Likelihood Ratio Confidence Bands in Nonparametric Regression with Censored Data

Likelihood Ratio Confidence Bands in Nonparametric Regression with Censored Data PDF Author: Gang Li
Publisher:
ISBN:
Category :
Languages : en
Pages : 22

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Likelihood Ratio Confidence Bands in Nonparametric Regression with Censored Data

Likelihood Ratio Confidence Bands in Nonparametric Regression with Censored Data PDF Author: Gang Li
Publisher:
ISBN:
Category :
Languages : en
Pages : 22

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Empirical Likelihood

Empirical Likelihood PDF Author: Art B. Owen
Publisher: CRC Press
ISBN: 1420036157
Category : Mathematics
Languages : en
Pages : 322

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Book Description
Empirical likelihood provides inferences whose validity does not depend on specifying a parametric model for the data. Because it uses a likelihood, the method has certain inherent advantages over resampling methods: it uses the data to determine the shape of the confidence regions, and it makes it easy to combined data from multiple sources. It al

Empirical Likelihood Method in Survival Analysis

Empirical Likelihood Method in Survival Analysis PDF Author: Mai Zhou
Publisher: CRC Press
ISBN: 1466554932
Category : Mathematics
Languages : en
Pages : 221

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Book Description
Empirical Likelihood Method in Survival Analysis explains how to use the empirical likelihood method for right censored survival data. The author uses R for calculating empirical likelihood and includes many worked out examples with the associated R code. The datasets and code are available for download on his website and CRAN. The book focuses on all the standard survival analysis topics treated with empirical likelihood, including hazard functions, cumulative distribution functions, analysis of the Cox model, and computation of empirical likelihood for censored data. It also covers semi-parametric accelerated failure time models, the optimality of confidence regions derived from empirical likelihood or plug-in empirical likelihood ratio tests, and several empirical likelihood confidence band results. While survival analysis is a classic area of statistical study, the empirical likelihood methodology has only recently been developed. Until now, just one book was available on empirical likelihood and most statistical software did not include empirical likelihood procedures. Addressing this shortfall, this book provides the functions to calculate the empirical likelihood ratio in survival analysis as well as functions related to the empirical likelihood analysis of the Cox regression model and other hazard regression models.

Missing and Modified Data in Nonparametric Estimation

Missing and Modified Data in Nonparametric Estimation PDF Author: Sam Efromovich
Publisher: CRC Press
ISBN: 135167983X
Category : Mathematics
Languages : en
Pages : 867

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Book Description
This book presents a systematic and unified approach for modern nonparametric treatment of missing and modified data via examples of density and hazard rate estimation, nonparametric regression, filtering signals, and time series analysis. All basic types of missing at random and not at random, biasing, truncation, censoring, and measurement errors are discussed, and their treatment is explained. Ten chapters of the book cover basic cases of direct data, biased data, nondestructive and destructive missing, survival data modified by truncation and censoring, missing survival data, stationary and nonstationary time series and processes, and ill-posed modifications. The coverage is suitable for self-study or a one-semester course for graduate students with a prerequisite of a standard course in introductory probability. Exercises of various levels of difficulty will be helpful for the instructor and self-study. The book is primarily about practically important small samples. It explains when consistent estimation is possible, and why in some cases missing data should be ignored and why others must be considered. If missing or data modification makes consistent estimation impossible, then the author explains what type of action is needed to restore the lost information. The book contains more than a hundred figures with simulated data that explain virtually every setting, claim, and development. The companion R software package allows the reader to verify, reproduce and modify every simulation and used estimators. This makes the material fully transparent and allows one to study it interactively. Sam Efromovich is the Endowed Professor of Mathematical Sciences and the Head of the Actuarial Program at the University of Texas at Dallas. He is well known for his work on the theory and application of nonparametric curve estimation and is the author of Nonparametric Curve Estimation: Methods, Theory, and Applications. Professor Sam Efromovich is a Fellow of the Institute of Mathematical Statistics and the American Statistical Association.

