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Author : Zhongwei Zhang
Publisher :
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.:/5 ( download)
Download or read book Estimation of Dependence Measures and Hazards from Bivariate Censored Data written by Zhongwei Zhang and published by . This book was released on 1996 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Son
Publisher :
ISBN 13 :
Total Pages : 103 pages
Book Rating : 4.:/5 (885 download)
Download or read book MULTIVARIATE POPULATION ATTRIBUTABLE HAZARD FUNCTION FOR RIGHT-CENSORED DATA written by Vladimir Son and published by . This book was released on 2013 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measuring the impact to different risk factors on a disease at the population level is an important issue in public health, which necessitates the use of Population Attributable Risk (PAR). Traditionally, methods estimating PAR have been focusing on case-control or cross-sectional studies. Although a method for estimation of PAR in cohort study that properly takes into account right-censoring time was proposed recently, the estimation of time-dependent PAR, however, has not been developed completely. In this dissertation, we explore the estimation problem of PAR with several risk factors or possible confounders for right-censored data. By partitioning the covariate space, we extend the method of attributable hazard function (AHF) to account for several risk factors. In the situation when individual AHF can be partially ordered, we develop new stepwise multiple comparisons procedure using the Partitioning Principle. The simulation study confirms the proof that the proposed procedure always strongly controls the familywise error rate. Another highlight of the dissertation focuses on the asymptotic distribution of AHF with the assumption that the distribution of a risk factor is time-independent, under Cox model. When there are confounding variables, the adjusted AHF based on the case-load weighting approach is also derived. The new proposed methods are applied to analyze real-life data set in the arthritis study.
Author : Jianguo Sun
Publisher : Springer Nature
ISBN 13 : 3031123662
Total Pages : 322 pages
Book Rating : 4.0/5 (311 download)
Download or read book Emerging Topics in Modeling Interval-Censored Survival Data written by Jianguo Sun and published by Springer Nature. This book was released on 2022-11-29 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book primarily aims to discuss emerging topics in statistical methods and to booster research, education, and training to advance statistical modeling on interval-censored survival data. Commonly collected from public health and biomedical research, among other sources, interval-censored survival data can easily be mistaken for typical right-censored survival data, which can result in erroneous statistical inference due to the complexity of this type of data. The book invites a group of internationally leading researchers to systematically discuss and explore the historical development of the associated methods and their computational implementations, as well as emerging topics related to interval-censored data. It covers a variety of topics, including univariate interval-censored data, multivariate interval-censored data, clustered interval-censored data, competing risk interval-censored data, data with interval-censored covariates, interval-censored data from electric medical records, and misclassified interval-censored data. Researchers, students, and practitioners can directly make use of the state-of-the-art methods covered in the book to tackle their problems in research, education, training and consultation.
Author : Takeshi Emura
Publisher : Springer
ISBN 13 : 9811071640
Total Pages : 94 pages
Book Rating : 4.8/5 (11 download)
Download or read book Analysis of Survival Data with Dependent Censoring written by Takeshi Emura and published by Springer. This book was released on 2018-04-05 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Li Hsu
Publisher :
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.:/5 (313 download)
Download or read book Estimating Equations for Marginal Hazard Ratio and Dependence Parameters for the Censored Multivariate Failure Time Data written by Li Hsu and published by . This book was released on 1994 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ding-Geng (Din) Chen
Publisher : CRC Press
ISBN 13 : 1466504250
Total Pages : 435 pages
Book Rating : 4.4/5 (665 download)
Download or read book Interval-Censored Time-to-Event Data written by Ding-Geng (Din) Chen and published by CRC Press. This book was released on 2012-07-19 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Divided into three parts, the book begins with an overview of interval-censored data modeling, including nonparametric estimation, survival functions, regression analysis, multivariate data analysis, competing risks analysis, and other models for interval-censored data. The next part presents interval-censored methods for current status data, Bayesian semiparametric regression analysis of interval-censored data with monotone splines, Bayesian inferential models for interval-censored data, an estimator for identifying causal effect of treatment, and consistent variance estimation for interval-censored data. In the final part, the contributors use Monte Carlo simulation to assess biases in progression-free survival analysis as well as correct bias in interval-censored time-to-event applications. They also present adaptive decision making methods to optimize the rapid treatment of stroke, explore practical issues in using weighted logrank tests, and describe how to use two R packages. A practical guide for biomedical researchers, clinicians, biostatisticians, and graduate students in biostatistics, this volume covers the latest developments in the analysis and modeling of interval-censored time-to-event data. It shows how up-to-date statistical methods are used in biopharmaceutical and public health applications.
