Using The Weibull Distribution: Reliability, Modeling, And Inference

This book presents the theory, statistical background, and specialized software, including R, for understanding newly-evolving applications of the Weibull distribution across various fields of study. Unlike other engineer-written publications, which omit the probabilistic and statistical basis for the methodology, this text provides all the necessary information so that readers can gain a deeper understanding of statistical methods and become knowledgeable practitioners, rather than number-crunchers. It is ideal for courses on applied statistics and reliability engineering or as a reference for statisticians, engineers, business analysts, operation research professionals, and risk analysts.

JOHN I. McCOOL, PhD, is Professor of Systems Engineering at Penn State Great Valley School of Graduate Professional Studies. A Fellow of the American Society for Quality, Dr. McCool previously served as principal engineering scientist at SKF Industries Inc., where he conducted corporate as well as federally sponsored research projects with the Wright-Patterson Air Force Base, the Office of Naval Research, the Naval Air Propulsion Center, the Department of Energy, and the Air Force Office of Scientific Research.

Chapter 1. Probability


Chapter 2. Discrete and Continuous Random Variables


Chapter 3. Properties of the Weibull Distribution


Chapter 4. Weibull Probability Models


Chapter 5. Estimation in Single Samples


Chapter 6. Sample Size Selection, Hypothesis Testing and Goodness-of-Fit


Chapter 7. The Program Pivotal


Chapter 8. Inference from Multiple Samples


Chapter 9. Weibull Regression


Chapter 10. The Parameter Weibull Distribution


Chapter 11. Factorial Experiments with Weibull Response