Confidence Intervals in Generalized Regression Models

Confidence Intervals in Generalized Regression Models PDF Author: Esa Uusipaikka
Publisher: CRC Press
ISBN: 1420060384
Category : Mathematics
Languages : en
Pages : 328

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Book Description
A Cohesive Approach to Regression Models Confidence Intervals in Generalized Regression Models introduces a unified representation-the generalized regression model (GRM)-of various types of regression models. It also uses a likelihood-based approach for performing statistical inference from statistical evidence consisting of data a

Contemporary Multivariate Analysis and Design of Experiments

Contemporary Multivariate Analysis and Design of Experiments PDF Author: Kaitai Fang
Publisher: World Scientific
ISBN: 9812567763
Category : Mathematics
Languages : en
Pages : 470

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Book Description
Index. Subject index -- Author index

Nonparametric Statistical Methods For Complete and Censored Data

Nonparametric Statistical Methods For Complete and Censored Data PDF Author: M.M. Desu
Publisher: CRC Press
ISBN: 9781584883197
Category : Mathematics
Languages : en
Pages : 392

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Book Description
Balancing the "cookbook" approach of some texts with the more mathematical approach of others, Nonparametric Statistical Methods for Complete and Censored Data introduces commonly used non-parametric methods for complete data and extends those methods to right censored data analysis. Whenever possible, the authors derive their methodology from the general theory of statistical inference and introduce the concepts intuitively for students with minimal backgrounds. Derivations and mathematical details are relegated to appendices at the end of each chapter, which allows students to easily proceed through each chapter without becoming bogged down in a lot of mathematics. In addition to the nonparametric methods for analyzing complete and censored data, the book covers optimal linear rank statistics, clinical equivalence, analysis of block designs, and precedence tests. To make the material more accessible and practical, the authors use SAS programs to illustrate the various methods included. Exercises in each chapter, SAS code, and a clear, accessible presentation make this an outstanding text for a one-semester senior or graduate-level course in nonparametric statistics for students in a variety of disciplines, from statistics and biostatistics to business, psychology, and the social scientists. Prerequisites: Students will need a solid background in calculus and a two-semester course in mathematical statistics.

Nonparametric Statistical Methods

Nonparametric Statistical Methods PDF Author: Myles Hollander
Publisher: John Wiley & Sons
ISBN: 1118553292
Category : Mathematics
Languages : en
Pages : 872

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Book Description
Praise for the Second Edition “This book should be an essential part of the personal library of every practicing statistician.”—Technometrics Thoroughly revised and updated, the new edition of Nonparametric Statistical Methods includes additional modern topics and procedures, more practical data sets, and new problems from real-life situations. The book continues to emphasize the importance of nonparametric methods as a significant branch of modern statistics and equips readers with the conceptual and technical skills necessary to select and apply the appropriate procedures for any given situation. Written by leading statisticians, Nonparametric Statistical Methods, Third Edition provides readers with crucial nonparametric techniques in a variety of settings, emphasizing the assumptions underlying the methods. The book provides an extensive array of examples that clearly illustrate how to use nonparametric approaches for handling one- or two-sample location and dispersion problems, dichotomous data, and one-way and two-way layout problems. In addition, the Third Edition features: The use of the freely available R software to aid in computation and simulation, including many new R programs written explicitly for this new edition New chapters that address density estimation, wavelets, smoothing, ranked set sampling, and Bayesian nonparametrics Problems that illustrate examples from agricultural science, astronomy, biology, criminology, education, engineering, environmental science, geology, home economics, medicine, oceanography, physics, psychology, sociology, and space science Nonparametric Statistical Methods, Third Edition is an excellent reference for applied statisticians and practitioners who seek a review of nonparametric methods and their relevant applications. The book is also an ideal textbook for upper-undergraduate and first-year graduate courses in applied nonparametric statistics.

Analysis of Censored Data

Analysis of Censored Data PDF Author: Hira L. Koul
Publisher: IMS
ISBN: 9780940600393
Category : Censored observations (Statistics)
Languages : en
Pages : 310

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Likelihood Ratio Based Confidence Bands in Survival Analysis

Likelihood Ratio Based Confidence Bands in Survival Analysis PDF Author: Jie Yang
Publisher:
ISBN:
Category : Confidence intervals
Languages : en
Pages : 114

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