelihood Ratio Tests......Page 552
6. General Theory for Likelihood Ratio and Related Tests......Page 557
Problems......Page 571
13. Survey of Other Topics......Page 576
1. System Reliability Models and Their Analyses......Page 577
2. Maintainability Models and Data Analyses......Page 579
5. Bayesian Methods in Reliability......Page 580
6. Reliability Demonstration and Acceptance Tests......Page 581
8. Renewal Theory and Data Analysis......Page 582
9. Life as a Function of Other Variables......Page 583
11. Depreciation, Replacement, and Maintenance Policies......Page 584
12 Books on Reliability and Life Data Analysis......Page 585
13. Abstracts, Bibliographies, and Indices on Reliability and Life Data Analysis......Page 587
14. Journals with Papers on Reliability and Life Data Analysis......Page 588
15. Computerized Literature Searches......Page 589
Problems......Page 590
Appendix A Tables......Page 593
References......Page 621
Index......Page 635