Author : Will Chen
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (133 download)
Download or read book Hazard Rate Estimation Based on Censored Data and Measurement Error written by Will Chen and published by . This book was released on 2022 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivated from lung cancer study data, we consider a model is an observable variable and Z is a hidden variable contaminated in X = Z + E, where X X with a measurement error E. Such a model can also apply to studies in microfluorimetry, electrophoresis, biostatistics, and some other fields, where the measurements Z cannot be observed directly. The objective of this project is to estimate the hazard rate of the unobservable survival time Z in a lung cancer study. Assuming the additive measurement error E has a known distribution, we combine deconvolution kernel density estimation and inverse-probability of-censoring weighting methods to formulate a nonparametric hazard rate estimator based on random right-censored observations of X, when the distribution of X is unknown. Simulation studies show that the estimator performs well when sample sizes are relatively large.
Author : Mark J. van der Laan
Publisher : Springer Science & Business Media
ISBN 13 : 9780387955568
Total Pages : 424 pages
Book Rating : 4.9/5 (555 download)
Download or read book Unified Methods for Censored Longitudinal Data and Causality written by Mark J. van der Laan and published by Springer Science & Business Media. This book was released on 2003-01-14 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fundamental statistical framework for the analysis of complex longitudinal data is provided in this book. It provides the first comprehensive description of optimal estimation techniques based on time-dependent data structures. The techniques go beyond standard statistical approaches and can be used to teach masters and Ph.D. students. The text is ideally suitable for researchers in statistics with a strong interest in the analysis of complex longitudinal data.
Author : Kris Bogaerts
Publisher : CRC Press
ISBN 13 : 1420077481
Total Pages : 617 pages
Book Rating : 4.4/5 (2 download)
Download or read book Survival Analysis with Interval-Censored Data written by Kris Bogaerts and published by CRC Press. This book was released on 2017-11-20 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: Survival Analysis with Interval-Censored Data: A Practical Approach with Examples in R, SAS, and BUGS provides the reader with a practical introduction into the analysis of interval-censored survival times. Although many theoretical developments have appeared in the last fifty years, interval censoring is often ignored in practice. Many are unaware of the impact of inappropriately dealing with interval censoring. In addition, the necessary software is at times difficult to trace. This book fills in the gap between theory and practice. Features: -Provides an overview of frequentist as well as Bayesian methods. -Include a focus on practical aspects and applications. -Extensively illustrates the methods with examples using R, SAS, and BUGS. Full programs are available on a supplementary website. The authors: Kris Bogaerts is project manager at I-BioStat, KU Leuven. He received his PhD in science (statistics) at KU Leuven on the analysis of interval-censored data. He has gained expertise in a great variety of statistical topics with a focus on the design and analysis of clinical trials. Arnošt Komárek is associate professor of statistics at Charles University, Prague. His subject area of expertise covers mainly survival analysis with the emphasis on interval-censored data and classification based on longitudinal data. He is past chair of the Statistical Modelling Society and editor of Statistical Modelling: An International Journal. Emmanuel Lesaffre is professor of biostatistics at I-BioStat, KU Leuven. His research interests include Bayesian methods, longitudinal data analysis, statistical modelling, analysis of dental data, interval-censored data, misclassification issues, and clinical trials. He is the founding chair of the Statistical Modelling Society, past-president of the International Society for Clinical Biostatistics, and fellow of ISI and ASA.
