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Hazard Rate Estimation For Censored Data Via Strong Representation Of The Kaplan Meier Estimator
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Book Synopsis Hazard Rate Estimation for Censored Data Via Strong Representation of the Kaplan-Meier Estimator by : S. H. Lo
Download or read book Hazard Rate Estimation for Censored Data Via Strong Representation of the Kaplan-Meier Estimator written by S. H. Lo and published by . This book was released on 1985 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: This document studies the estimation of a hazard rate function based on censored data by the kernel smoothing method. Our technique is facilitated by a recent result of Lo and Singh (1984) which establishes a strong uniform approximation of the Kaplan-Meier estimator by an average of independent random variables. Pointwise and uniform strong consistency are derived, as well as the mean squared error expression and asymptotic normality, which is obtained using a more traditional method, as compared with the Hajek projection employed by Tanner and Wong (1983). (Author).
Book Synopsis Flexible Nonparametric Curve Estimation by : Hassan Doosti
Download or read book Flexible Nonparametric Curve Estimation written by Hassan Doosti and published by Springer Nature. This book was released on with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Completing the Kaplan-Meier Estimator when There is Extreme Right Censoring by : Qin He
Download or read book Completing the Kaplan-Meier Estimator when There is Extreme Right Censoring written by Qin He and published by . This book was released on 1997 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Methods in Survival Analysis, Reliability and Quality of Life by : Catherine Huber
Download or read book Mathematical Methods in Survival Analysis, Reliability and Quality of Life written by Catherine Huber and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Analysis of Censored Data by : Hira L. Koul
Download or read book Analysis of Censored Data written by Hira L. Koul and published by IMS. This book was released on 1995 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Survival Analysis by : Narayanaswamy Balakrishnan
Download or read book Advances in Survival Analysis written by Narayanaswamy Balakrishnan and published by Elsevier. This book was released on 2004-01-30 with total page 823 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Statistics: Advances in Survival Analysis covers all important topics in the area of Survival Analysis. Each topic has been covered by one or more chapters written by internationally renowned experts. Each chapter provides a comprehensive and up-to-date review of the topic. Several new illustrative examples have been used to demonstrate the methodologies developed. The book also includes an exhaustive list of important references in the area of Survival Analysis. - Includes up-to-date reviews on many important topics - Chapters written by many internationally renowned experts - Some Chapters provide completely new methodologies and analyses - Includes some new data and methods of analyzing them
Book Synopsis Mathematical Statistics and Applications by : Marc Moore
Download or read book Mathematical Statistics and Applications written by Marc Moore and published by IMS. This book was released on 2003 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Statistical Analysis of Interval-censored Failure Time Data by : Jianguo Sun
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 Synopsis Survival Analysis by : John P. Klein
Download or read book Survival Analysis written by John P. Klein and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Point Processes and Their Statistical Inference by : Alan Karr
Download or read book Point Processes and Their Statistical Inference written by Alan Karr and published by Routledge. This book was released on 2017-09-06 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maintaining the excellent features that made the first edition so popular, this outstanding reference/text presents the only comprehensive treatment of the theory of point processes and statistical inference for point processes-highlighting both pointprocesses on the real line and sp;,.tial point processes. Thoroughly updated and revised to reflect changes since publication of the firstedition, the expanded Second EdiLion now contains a better organized and easierto-understand treatment of stationary point processes ... expanded treatment ofthe multiplicative intensity model ... expanded treatment of survival analysis . ..broadened consideration of applications ... an expanded and extended bibliographywith over 1,000 references ... and more than 3('() end-of-chapter exercises.
Book Synopsis Hazard Rate Estimation Based on Censored Data and Measurement Error by : Will Chen
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.
