Chin-Diew Lai Libri

Focusing on bivariate distributions, this book explores the dependence structures of random variables, emphasizing their correlation and properties for clearer understanding. It simplifies the joint density plot representation, making complex concepts more accessible. Additionally, the text discusses how bivariate distributions can be extended to multivariate forms using vector or matrix representations. This edition revises the first 17 chapters of the author's prior work, enhancing clarity and depth in the study of statistical dependencies.

Focusing on the intersection of ageing and dependence, this book explores mathematical methods vital for reliability and survival analysis. It offers a comprehensive overview that includes practical applications, exercises, and examples, making it an essential reference for professors and researchers in the field.

The Weibull distribution has been one of the most cited lifetime distributions in reliability engineering. Over the last decade, many generalizations and extensions of the Weibull have been proposed in order to provide more flexibility than the traditional version when it comes to modeling lifetime data in diverse fields. This book offers an update on these developments, presenting the essential properties of each model. Several plots of density and hazard rate functions are also included, and a brief outline of known application(s) for each model is also given. ​