Survival Analysis Using Bivariate Archimedean Copulas

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Analysis of Survival Data with Dependent Censoring

Author : Takeshi Emura
Publisher : Springer
ISBN 13 : 9811071640
Total Pages : 94 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Analysis of Survival Data with Dependent Censoring by : Takeshi Emura

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.

Counting Processes and Survival Analysis

Author : Thomas R. Fleming
Publisher : John Wiley & Sons
ISBN 13 : 111815066X
Total Pages : 454 pages
Book Rating : 4.1/5 (181 download)

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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.

Handbook of Survival Analysis

Author : John P. Klein
Publisher : CRC Press
ISBN 13 : 146655567X
Total Pages : 635 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Handbook of Survival Analysis by : John P. Klein

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

Dependence Modeling

Author : Harry Joe
Publisher : World Scientific
ISBN 13 : 981429988X
Total Pages : 370 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Dependence Modeling by : Harry Joe

Download or read book Dependence Modeling written by Harry Joe and published by World Scientific. This book was released on 2011 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Introduction : Dependence modeling / D. Kurowicka -- 2. Multivariate copulae / M. Fischer -- 3. Vines arise / R.M. Cooke, H. Joe and K. Aas -- 4. Sampling count variables with specified Pearson correlation : A comparison between a naive and a C-vine sampling approach / V. Erhardt and C. Czado -- 5. Micro correlations and tail dependence / R.M. Cooke, C. Kousky and H. Joe -- 6. The Copula information criterion and Its implications for the maximum pseudo-likelihood estimator / S. Gronneberg -- 7. Dependence comparisons of vine copulae with four or more variables / H. Joe -- 8. Tail dependence in vine copulae / H. Joe -- 9. Counting vines / O. Morales-Napoles -- 10. Regular vines : Generation algorithm and number of equivalence classes / H. Joe, R.M. Cooke and D. Kurowicka -- 11. Optimal truncation of vines / D. Kurowicka -- 12. Bayesian inference for D-vines : Estimation and model selection / C. Czado and A. Min -- 13. Analysis of Australian electricity loads using joint Bayesian inference of D-vines with autoregressive margins / C. Czado, F. Gartner and A. Min -- 14. Non-parametric Bayesian belief nets versus vines / A. Hanea -- 15. Modeling dependence between financial returns using pair-copula constructions / K. Aas and D. Berg -- 16. Dynamic D-vine model / A. Heinen and A. Valdesogo -- 17. Summary and future directions / D. Kurowicka

Quasi-Likelihood And Its Application

Author : Christopher C. Heyde
Publisher : Springer Science & Business Media
ISBN 13 : 0387226796
Total Pages : 236 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Quasi-Likelihood And Its Application by : Christopher C. Heyde

Download or read book Quasi-Likelihood And Its Application written by Christopher C. Heyde and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first account in book form of all the essential features of the quasi-likelihood methodology, stressing its value as a general purpose inferential tool. The treatment is rather informal, emphasizing essential principles rather than detailed proofs, and readers are assumed to have a firm grounding in probability and statistics at the graduate level. Many examples of the use of the methods in both classical statistical and stochastic process contexts are provided.

Survival Analysis with Correlated Endpoints

Author : Takeshi Emura
Publisher : Springer
ISBN 13 : 9811335168
Total Pages : 126 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Survival Analysis with Correlated Endpoints by : Takeshi Emura

Download or read book Survival Analysis with Correlated Endpoints written by Takeshi Emura and published by Springer. This book was released on 2019-03-25 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to advanced statistical methods for analyzing survival data involving correlated endpoints. In particular, it describes statistical methods for applying Cox regression to two correlated endpoints by accounting for dependence between the endpoints with the aid of copulas. The practical advantages of employing copula-based models in medical research are explained on the basis of case studies. In addition, the book focuses on clustered survival data, especially data arising from meta-analysis and multicenter analysis. Consequently, the statistical approaches presented here employ a frailty term for heterogeneity modeling. This brings the joint frailty-copula model, which incorporates a frailty term and a copula, into a statistical model. The book also discusses advanced techniques for dealing with high-dimensional gene expressions and developing personalized dynamic prediction tools under the joint frailty-copula model. To help readers apply the statistical methods to real-world data, the book provides case studies using the authors’ original R software package (freely available in CRAN). The emphasis is on clinical survival data, involving time-to-tumor progression and overall survival, collected on cancer patients. Hence, the book offers an essential reference guide for medical statisticians and provides researchers with advanced, innovative statistical tools. The book also provides a concise introduction to basic multivariate survival models.