Author : Jianguo Sun
Publisher : Springer
ISBN 13 : 0387371192
Total Pages : 310 pages
Book Rating : 4.3/5 (873 download)
Download or read book The Statistical Analysis of Interval-censored Failure Time Data written by Jianguo Sun and published by Springer. This book was released on 2007-05-26 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : John P. Klein
Publisher : CRC Press
ISBN 13 : 146655567X
Total Pages : 635 pages
Book Rating : 4.4/5 (665 download)
Download or read book Handbook of Survival Analysis written by John P. Klein and published by CRC Press. This book was released on 2016-04-19 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Mari Dominique Drouet Kotz Samuel
Publisher : World Scientific
ISBN 13 : 1860949754
Total Pages : 237 pages
Book Rating : 4.8/5 (69 download)
Download or read book Correlation and Dependence written by Mari Dominique Drouet Kotz Samuel and published by World Scientific. This book was released on 2001 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of dependence permeates the Earth and its inhabitants in a most profound manner. Examples of interdependent meteorological phenomena in nature and interdependence in the medical, social, and political aspects of our existence, not to mention the economic structures, are too numerous to be cited individually. Moreover, the dependence is obviously not deterministic but of a stochastic nature. However, it seems that none of the departments of statistics, engineering, economics and mathematics in the academic institutions throughout the world offer courses dealing with dependence concepts and measures . This book can thus be viewed as an attempt to remedy the situation, and it has been written for a graduate course or a seminar on correlation and dependence concepts and measures . A modest background in mathematical statistics and probability and integral calculus is required. The book is not a full-scale expedition up another statistical Alp. Rather, it is a tour over a somewhat neglected but important terrain. The chapter on correlation is written for a layman. Contents: Notations and Definitions; Correlation and Dependence: An Introspection; Concepts of Dependence and Stochastic Ordering; Copulas; FarlieOCoGumbelOCoMorgenstern Models of Dependence; Global Versus Local Dependence between Random Variables. Readership: Researchers and practitioners in the field of applied probability, statistics, biostatistics, industrial engineering and reliability."
Author : Man-Hua Chen
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (312 download)
Download or read book Statistical Analysis of Multivariate Interval-censored Failure Time Data written by Man-Hua Chen and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A voluminous literature on right-censored failure time data has been developed in the past 30 years. Due to advances in biomedical research, interval censoring has become increasingly common in medical follow-up studies. In these cases, each study subject is examined or observed periodically, thus the observed failure time falls into a certain interval. Additional problems arise in the analysis of multivariate interval-censored failure time data. These include the estimating the correlation among failure times. The first part of this dissertation considers regression analysis of multivariate interval-censored failure time data using the proportional odds model. One situation in which the proportional odds model is preferred is when the covariate effects diminish over time. In contrast, if the proportional hazards model is applied for the situation, one may have to deal with time-dependent covariates. We present an inference approach for fitting the model to multivariate interval-censored failure time data. Simulation studies are conducted and an AIDS clinical trial is analyzed by using this methodology. The second part of this dissertation is devoted to the additive hazards model for multivariate interval-censored failure time data. In many applications, the proportional hazards model may not be appropriate and the additive hazards model provides an important and useful alternative. The presented estimates of regression parameters are consistent and asymptotically normal and a robust estimate of their covariance matrix is given that takes into account the correlation of the survival variables. Simulation studies are conducted for practical situations. The third part of this dissertation discusses regression analysis of multivariate interval censored failure time data using the frailty model approach. Based on the most commonly used regression model, the proportional hazards model, the frailty model approach considers the random effect directly models the correlation between multivariate failure times. For the analysis, we will focus on current status or case I interval-censored data and the maximum likelihood approach is developed for inference. The simulation studies are conducted to asses and compare the finite-sample behaviors of the estimators and we apply the proposed method to an animal tumorigenicity experiment.
