The Analysis Of Clustered Survival Data With Dependent Censoring
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Author | : Xuelin Huang |
Publisher | : |
Total Pages | : 212 |
Release | : 2002 |
Genre | : |
ISBN | : |
Download The Analysis of Clustered Survival Data with Dependent Censoring Book in PDF, Epub and Kindle
Author | : Takeshi Emura |
Publisher | : Springer |
Total Pages | : 94 |
Release | : 2018-04-05 |
Genre | : Medical |
ISBN | : 9811071640 |
Download Analysis of Survival Data with Dependent Censoring Book in PDF, Epub and Kindle
This book introduces readers to copula-based statistical methods for analyzing survival data involving dependent censoring. Primarily focusing on likelihood-based methods performed under copula models, it is the first book solely devoted to the problem of dependent censoring. The book demonstrates the advantages of the copula-based methods in the context of medical research, especially with regard to cancer patients’ survival data. Needless to say, the statistical methods presented here can also be applied to many other branches of science, especially in reliability, where survival analysis plays an important role. The book can be used as a textbook for graduate coursework or a short course aimed at (bio-) statisticians. To deepen readers’ understanding of copula-based approaches, the book provides an accessible introduction to basic survival analysis and explains the mathematical foundations of copula-based survival models.
Author | : John P. Klein |
Publisher | : CRC Press |
Total Pages | : 635 |
Release | : 2016-04-19 |
Genre | : Mathematics |
ISBN | : 146655567X |
Download Handbook of Survival Analysis Book in PDF, Epub and Kindle
Handbook of Survival Analysis presents modern techniques and research problems in lifetime data analysis. This area of statistics deals with time-to-event data that is complicated by censoring and the dynamic nature of events occurring in time. With chapters written by leading researchers in the field, the handbook focuses on advances in survival analysis techniques, covering classical and Bayesian approaches. It gives a complete overview of the current status of survival analysis and should inspire further research in the field. Accessible to a wide range of readers, the book provides: An introduction to various areas in survival analysis for graduate students and novices A reference to modern investigations into survival analysis for more established researchers A text or supplement for a second or advanced course in survival analysis A useful guide to statistical methods for analyzing survival data experiments for practicing statisticians
Author | : Rupert G. Miller, Jr. |
Publisher | : John Wiley & Sons |
Total Pages | : 254 |
Release | : 2011-01-25 |
Genre | : Mathematics |
ISBN | : 1118031067 |
Download Survival Analysis Book in PDF, Epub and Kindle
A concise summary of the statistical methods used in the analysis of survival data with censoring. Emphasizes recently developed nonparametric techniques. Outlines methods in detail and illustrates them with actual data. Discusses the theory behind each method. Includes numerous worked problems and numerical exercises.
Author | : D.R. Cox |
Publisher | : CRC Press |
Total Pages | : 216 |
Release | : 1984-06-01 |
Genre | : Mathematics |
ISBN | : 9780412244902 |
Download Analysis of Survival Data Book in PDF, Epub and Kindle
This monograph contains many ideas on the analysis of survival data to present a comprehensive account of the field. The value of survival analysis is not confined to medical statistics, where the benefit of the analysis of data on such factors as life expectancy and duration of periods of freedom from symptoms of a disease as related to a treatment applied individual histories and so on, is obvious. The techniques also find important applications in industrial life testing and a range of subjects from physics to econometrics. In the eleven chapters of the book the methods and applications of are discussed and illustrated by examples.