Copula Modeling

Author : Pravin K. Trivedi
Publisher : Now Publishers Inc
ISBN 13 : 1601980205
Total Pages : 126 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis Copula Modeling by : Pravin K. Trivedi

Download or read book Copula Modeling written by Pravin K. Trivedi and published by Now Publishers Inc. This book was released on 2007 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Copula Modeling explores the copula approach for econometrics modeling of joint parametric distributions. Copula Modeling demonstrates that practical implementation and estimation is relatively straightforward despite the complexity of its theoretical foundations. An attractive feature of parametrically specific copulas is that estimation and inference are based on standard maximum likelihood procedures. Thus, copulas can be estimated using desktop econometric software. This offers a substantial advantage of copulas over recently proposed simulation-based approaches to joint modeling. Copulas are useful in a variety of modeling situations including financial markets, actuarial science, and microeconometrics modeling. Copula Modeling provides practitioners and scholars with a useful guide to copula modeling with a focus on estimation and misspecification. The authors cover important theoretical foundations. Throughout, the authors use Monte Carlo experiments and simulations to demonstrate copula properties

An Introduction to Copulas

Author : Roger B. Nelsen
Publisher : Springer Science & Business Media
ISBN 13 : 1475730764
Total Pages : 227 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis An Introduction to Copulas by : Roger B. Nelsen

Download or read book An Introduction to Copulas written by Roger B. Nelsen and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Copulas are functions that join multivariate distribution functions to their one-dimensional margins. The study of copulas and their role in statistics is a new but vigorously growing field. In this book the student or practitioner of statistics and probability will find discussions of the fundamental properties of copulas and some of their primary applications. The applications include the study of dependence and measures of association, and the construction of families of bivariate distributions. With nearly a hundred examples and over 150 exercises, this book is suitable as a text or for self-study. The only prerequisite is an upper level undergraduate course in probability and mathematical statistics, although some familiarity with nonparametric statistics would be useful. Knowledge of measure-theoretic probability is not required. Roger B. Nelsen is Professor of Mathematics at Lewis & Clark College in Portland, Oregon. He is also the author of "Proofs Without Words: Exercises in Visual Thinking," published by the Mathematical Association of America.

Copulas and Stochastic Processes

Author : Volker Schmitz
Publisher :
ISBN 13 : 9783832212780
Total Pages : 110 pages
Book Rating : 4.2/5 (127 download)

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Book Synopsis Copulas and Stochastic Processes by : Volker Schmitz

Download or read book Copulas and Stochastic Processes written by Volker Schmitz and published by . This book was released on 2003 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Frailty Model

Author : Luc Duchateau
Publisher : Springer Science & Business Media
ISBN 13 : 038772835X
Total Pages : 329 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis The Frailty Model by : Luc Duchateau

Download or read book The Frailty Model written by Luc Duchateau and published by Springer Science & Business Media. This book was released on 2007-10-23 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Readers will find in the pages of this book a treatment of the statistical analysis of clustered survival data. Such data are encountered in many scientific disciplines including human and veterinary medicine, biology, epidemiology, public health and demography. A typical example is the time to death in cancer patients, with patients clustered in hospitals. Frailty models provide a powerful tool to analyze clustered survival data. In this book different methods based on the frailty model are described and it is demonstrated how they can be used to analyze clustered survival data. All programs used for these examples are available on the Springer website.

Continuous Bivariate Distributions

Author : N. Balakrishnan
Publisher : Springer Science & Business Media
ISBN 13 : 0387096140
Total Pages : 714 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis Continuous Bivariate Distributions by : N. Balakrishnan

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.

Multivariate Survival Analysis and Competing Risks

Author : Martin J. Crowder
Publisher : CRC Press
ISBN 13 : 1439875219
Total Pages : 420 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Multivariate Survival Analysis and Competing Risks by : Martin J. Crowder

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.

