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Estimation and Goodness-of-Fit in the Case of Randomly Censored LifetimeData

Estimation and Goodness-of-Fit in the Case of Randomly Censored LifetimeData
Author: David Reineke
Publisher:
Total Pages: 216
Release: 1999-06-01
Genre:
ISBN: 9781423544746

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A new continuous distribution function estimator for randomly censored data is developed, discussed, and compared to existing estimators. Minimum distance estimation is shown to be effective in estimating Weibull location parameters when random censoring is present. A method of estimating all3 parameters of the 3-parameter Weibull distribution using a combination of minimum distance and maximum likelihood is also given. Cramer-von Mises and Anderson-Darling goodness-of-fit test statistics are modified to measure the discrepancy between the maximum likelihood estimate and the Kaplan-Meier product-limit estimate of the distribution function of the random variable of interest. These modified test statistics are used to construct goodness-of-fit tests for the exponential, Weibull (shape 2), and Weibull (shape 3.5) distributions when the censoring distribution is assumed to be exponential. Percentage points are obtained via Monte Carlo simulation. More generally, elements of competing risks theory are used to build goodness-of-fit tests usingcrude lifetimes. For tests based on crude lifetimes, the assumption of an exponentially distributed censoring variable and special estimation techniques are no longer required. Further, complete sample goodness-of-fit techniques may be used, bringing much more flexibility to goodness-of-fit testing when samples are randomly right-censored.


Nonparametric Tests for Censored Data

Nonparametric Tests for Censored Data
Author: Vilijandas Bagdonavicius
Publisher: John Wiley & Sons
Total Pages: 162
Release: 2013-02-07
Genre: Mathematics
ISBN: 1118602137

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This book concerns testing hypotheses in non-parametric models. Generalizations of many non-parametric tests to the case of censored and truncated data are considered. Most of the test results are proved and real applications are illustrated using examples. Theories and exercises are provided. The incorrect use of many tests applying most statistical software is highlighted and discussed.


Interval-Censored Time-to-Event Data

Interval-Censored Time-to-Event Data
Author: Ding-Geng (Din) Chen
Publisher: CRC Press
Total Pages: 426
Release: 2012-07-19
Genre: Mathematics
ISBN: 1466504285

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Interval-Censored Time-to-Event Data: Methods and Applications collects the most recent techniques, models, and computational tools for interval-censored time-to-event data. Top biostatisticians from academia, biopharmaceutical industries, and government agencies discuss how these advances are impacting clinical trials and biomedical research.Divid


The Statistical Analysis of Interval-censored Failure Time Data

The Statistical Analysis of Interval-censored Failure Time Data
Author: Jianguo Sun
Publisher: Springer
Total Pages: 304
Release: 2007-05-26
Genre: Mathematics
ISBN: 0387371192

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This book collects and unifies statistical models and methods that have been proposed for analyzing interval-censored failure time data. It provides the first comprehensive coverage of the topic of interval-censored data and complements the books on right-censored data. The focus of the book is on nonparametric and semiparametric inferences, but it also describes parametric and imputation approaches. This book provides an up-to-date reference for people who are conducting research on the analysis of interval-censored failure time data as well as for those who need to analyze interval-censored data to answer substantive questions.


Statistical Models and Methods for Lifetime Data

Statistical Models and Methods for Lifetime Data
Author: Jerald F. Lawless
Publisher: John Wiley & Sons
Total Pages: 662
Release: 2011-01-25
Genre: Mathematics
ISBN: 1118031253