Author | : Yu-Ru Su |
Publisher | : |
Total Pages | : |
Release | : 2011 |
Genre | : |
ISBN | : 9781267029829 |
Download Survival Analysis for Incomplete Data Book in PDF, Epub and Kindle
There is a surge in medical follow-up studies that include longitudinal covariates in the modeling of survival data. So far, the focus has been largely on right censored survival data. In the first part of my dissertation, we consider survival data that are subject to both left truncation and right censoring. Left truncation is well known to produce biased sample. The sampling bias issue has been resolved in the literature for the case which involves baseline or time-varying covariates that are observable. The problem remains open however for the important case where longitudinal covariates are present in survival models. A joint likelihood approach has been shown in the literature to provide an effective way to overcome those difficulties for right censored data, but this approach faces substantial additional challenges in the presence of left truncation. Here we thus propose an alternative likelihood to overcome these difficulties and show that the regression coefficient in the survival component can be estimated unbiasedly and efficiently. Issues about the bias for the longitudinal component are discussed. The new approach is illustrated numerically through simulations and data from a multi-center AIDS cohort study. In the second part, we investigate frailty models for clustered survival data which are subject to both left- and right-censoring. The classical proportional hazards model encounters difficulties when the independent assumption among subjects is violated, e.g. when familial data are observed. Under a frailty model, a frailty variable is often included to account for the associations of event-times within a cluster. The majority of the literature are devoted to clustered survival data subject to right-censoring. Here we consider a more complicated scenario with the presence of double censoring as defined in Turnbull (1974). We developed the estimating procedure through the likelihood approach and the associate large sample theory for both the parametric and nonparametric estimates. The parametric estimates are shown to be semi-parametrically efficient as well. A modified EM algorithm is proposed to resolve the challenges in the EM-algorithm and shown numerically to perform satisfactorily. The new procedure is applied to a study of Hepatitis B virus infection.
Author | : Torben Martinussen |
Publisher | : Springer Science & Business Media |
Total Pages | : 471 |
Release | : 2007-11-24 |
Genre | : Medical |
ISBN | : 0387339604 |
Download Dynamic Regression Models for Survival Data Book in PDF, Epub and Kindle
This book studies and applies modern flexible regression models for survival data with a special focus on extensions of the Cox model and alternative models with the aim of describing time-varying effects of explanatory variables. Use of the suggested models and methods is illustrated on real data examples, using the R-package timereg developed by the authors, which is applied throughout the book with worked examples for the data sets.
Author | : John P. Klein |
Publisher | : Springer Science & Business Media |
Total Pages | : 508 |
Release | : 2013-06-29 |
Genre | : Medical |
ISBN | : 1475727283 |
Download Survival Analysis Book in PDF, Epub and Kindle
Making complex methods more accessible to applied researchers without an advanced mathematical background, the authors present the essence of new techniques available, as well as classical techniques, and apply them to data. Practical suggestions for implementing the various methods are set off in a series of practical notes at the end of each section, while technical details of the derivation of the techniques are sketched in the technical notes. This book will thus be useful for investigators who need to analyse censored or truncated life time data, and as a textbook for a graduate course in survival analysis, the only prerequisite being a standard course in statistical methodology.
Author | : Luc Duchateau |
Publisher | : Springer Science & Business Media |
Total Pages | : 329 |
Release | : 2007-10-23 |
Genre | : Mathematics |
ISBN | : 038772835X |
Download The Frailty Model Book in PDF, Epub and Kindle
Readers will find in the pages of this book a treatment of the statistical analysis of clustered survival data. Such data are encountered in many scientific disciplines including human and veterinary medicine, biology, epidemiology, public health and demography. A typical example is the time to death in cancer patients, with patients clustered in hospitals. Frailty models provide a powerful tool to analyze clustered survival data. In this book different methods based on the frailty model are described and it is demonstrated how they can be used to analyze clustered survival data. All programs used for these examples are available on the Springer website.
Author | : Megan Kay Diane Othus |
Publisher | : |
Total Pages | : 186 |
Release | : 2009 |
Genre | : |
ISBN | : |
Download Survival Analysis with Complex Censoring Mechanisms with Applications in Population-based Studies and Clinical Trials Book in PDF, Epub and Kindle
Population-based studies and clinical trials provide many interesting methodological problems that render important policy implications as well as better explainations of disease progression processes. This thesis is to answer three such questions. Trends in United States cancer survival motivated a statistical method for survival data that may be subject to dependent censoring in disease populations that may contain a portion of long-term cancer surviors. Prostate cancer trends motivated work on a survival model for populations that may have long-term survivors and that exhibit a change-point effect in important covariates or predictors. Finally, a clinical trial on childhood acute lymphoblastic leukemia motivated work on a survival model for clustered data that explicitly models the correlation of failure times but also allows for population-level interpretation of survival parameters.