Empirical Likelihood
Title | Empirical Likelihood PDF eBook |
Author | Art B. Owen |
Publisher | CRC Press |
Pages | 322 |
Release | 2001-05-18 |
Genre | Mathematics |
ISBN | 1420036157 |
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 Methods in Biomedicine and Health
Title | Empirical Likelihood Methods in Biomedicine and Health PDF eBook |
Author | Albert Vexler |
Publisher | CRC Press |
Pages | 300 |
Release | 2018-09-03 |
Genre | Mathematics |
ISBN | 1351001515 |
Empirical Likelihood Methods in Biomedicine and Health provides a compendium of nonparametric likelihood statistical techniques in the perspective of health research applications. It includes detailed descriptions of the theoretical underpinnings of recently developed empirical likelihood-based methods. The emphasis throughout is on the application of the methods to the health sciences, with worked examples using real data. Provides a systematic overview of novel empirical likelihood techniques. Presents a good balance of theory, methods, and applications. Features detailed worked examples to illustrate the application of the methods. Includes R code for implementation. The book material is attractive and easily understandable to scientists who are new to the research area and may attract statisticians interested in learning more about advanced nonparametric topics including various modern empirical likelihood methods. The book can be used by graduate students majoring in biostatistics, or in a related field, particularly for those who are interested in nonparametric methods with direct applications in Biomedicine.
Empirical Likelihood Method in Survival Analysis
Title | Empirical Likelihood Method in Survival Analysis PDF eBook |
Author | Mai Zhou |
Publisher | CRC Press |
Pages | 221 |
Release | 2015-06-17 |
Genre | Mathematics |
ISBN | 1466554932 |
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.
Finite Mixture Models
Title | Finite Mixture Models PDF eBook |
Author | Geoffrey McLachlan |
Publisher | John Wiley & Sons |
Pages | 419 |
Release | 2004-03-22 |
Genre | Mathematics |
ISBN | 047165406X |
An up-to-date, comprehensive account of major issues in finitemixture modeling This volume provides an up-to-date account of the theory andapplications of modeling via finite mixture distributions. With anemphasis on the applications of mixture models in both mainstreamanalysis and other areas such as unsupervised pattern recognition,speech recognition, and medical imaging, the book describes theformulations of the finite mixture approach, details itsmethodology, discusses aspects of its implementation, andillustrates its application in many common statisticalcontexts. Major issues discussed in this book include identifiabilityproblems, actual fitting of finite mixtures through use of the EMalgorithm, properties of the maximum likelihood estimators soobtained, assessment of the number of components to be used in themixture, and the applicability of asymptotic theory in providing abasis for the solutions to some of these problems. The author alsoconsiders how the EM algorithm can be scaled to handle the fittingof mixture models to very large databases, as in data miningapplications. This comprehensive, practical guide: * Provides more than 800 references-40% published since 1995 * Includes an appendix listing available mixture software * Links statistical literature with machine learning and patternrecognition literature * Contains more than 100 helpful graphs, charts, and tables Finite Mixture Models is an important resource for both applied andtheoretical statisticians as well as for researchers in the manyareas in which finite mixture models can be used to analyze data.
Empirical Likelihood Methods in Biomedicine and Health
Title | Empirical Likelihood Methods in Biomedicine and Health PDF eBook |
Author | Albert Vexler |
Publisher | CRC Press |
Pages | 149 |
Release | 2018-09-03 |
Genre | Mathematics |
ISBN | 1351001507 |
Empirical Likelihood Methods in Biomedicine and Health provides a compendium of nonparametric likelihood statistical techniques in the perspective of health research applications. It includes detailed descriptions of the theoretical underpinnings of recently developed empirical likelihood-based methods. The emphasis throughout is on the application of the methods to the health sciences, with worked examples using real data. Provides a systematic overview of novel empirical likelihood techniques. Presents a good balance of theory, methods, and applications. Features detailed worked examples to illustrate the application of the methods. Includes R code for implementation. The book material is attractive and easily understandable to scientists who are new to the research area and may attract statisticians interested in learning more about advanced nonparametric topics including various modern empirical likelihood methods. The book can be used by graduate students majoring in biostatistics, or in a related field, particularly for those who are interested in nonparametric methods with direct applications in Biomedicine.
Contemporary Multivariate Analysis and Design of Experiments
Title | Contemporary Multivariate Analysis and Design of Experiments PDF eBook |
Author | Kaitai Fang |
Publisher | World Scientific |
Pages | 470 |
Release | 2005 |
Genre | Mathematics |
ISBN | 9812567763 |
Index. Subject index -- Author index
Empirical Bayes and Likelihood Inference
Title | Empirical Bayes and Likelihood Inference PDF eBook |
Author | S.E. Ahmed |
Publisher | Springer Science & Business Media |
Pages | 260 |
Release | 2001 |
Genre | Mathematics |
ISBN | 9780387950181 |
Bayesian and such approaches to inference have a number of points of close contact, especially from an asymptotic point of view. Both emphasize the construction of interval estimates of unknown parameters. In this volume, researchers present recent work on several aspects of Bayesian, likelihood and empirical Bayes methods, presented at a workshop held in Montreal, Canada. The goal of the workshop was to explore the linkages among the methods, and to suggest new directions for research in the theory of inference.