Using the Weibull distribution. Reliability, modeling, and inference.

*(English)*Zbl 1258.60001
Wiley Series in Probability and Statistics. Hoboken, NJ: John Wiley & Sons (ISBN 978-1-118-21798-6/hbk; 978-1-118-35199-4/ebook). xix, 336 p. (2012).

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. 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 subsequently covered topics, 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. I would recommend it to those who like practical applications, too.

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. I would recommend it to those who like practical applications, too.

Reviewer: János Sztrik (Debrecen)

##### MSC:

60-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to probability theory |

60E05 | Probability distributions: general theory |

60K10 | Applications of renewal theory (reliability, demand theory, etc.) |