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Mathematical Methods in Survival Analysis, Reliability and Quality of Life

Mathematical Methods in Survival Analysis, Reliability and Quality of Life
Author: Catherine Huber
Publisher: John Wiley & Sons
Total Pages: 294
Release: 2013-03-01
Genre: Mathematics
ISBN: 1118624114

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Reliability and survival analysis are important applications of stochastic mathematics (probability, statistics and stochastic processes) that are usually covered separately in spite of the similarity of the involved mathematical theory. This title aims to redress this situation: it includes 21 chapters divided into four parts: Survival analysis, Reliability, Quality of life, and Related topics. Many of these chapters were presented at the European Seminar on Mathematical Methods for Survival Analysis, Reliability and Quality of Life in 2006.


Lifetime Data: Models in Reliability and Survival Analysis

Lifetime Data: Models in Reliability and Survival Analysis
Author: Nicholas P. Jewell
Publisher: Springer Science & Business Media
Total Pages: 392
Release: 2013-04-17
Genre: Mathematics
ISBN: 1475756542

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Statistical models and methods for lifetime and other time-to-event data are widely used in many fields, including medicine, the environmental sciences, actuarial science, engineering, economics, management, and the social sciences. For example, closely related statistical methods have been applied to the study of the incubation period of diseases such as AIDS, the remission time of cancers, life tables, the time-to-failure of engineering systems, employment duration, and the length of marriages. This volume contains a selection of papers based on the 1994 International Research Conference on Lifetime Data Models in Reliability and Survival Analysis, held at Harvard University. The conference brought together a varied group of researchers and practitioners to advance and promote statistical science in the many fields that deal with lifetime and other time-to-event-data. The volume illustrates the depth and diversity of the field. A few of the authors have published their conference presentations in the new journal Lifetime Data Analysis (Kluwer Academic Publishers).


Parametric and Semiparametric Models with Applications to Reliability, Survival Analysis, and Quality of Life

Parametric and Semiparametric Models with Applications to Reliability, Survival Analysis, and Quality of Life
Author: M.S. Nikulin
Publisher: Springer Science & Business Media
Total Pages: 566
Release: 2013-11-11
Genre: Mathematics
ISBN: 0817682066

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Parametric and semiparametric models are tools with a wide range of applications to reliability, survival analysis, and quality of life. This self-contained volume examines these tools in survey articles written by experts currently working on the development and evaluation of models and methods. While a number of chapters deal with general theory, several explore more specific connections and recent results in "real-world" reliability theory, survival analysis, and related fields. Specific topics covered include: * cancer prognosis using survival forests * short-term health problems related to air pollution: analysis using semiparametric generalized additive models * semiparametric models in the studies of aging and longevity This book will be of use as a reference text for general statisticians, theoreticians, graduate students, reliability engineers, health researchers, and biostatisticians working in applied probability and statistics.


Statistical Models and Methods for Biomedical and Technical Systems

Statistical Models and Methods for Biomedical and Technical Systems
Author: Filia Vonta
Publisher: Springer Science & Business Media
Total Pages: 556
Release: 2008-03-05
Genre: Medical
ISBN: 0817646191

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This book deals with the mathematical aspects of survival analysis and reliability as well as other topics, reflecting recent developments in the following areas: applications in epidemiology; probabilistic and statistical models and methods in reliability; models and methods in survival analysis, longevity, aging, and degradation; accelerated life models; quality of life; new statistical challenges in genomics. The work will be useful to a broad interdisciplinary readership of researchers and practitioners in applied probability and statistics, industrial statistics, biomedicine, biostatistics, and engineering.


Survival Models and Data Analysis

Survival Models and Data Analysis
Author: Regina C. Elandt-Johnson
Publisher: John Wiley & Sons
Total Pages: 480
Release: 1999-02-22
Genre: Mathematics
ISBN: 9780471349921

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Survival analysis deals with the distribution of life times, essentially the times from an initiating event such as birth or the start of a job to some terminal event such as death or pension. This book, originally published in 1980, surveys and analyzes methods that use survival measurements and concepts, and helps readers apply the appropriate method for a given situation. Four broad sections cover introductions to data, univariate survival function, multiple-failure data, and advanced topics.


