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Book Nonparametric Maximum Likelihood Estimator Based on Doubly censored Data

Download or read book Nonparametric Maximum Likelihood Estimator Based on Doubly censored Data written by Ting Li and published by . This book was released on 1993 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Nonparametric Maximum Likelihood Estimation Based on Doubly censored Data

Download or read book Nonparametric Maximum Likelihood Estimation Based on Doubly censored Data written by Ding Li and published by . This book was released on 1993 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Nonparametric Maximum Likelihood Estimation of the Cumulative Distribution Function with Multivariate Interval Censored Data

Download or read book Nonparametric Maximum Likelihood Estimation of the Cumulative Distribution Function with Multivariate Interval Censored Data written by Xuecheng Liu and published by . This book was released on 2002 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This thesis addresses nonparametric maximal likelihood (NPML) estimation of the cumulative distribution function (CDF) given multivariate interval censored data (MILD). The methodology consists in applying graph theory to the intersection graph of censored data. The maximal cliques of this graph and their real representations contain all the information needed to find NPML estimates (NPMLE). In this thesis, a new algorithm to determine the maximal cliques of an MICD set is introduced. The concepts of diameter and semi-diameter of the polytope formed by all NPMLEs are introduced and simulation to investigate the properties of the non-uniqueness polytope of the CDF NPMLEs for bivariate censored data is described. Also, an a priori bounding technique for the total mass attributed to a set of maximal cliques by a self-consistent estimate of the CDF (including the NPMLE) is presented." --

Book On Nonparametric Estimation and Inference with Censored Data  Bandwidth Selection for Local Polynomial Regression  and Subset Selection in Explanatory Regression Analyses

Download or read book On Nonparametric Estimation and Inference with Censored Data Bandwidth Selection for Local Polynomial Regression and Subset Selection in Explanatory Regression Analyses written by Derick Randall Peterson and published by . This book was released on 1998 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Analysis of Doubly Truncated Data

Download or read book Analysis of Doubly Truncated Data written by Achim Dörre and published by Springer. This book was released on 2019-05-13 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to statistical methodologies used to analyze doubly truncated data. The first book exclusively dedicated to the topic, it provides likelihood-based methods, Bayesian methods, non-parametric methods, and linear regression methods. These procedures can be used to effectively analyze continuous data, especially survival data arising in biostatistics and economics. Because truncation is a phenomenon that is often encountered in non-experimental studies, the methods presented here can be applied to many branches of science. The book provides R codes for most of the statistical methods, to help readers analyze their data. Given its scope, the book is ideally suited as a textbook for students of statistics, mathematics, econometrics, and other fields.

Book The Statistical Analysis of Interval censored Failure Time Data

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 304 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.

Book Estimation for the Cox Model with Various Types of Censored Data

Download or read book Estimation for the Cox Model with Various Types of Censored Data written by Tonya Riddlesworth and published by . This book was released on 2011 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: In survival analysis, the Cox model is one of the most widely used tools. However, up to now there has not been any published work on the Cox model with complicated types of censored data, such as doubly censored data, partly-interval censored data, etc., while these types of censored data have been encountered in important medical studies, such as cancer, heart disease, diabetes, etc. In this dissertation, we first derive the bivariate nonparametric maximum likelihood estimator (BNPMLE) F̂subscript n](t, z) for joint distribution function F0(t, z) of survival time T and covariate Z, where T is subject to right censoring, noting that such BNPMLE F̂[subscript n] has not been studied in statistical literature. Then, based on this BNPMLE F̂[subscript n] we derive empirical likelihood-based (Owen, 1988) confidence interval for the conditional survival probabilities, which is an important and difficult problem in statistical analysis, and also has not been studied in literature. Finally, with this BNPMLE F̂[subscript n] as a starting point, we extend the weighted empirical likelihood method (Ren, 2001 and 2008a) to the multivariate case, and obtain a weighted empirical likelihood-based estimation method for the Cox model. Such estimation method is given in a unified form, and is applicable to various types of censored data aforementioned.

Book Nonparametric Maximum Penalized Likelihood Estimation of a Density from Arbitrarily Right Censored Observations

Download or read book Nonparametric Maximum Penalized Likelihood Estimation of a Density from Arbitrarily Right Censored Observations written by A. M. Lubecke and published by . This book was released on 1984 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on arbitrarily right-censored observations from a probability density function f deg the existence and uniqueness of the maximum penalized likelihood estimator (MPLE) of f deg is proven. In particular, the first MPLE of Good and Gaskins of a density defined on (0, infinity) is shown to exist and to be unique under arbitrary right-censorship. Furthermore, the MPLE is in the form of a solution to a linear integral equation. (Author).

Book Nonparametric Maximum Likelihood Estimators for Interval Censoring and Deconvolution

Download or read book Nonparametric Maximum Likelihood Estimators for Interval Censoring and Deconvolution written by Petrus Groeneboom (wiskunde.) and published by . This book was released on 1991 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Statistical Analysis of Doubly Truncated Data

Download or read book The Statistical Analysis of Doubly Truncated Data written by Jacobo de Uña-Álvarez and published by John Wiley & Sons. This book was released on 2021-11-10 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough treatment of the statistical methods used to analyze doubly truncated data In The Statistical Analysis of Doubly Truncated Data, an expert team of statisticians delivers an up-to-date review of existing methods used to deal with randomly truncated data, with a focus on the challenging problem of random double truncation. The authors comprehensively introduce doubly truncated data before moving on to discussions of the latest developments in the field. The book offers readers examples with R code along with real data from astronomy, engineering, and the biomedical sciences to illustrate and highlight the methods described within. Linear regression models for doubly truncated responses are provided and the influence of the bandwidth in the performance of kernel-type estimators, as well as guidelines for the selection of the smoothing parameter, are explored. Fully nonparametric and semiparametric estimators are explored and illustrated with real data. R code for reproducing the data examples is also provided. The book also offers: A thorough introduction to the existing methods that deal with randomly truncated data Comprehensive explorations of linear regression models for doubly truncated responses Practical discussions of the influence of bandwidth in the performance of kernel-type estimators and guidelines for the selection of the smoothing parameter In-depth examinations of nonparametric and semiparametric estimators Perfect for statistical professionals with some background in mathematical statistics, biostatisticians, and mathematicians with an interest in survival analysis and epidemiology, The Statistical Analysis of Doubly Truncated Data is also an invaluable addition to the libraries of biomedical scientists and practitioners, as well as postgraduate students studying survival analysis.

Book The Statistical Analysis of Interval censored Failure Time Data

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.

Book Nonparametric Maximum Likelihood Estimators for Interval Censoring and Deconvolution

Download or read book Nonparametric Maximum Likelihood Estimators for Interval Censoring and Deconvolution written by Stanford University. Department of Statistics and published by . This book was released on 1991 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Two New Algorithms for Nonparametric Analysis Given Incomplete Data

Download or read book Two New Algorithms for Nonparametric Analysis Given Incomplete Data written by Yunlei Zhang and published by . This book was released on 1997 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Unified Methods for Censored Longitudinal Data and Causality

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 2012-11-12 with total page 412 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.