Authors: Gauss M. Cordeiro, Rodrigo B. Silva, Abraão D.C. Nascimento

Recent Advances in Lifetime and Reliability Models

eBook: US $59 Special Offer (PDF + Printed Copy): US $100
Printed Copy: US $71
Library License: US $236
ISBN: 978-1-68108-346-9 (Print)
ISBN: 978-1-68108-345-2 (Online)
Year of Publication: 2020
DOI: 10.2174/97816810834521200101


Mathematicians and statisticians have made significant academic progress on the subject of distribution theory in the last two decades, and this area of study is becoming one of the main statistical tools for the analysis of lifetime (survival) data. In many ways, lifetime distributions are the common language of survival dialogue because the framework subsumes many statistical properties of interest, such as reliability, entropy and maximum likelihood.

Recent Advances in Lifetime and Reliability Models book provides a comprehensive account of models and methods for lifetime models. Building from primary definitions such as density and hazard rate functions, this book presents comprehensive framework on distribution theory in survival analysis. This framework covers classical methods - such as the exponentiated distribution method – as well as recent models explaining lifetime distributions, such as the beta family and compounding models. Additionally, a detailed discussion of mathematical and statistical properties of each family, such as mixture representations, asymptotes, types of moments, order statistics, quantile functions, generating functions and estimation is presented in the book.

Key Features:

- presents information about classical and modern lifetime methods

- covers key properties of different models in detail

- explores regression models for the beta generalized family of distributions

- focuses information on both theoretical fundamentals and practical aspects of implementing different models

- features examples relevant to business engineering and biomedical sciences

Recent Advances in Lifetime and Reliability Models will equip students, researchers and working professionals with the information to make extensive use of observational data in a variety of fields to create inferential models that make sense of lifetime data.


This book is, as far as I have gathered, the first book of its kind. The authors should be commended for spending countless hours researching the literature and explaining in details the connections between many different distributions published during the past decades. I believe there will be so many grateful researchers and readers who will have a broad perspective of all the interesting distributions presented in this manuscript. This book can serve as a foundation for those who are seriously interested in doing research in the field of distribution theory. The content of the book deals with a comprehensive treatment of methods for lifetime models, which has many practical applications in various fields. It seems to me, if one wants to do literature review of the published work in this area, all one needs to do is get hold of a copy of this book. In my opinion, this book is destined to be an extremely important source for motivating the younger researches in the field of distribution theory, in particular lifetime models. This captivated book represents a complete account of important distributions, their properties and their applications in various fields of applied sciences. I am sure that this book will serve as a unique and excellent source of information in the overall field of statistics and probability for many years to come. I admire the effort of the authors to come up with such a fantastic work.

G.G. Hamedani
Marquette University
Milwaukee, Wisconsin


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