Life Time Data

Life Time Data
Author: J. V. Deshpande
Publisher: World Scientific Publishing Company
Total Pages: 264
Release: 2005
Genre: Business & Economics
ISBN:

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This book is meant for postgraduate modules that cover lifetime data in reliability and survival analysis as taught in statistics, engineering statistics and medical statistics courses. It is helpful for researchers who wish to choose appropriate models and methods for analyzing lifetime data. There is an extensive discussion on the concept and role of ageing in choosing appropriate models for lifetime data, with a special emphasis on tests of exponentiality. There are interesting contributions related to the topics of ageing, tests for exponentiality, competing risks and repairable systems. A special feature of this book is that it introduces the public domain R-software and explains how it can be used in computations of methods discussed in the book. Contents: Ageing; Some Parametric Families of Probability Distributions; Parametric Analysis of Survival Data; Nonparametric Estimation of the Survival Function; Tests of Exponentiality; Two Sample Nonparametric Problems; Proportional Hazards Model: A Method of Regression; Analysis of Competing Risks; Repairable Systems. Key Features Special emphasis on ageing and tests of exponentiality and their role in choosing appropriate models for lifetime data Extensive discussion of classical parametric and nonparametric models and relevant inference Documentation of new results in ageing, testing for competing risks and repairable systems Readership: Graduate students, academics and researchers in probability and statistics, industrial engineering, decision sciences and bioinformatics.


Statistical Methods for Quality of Life Studies

Statistical Methods for Quality of Life Studies
Author: Mounir Mesbah
Publisher: Springer Science & Business Media
Total Pages: 390
Release: 2002-08-31
Genre: Mathematics
ISBN: 9781402001420

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The volume presents a broad spectrum of papers which illustrates a range of current research related to the theory, methods and applications of health related quality of life (HRQoL) as well as the interdisciplinary nature of this work.


Survival Analysis

Survival Analysis
Author: Xian Liu
Publisher: John Wiley & Sons
Total Pages: 433
Release: 2012-06-13
Genre: Mathematics
ISBN: 1118307674

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Survival analysis concerns sequential occurrences of events governed by probabilistic laws. Recent decades have witnessed many applications of survival analysis in various disciplines. This book introduces both classic survival models and theories along with newly developed techniques. Readers will learn how to perform analysis of survival data by following numerous empirical illustrations in SAS. Survival Analysis: Models and Applications: Presents basic techniques before leading onto some of the most advanced topics in survival analysis. Assumes only a minimal knowledge of SAS whilst enabling more experienced users to learn new techniques of data input and manipulation. Provides numerous examples of SAS code to illustrate each of the methods, along with step-by-step instructions to perform each technique. Highlights the strengths and limitations of each technique covered. Covering a wide scope of survival techniques and methods, from the introductory to the advanced, this book can be used as a useful reference book for planners, researchers, and professors who are working in settings involving various lifetime events. Scientists interested in survival analysis should find it a useful guidebook for the incorporation of survival data and methods into their projects.


Stochastic Ageing and Dependence for Reliability

Stochastic Ageing and Dependence for Reliability
Author: Chin Diew Lai
Publisher: Springer Science & Business Media
Total Pages: 437
Release: 2006-09-24
Genre: Mathematics
ISBN: 038734232X

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This book provides a panoramic view of theory and applications of Ageing and Dependence in the use of mathematical methods in reliability and survival analysis. Ageing and dependence are important characteristics in reliability and survival analysis. They affect decisions with regard to maintenance, repair/replacement, price setting, warranties, medical studies, and other areas. Most of the works containing the topics covered here are theoretical in nature. However, this book offers applications, exercises, and examples. It serves as a reference for professors and researchers involved in reliability and survival analysis.


Mathematical and Statistical Methods in Reliability

Mathematical and Statistical Methods in Reliability
Author: Bo Lindqvist
Publisher: World Scientific
Total Pages: 569
Release: 2003
Genre: Mathematics
ISBN: 9812383212

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This book contains extended versions of carefully selected and reviewed papers presented at the Third International Conference on Mathematical Methods in Reliability, held in Norway in 2002. It provides an overview of current research activities in reliability theory. The authors are all leading experts in the field. Readership: Graduate students, academics and professionals in probability & statistics, reliability analysis, survival analysis, industrial engineering, software engineering, operations research and applied mathematics research.