Book Synopsis On Kernel Density Estimation for Censored Data by : Kagba Nkrumah Suaray
Download or read book On Kernel Density Estimation for Censored Data written by Kagba Nkrumah Suaray and published by . This book was released on 2004 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Recent Advances In Biostatistics: False Discovery Rates, Survival Analysis, And Related Topics by : Manish C Bhattacharjee
Download or read book Recent Advances In Biostatistics: False Discovery Rates, Survival Analysis, And Related Topics written by Manish C Bhattacharjee and published by World Scientific. This book was released on 2011-03-18 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume provides self-contained accounts of some recent trends in Biostatistics methodology and their applications. It includes state-of-the-art reviews and original contributions.The articles included in this volume are based on a careful selection of peer-reviewed papers, authored by eminent experts in the field, representing a well balanced mix of researchers from the academia, R&D sectors of government and the pharmaceutical industry.The book is also intended to give advanced graduate students and new researchers a scholarly overview of several research frontiers in biostatistics, which they can use to further advance the field through development of new techniques and results.
Book Synopsis Encyclopedia of Statistical Sciences, Volume 3 by :
Download or read book Encyclopedia of Statistical Sciences, Volume 3 written by and published by John Wiley & Sons. This book was released on 2005-12-16 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: ENCYCLOPEDIA OF STATISTICAL SCIENCES
Book Synopsis Counting Processes and Survival Analysis by : Thomas R. Fleming
Download or read book Counting Processes and Survival Analysis written by Thomas R. Fleming and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. "The book is a valuable completion of the literature in this field. It is written in an ambitious mathematical style and can be recommended to statisticians as well as biostatisticians." -Biometrische Zeitschrift "Not many books manage to combine convincingly topics from probability theory over mathematical statistics to applied statistics. This is one of them. The book has other strong points to recommend it: it is written with meticulous care, in a lucid style, general results being illustrated by examples from statistical theory and practice, and a bunch of exercises serve to further elucidate and elaborate on the text." -Mathematical Reviews "This book gives a thorough introduction to martingale and counting process methods in survival analysis thereby filling a gap in the literature." -Zentralblatt für Mathematik und ihre Grenzgebiete/Mathematics Abstracts "The authors have performed a valuable service to researchers in providing this material in [a] self-contained and accessible form. . . This text [is] essential reading for the probabilist or mathematical statistician working in the area of survival analysis." -Short Book Reviews, International Statistical Institute Counting Processes and Survival Analysis explores the martingale approach to the statistical analysis of counting processes, with an emphasis on the application of those methods to censored failure time data. This approach has proven remarkably successful in yielding results about statistical methods for many problems arising in censored data. A thorough treatment of the calculus of martingales as well as the most important applications of these methods to censored data is offered. Additionally, the book examines classical problems in asymptotic distribution theory for counting process methods and newer methods for graphical analysis and diagnostics of censored data. Exercises are included to provide practice in applying martingale methods and insight into the calculus itself.
Book Synopsis Nonlinear Wavelet-based Nonparametric Curve Estimation with Censored Data and Inference on Long Memory Processes by : Linyuan Li
Download or read book Nonlinear Wavelet-based Nonparametric Curve Estimation with Censored Data and Inference on Long Memory Processes written by Linyuan Li and published by . This book was released on 2002 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Efficiency Loss with the Kaplan-Meier Estimator by : Myles Hollander
Download or read book Efficiency Loss with the Kaplan-Meier Estimator written by Myles Hollander and published by . This book was released on 1985 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider the proportional hazards model where the distribution G of the censoring random variable is related to the distribution F of the lifetime random variable via (1 - G)=(1 - F) to the beta power. Nonparametric estimators of F are developed for the case where beta is unknown and the case where beta is known. Of interest in their own right, these estimators also enable us to study the robustness of the Kaplan-Meier estimator (KME) in a nonparametric model for which it is not the preferred estimator. Comparisons are based on asymptotic efficiencies and exact mean square errors. We also compare the KME to the empirical survival function, thereby providing, in a nonparametric setting, a measure of the loss in efficiency due to the presence of censoring. Keywords: Censored model; Kaplan-Meier estimator; Proportional hazards.
