Description: This book on the statistical analysis of life expectancy focuses on history, research achievements, and recent developments in statistical inference on quantile residual lifetime.
Purpose: The purpose is to introduce the basic concepts needed to investigate the properties of the quantile (residual life) as well as provide an overview of statistical methods developed to infer the mean residual life. This book will help users in learning the theory and application of the quantile (residual life) function and provide future research directions.
Audience: The intended audience includes graduate students and researchers both in academia and in industry who are interested in learning the theory and application of the residual life function. The author is an elected member of the International Statistical Institute and has research interests in survival analysis and clinical trials.
Features: The first of the book's chapters describes the basic concepts needed to investigate properties of residual life function, before focusing on the various statistical methods developed to infer the mean residual life function in chapter 2. Chapter 3 further describes methods which have been recently developed to infer the mean residual life. Chapter 4 further elaborates on the results in the previous chapter. Chapter 5 focuses on alternative approaches based on empiric likelihood and chapter 6 teaches study design based on quantile (residual life). The author uses numerical examples and sample cases with small datasets to help readers quickly grasp the concepts and learn application of the concepts.
Assessment: This book does an excellent job of presenting the basic concepts of residual life with various statistical methods, including recently developed methods, to infer the mean residual life as well as alternatives to this approach with easy-to-understand numerical examples and sample cases. This book is strongly recommended to beginning researchers and statistician who are interested in learning the theory and application of the residual life function.