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Praise for the First Edition "An indispensable addition to any serious collection on lifetime data analysis and . . . a valuable contribution to the statistical literature. Highly recommended . . ." -Choice "This is an important book, which will appeal to statisticians working on survival analysis problems." -Biometrics "A thorough, unified treatment of statistical models and methods used in the analysis of lifetime data . . . this is a highly competent and agreeable statistical textbook." -Statistics in Medicine The statistical analysis of lifetime or response time data is a key tool in engineering, medicine, and many other scientific and technological areas. This book provides a unified treatment of the models and statistical methods used to analyze lifetime data. Equally useful as a reference for individuals interested in the analysis of lifetime data and as a text for advanced students, Statistical Models and Methods for Lifetime Data, Second Edition provides broad coverage of the area without concentrating on any single field of application. Extensive illustrations and examples drawn from engineering and the biomedical sciences provide readers with a clear understanding of key concepts. New and expanded coverage in this edition includes: * Observation schemes for lifetime data * Multiple failure modes * Counting process-martingale tools * Both special lifetime data and general optimization software * Mixture models * Treatment of interval-censored and truncated data * Multivariate lifetimes and event history models * Resampling and simulation methodology


Lifetime Data: Statistical Models And Methods (Second Edition)

Lifetime Data: Statistical Models And Methods (Second Edition)
Author: Jayant V Deshpande
Publisher: World Scientific Publishing Company
Total Pages: 302
Release: 2015-12-15
Genre: Mathematics
ISBN: 9814730688

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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.This new edition includes new sections on Frailty Models and Accelerated Life Time Models. Many more illustrations and exercises are also included.


The Statistical Analysis of Multivariate Failure Time Data

The Statistical Analysis of Multivariate Failure Time Data
Author: Ross L. Prentice
Publisher: CRC Press
Total Pages: 110
Release: 2019-05-14
Genre: Mathematics
ISBN: 0429529708

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The Statistical Analysis of Multivariate Failure Time Data: A Marginal Modeling Approach provides an innovative look at methods for the analysis of correlated failure times. The focus is on the use of marginal single and marginal double failure hazard rate estimators for the extraction of regression information. For example, in a context of randomized trial or cohort studies, the results go beyond that obtained by analyzing each failure time outcome in a univariate fashion. The book is addressed to researchers, practitioners, and graduate students, and can be used as a reference or as a graduate course text. Much of the literature on the analysis of censored correlated failure time data uses frailty or copula models to allow for residual dependencies among failure times, given covariates. In contrast, this book provides a detailed account of recently developed methods for the simultaneous estimation of marginal single and dual outcome hazard rate regression parameters, with emphasis on multiplicative (Cox) models. Illustrations are provided of the utility of these methods using Women’s Health Initiative randomized controlled trial data of menopausal hormones and of a low-fat dietary pattern intervention. As byproducts, these methods provide flexible semiparametric estimators of pairwise bivariate survivor functions at specified covariate histories, as well as semiparametric estimators of cross ratio and concordance functions given covariates. The presentation also describes how these innovative methods may extend to handle issues of dependent censorship, missing and mismeasured covariates, and joint modeling of failure times and covariates, setting the stage for additional theoretical and applied developments. This book extends and continues the style of the classic Statistical Analysis of Failure Time Data by Kalbfleisch and Prentice. Ross L. Prentice is Professor of Biostatistics at the Fred Hutchinson Cancer Research Center and University of Washington in Seattle, Washington. He is the recipient of COPSS Presidents and Fisher awards, the AACR Epidemiology/Prevention and Team Science awards, and is a member of the National Academy of Medicine. Shanshan Zhao is a Principal Investigator at the National Institute of Environmental Health Sciences in Research Triangle Park, North Carolina.


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).


Design and Analysis of Clinical Trials with Time-to-Event Endpoints

Design and Analysis of Clinical Trials with Time-to-Event Endpoints
Author: Karl E. Peace
Publisher: CRC Press
Total Pages: 618
Release: 2009-04-23
Genre: Mathematics
ISBN: 1420066404

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Using time-to-event analysis methodology requires careful definition of the event, censored observation, provision of adequate follow-up, number of events, and independence or "noninformativeness" of the censoring mechanisms relative to the event. Design and Analysis of Clinical Trials with Time-to-Event Endpoints provides a thorough presentation o