Author : Martin J. Crowder
Publisher : CRC Press
ISBN 13 : 1439875219
Total Pages : 420 pages
Book Rating : 4.4/5 (398 download)
Download or read book Multivariate Survival Analysis and Competing Risks written by Martin J. Crowder and published by CRC Press. This book was released on 2012-04-17 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate Survival Analysis and Competing Risks introduces univariate survival analysis and extends it to the multivariate case. It covers competing risks and counting processes and provides many real-world examples, exercises, and R code. The text discusses survival data, survival distributions, frailty models, parametric methods, multivariate data and distributions, copulas, continuous failure, parametric likelihood inference, and non- and semi-parametric methods. There are many books covering survival analysis, but very few that cover the multivariate case in any depth. Written for a graduate-level audience in statistics/biostatistics, this book includes practical exercises and R code for the examples. The author is renowned for his clear writing style, and this book continues that trend. It is an excellent reference for graduate students and researchers looking for grounding in this burgeoning field of research.
Author : Qingning Zhou
Publisher :
ISBN 13 :
Total Pages : 135 pages
Book Rating : 4.:/5 (965 download)
Download or read book Statistical Analysis of Bivariate Interval-censored Failure Time Data written by Qingning Zhou and published by . This book was released on 2015 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation deals with various issues in the statistical analysis of bivariate interval-censored failure time data, including regression analysis, model selection and estimation of the association between failure times. In particular, it includes three projects. The first project discusses regression analysis of bivariate current status data under the marginal proportional hazards model. For the problem, by using Bernstein polynomials and an unspecified copula model, we develop a sieve maximum likelihood estimation approach that applies to very general situations. In particular, it allows one to estimate the underlying copula model and can be easily implemented. The strong consistency, asymptotic normality and efficiency of the estimators of regression parameters are established. In the second project, we consider regression analysis of bivariate case II interval-censored data. For this problem, we present a class of semiparametric transformation models which is very flexible and in particular includes the commonly used proportional hazards model as a special case. Also, for inference, we develop a sieve maximum likelihood approach based on Bernstein polynomials. The strong consistency, asymptotic normality and efficiency of the resulting estimators of the regression parameters are established. In the third project, we consider the class of semiparametric copula-based models, in which multivariate survival functions are characterized by parametric copulas and nonparametric marginal survival functions. One important issue in applying this class of models to a given data set is how to choose an appropriate parametric copula. We propose two model selection procedures for Archimedean copulas with bivariate interval-censored data. The first procedure is based on a comparison of the nonparametric and model-based estimators of the probability integral transformation K, while the second procedure is based on a pseudo-likelihood function.
Author : N. Balakrishnan
Publisher : Springer Science & Business Media
ISBN 13 : 0387096140
Total Pages : 714 pages
Book Rating : 4.3/5 (87 download)
Download or read book Continuous Bivariate Distributions written by N. Balakrishnan and published by Springer Science & Business Media. This book was released on 2009-05-31 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: Along with a review of general developments relating to bivariate distributions, this volume also covers copulas, a subject which has grown immensely in recent years. In addition, it examines conditionally specified distributions and skewed distributions.
Author : Hongsheng Dai
Publisher : Academic Press
ISBN 13 : 0081010087
Total Pages : 104 pages
Book Rating : 4.0/5 (81 download)
Download or read book Analysis for Time-to-Event Data under Censoring and Truncation written by Hongsheng Dai and published by Academic Press. This book was released on 2016-10-06 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Survival Analysis for Bivariate Truncated Data provides readers with a comprehensive review on the existing works on survival analysis for truncated data, mainly focusing on the estimation of univariate and bivariate survival function. The most distinguishing feature of survival data is known as censoring, which occurs when the survival time can only be exactly observed within certain time intervals. A second feature is truncation, which is often deliberate and usually due to selection bias in the study design. Truncation presents itself in different ways. For example, left truncation, which is often due to a so-called late entry bias, occurs when individuals enter a study at a certain age and are followed from this delayed entry time. Right truncation arises when only individuals who experienced the event of interest before a certain time point can be observed. Analyzing truncated survival data without considering the potential selection bias may lead to seriously biased estimates of the time to event of interest and the impact of risk factors. - Assists statisticians, epidemiologists, medical researchers, and actuaries who need to understand the mechanism of selection bias - Reviews existing works on survival analysis for truncated data, mainly focusing on the estimation of univariate and bivariate survival function - Offers a guideline for analyzing truncated survival data
