
- English
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About this book
Understand and utilize the latest developments in Weibull inferential methods
While the Weibull distribution is widely used in science and engineering, most engineers do not have the necessary statistical training to implement the methodology effectively. Using the Weibull Distribution: Reliability, Modeling, and Inference fills a gap in the current literature on the topic, introducing a self-contained presentation of the probabilistic basis for the methodology while providing powerful techniques for extracting information from data.
The author explains the use of the Weibull distribution and its statistical and probabilistic basis, providing a wealth of material that is not available in the current literature. The book begins by outlining the fundamental probability and statistical concepts that serve as a foundation for subsequent topics of coverage, including:
• Optimum burn-in, age and block replacement, warranties
and renewal theory
• Exact inference in Weibull regression
• Goodness of fit testing and distinguishing the Weibull
from the lognormal
• Inference for the Three Parameter Weibull
Throughout the book, a wealth of real-world examples showcases the discussed topics and each chapter concludes with a set of exercises, allowing readers to test their understanding of the presented material. In addition, a related website features the author's own software for implementing the discussed analyses along with a set of modules written in Mathcad®, and additional graphical interface software for performing simulations.
With its numerous hands-on examples, exercises, and software applications, Using the Weibull Distribution is an excellent book for courses on quality control and reliability engineering at the upper-undergraduate and graduate levels. The book also serves as a valuable reference for engineers, scientists, and business analysts who gather and interpret data that follows the Weibull distribution
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Information
Table of contents
- Cover
- WILEY SERIES IN PROBABILITY AND STATISTICS
- Title page
- Copyright page
- Dedication
- Preface
- CHAPTERÂ 1 Probability
- CHAPTERÂ 2 Discrete and Continuous Random Variables
- CHAPTERÂ 3 Properties of the Weibull Distribution
- CHAPTERÂ 4 Weibull Probability Models
- CHAPTERÂ 5 Estimation in Single Samples
- CHAPTERÂ 6 Sample Size Selection, Hypothesis Testing, and Goodness of Fit
- CHAPTERÂ 7 The Program Pivotal.exe
- CHAPTERÂ 8 Inference from Multiple Samples
- CHAPTERÂ 9 Weibull Regression
- CHAPTERÂ 10 The Three-Parameter Weibull Distribution
- CHAPTERÂ 11 Factorial Experiments with Weibull Response
- Index