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Recurrent Events Data Analysis for Product Repairs, Disease Recurrences, and Other Applications

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by Wayne B. Nelson


2002 / xii + 151 / Hardcover / ISBN: 978-0-898715-22-4 / List Price $116.00 / ASA-SIAM Member Price $81.20 / Order Code SA10

"The book is clearly written, to the point, and is easy to read. It is well suited for self-study by practitioners with introductory level background in statistics. It can also be used as a supplementary text in a graduate or upper level undergraduate course on reliability. I highly recommend this book to anyone interested in analysis of recurrence data." -- Necip Doganaksoy, Journal of Quality Technology, January 2003

Survival data consist of a single event for each population unit, namely, end of life, which is modeled with a life distribution. In contrast, many applications involve repeated-events data, where a unit may accumulate any number of events over time. Examples include the number and cost of repairs of products, the number and treatment costs of recurrent disease episodes in patients, and the number of childbirths to statisticians. This applied book provides practitioners with basic nonparametric methods for such data, particularly the plot of the estimate of the population mean cumulative function (MCF), which yields most of the information sought.

Recurrent Events Data Analysis for Product Repairs, Disease Recurrences, and Other Applications is the first book to present a simple, unified theory that includes data on costs or other "values" of discrete events, not just the number of events. It surveys computer programs that calculate and plot the MCF estimate with confidence limits, shows their output, and explains how to interpret such plots. Many such calculations can be easily done with a pocket calculator or spreadsheet program. Also, the book introduces basic Poisson and Cox regression models and parametric models, including homogeneous and nonhomogeneous Poisson processes and renewal processes.

This book is a needed addition to the literature, since suitable nonparametric models and data analyses for recurrent events appear in few books and much of the literature is too abstract for most practitioners who need such methodology. The intended audience for this book includes engineers, medical researchers, social scientists, statisticians, and other practitioners who encounter repeated events data. The only background needed is a basic statistics course. Previous knowledge of stochastic processes is not needed, as the simple presentation is self-contained.

Preface; Acknowledgements; Chapter 1: Recurrent Events Data and Applications; Chapter 2: Population Model, MCF, and Basic Concepts; Chapter 3: MCF Estimates for Exact Age Data; Chapter 4: MCF Confidence Limits for Exact Age Data; Chapter 5: MCF Estimate and Limits for Interval Age Data; Chapter 6: Analysis of a Mix of Events; Chapter 7: Comparison of Samples; Chapter 8: Survey of Related Topics; References; Index.

ISBN: 9780898715224

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