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:
โข Optimum burn-in, age and block replacement, warranties
and renewal theory
โข Exact inference in Weibull regression
โข Goodness of fit testing and distinguishing the Weibull
from the lognormal
โข Inference for the Three Parameter Weibullย
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 reliabilityengineering at the upper-undergraduate and graduate levels. The book also serves as avaluable reference for engineers, scientists, and business analysts who gather and interpretdata that follows the Weibull distribution
Content:
Chapter 1 Probability (pages 1โ22):
Chapter 2 Discrete and Continuous Random Variables (pages 23โ72):
Chapter 3 Properties of the Weibull Distribution (pages 73โ96):
Chapter 4 Weibull Probability Models (pages 97โ129):
Chapter 5 Estimation in Single Samples (pages 130โ179):
Chapter 6 Sample Size Selection, Hypothesis Testing, and Goodness of Fit (pages 180โ212):
Chapter 7 The Program Pivotal.exe (pages 213โ234):
Chapter 8 Inference from Multiple Samples (pages 235โ275):
Chapter 9 Weibull Regression (pages 276โ297):
Chapter 10 The Three?Parameter Weibull Distribution (pages 298โ312):
Chapter 11 Factorial Experiments with Weibull Response (pages 313โ332):