Estimation and Modeling in Bivariate Survival Analysis

Author : Weijing Wang
Publisher :
ISBN 13 :
Total Pages : 314 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Estimation and Modeling in Bivariate Survival Analysis by : Weijing Wang

Download or read book Estimation and Modeling in Bivariate Survival Analysis written by Weijing Wang and published by . This book was released on 1995 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analyzing Dependent Data with Vine Copulas

Author : Claudia Czado
Publisher : Springer
ISBN 13 : 3030137856
Total Pages : 261 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Analyzing Dependent Data with Vine Copulas by : Claudia Czado

Download or read book Analyzing Dependent Data with Vine Copulas written by Claudia Czado and published by Springer. This book was released on 2019-05-14 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a step-by-step introduction to the class of vine copulas, their statistical inference and applications. It focuses on statistical estimation and selection methods for vine copulas in data applications. These flexible copula models can successfully accommodate any form of tail dependence and are vital to many applications in finance, insurance, hydrology, marketing, engineering, chemistry, aviation, climatology and health. The book explains the pair-copula construction principles underlying these statistical models and discusses how to perform model selection and inference. It also derives simulation algorithms and presents real-world examples to illustrate the methodological concepts. The book includes numerous exercises that facilitate and deepen readers’ understanding, and demonstrates how the R package VineCopula can be used to explore and build statistical dependence models from scratch. In closing, the book provides insights into recent developments and open research questions in vine copula based modeling. The book is intended for students as well as statisticians, data analysts and any other quantitatively oriented researchers who are new to the field of vine copulas. Accordingly, it provides the necessary background in multivariate statistics and copula theory for exploratory data tools, so that readers only need a basic grasp of statistics and probability.

Elements of Copula Modeling with R

Author : Marius Hofert
Publisher : Springer
ISBN 13 : 3319896350
Total Pages : 274 pages
Book Rating : 4.3/5 (198 download)

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Book Synopsis Elements of Copula Modeling with R by : Marius Hofert

Download or read book Elements of Copula Modeling with R written by Marius Hofert and published by Springer. This book was released on 2019-01-09 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the main theoretical findings related to copulas and shows how statistical modeling of multivariate continuous distributions using copulas can be carried out in the R statistical environment with the package copula (among others). Copulas are multivariate distribution functions with standard uniform univariate margins. They are increasingly applied to modeling dependence among random variables in fields such as risk management, actuarial science, insurance, finance, engineering, hydrology, climatology, and meteorology, to name a few. In the spirit of the Use R! series, each chapter combines key theoretical definitions or results with illustrations in R. Aimed at statisticians, actuaries, risk managers, engineers and environmental scientists wanting to learn about the theory and practice of copula modeling using R without an overwhelming amount of mathematics, the book can also be used for teaching a course on copula modeling.

Multivariate Analysis

Author : Kanti V. Mardia
Publisher : John Wiley & Sons
ISBN 13 : 1118892518
Total Pages : 597 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Multivariate Analysis by : Kanti V. Mardia

Download or read book Multivariate Analysis written by Kanti V. Mardia and published by John Wiley & Sons. This book was released on 2024-06-10 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate Analysis Comprehensive Reference Work on Multivariate Analysis and its Applications The first edition of this book, by Mardia, Kent and Bibby, has been used globally for over 40 years. This second edition brings many topics up to date, with a special emphasis on recent developments. A wide range of material in multivariate analysis is covered, including the classical themes of multivariate normal theory, multivariate regression, inference, multidimensional scaling, factor analysis, cluster analysis and principal component analysis. The book also now covers modern developments such as graphical models, robust estimation, statistical learning, and high-dimensional methods. The book expertly blends theory and application, providing numerous worked examples and exercises at the end of each chapter. The reader is assumed to have a basic knowledge of mathematical statistics at an undergraduate level together with an elementary understanding of linear algebra. There are appendices which provide a background in matrix algebra, a summary of univariate statistics, a collection of statistical tables and a discussion of computational aspects. The work includes coverage of: Basic properties of random vectors, copulas, normal distribution theory, and estimation Hypothesis testing, multivariate regression, and analysis of variance Principal component analysis, factor analysis, and canonical correlation analysis Discriminant analysis, cluster analysis, and multidimensional scaling New advances and techniques, including supervised and unsupervised statistical learning, graphical models and regularization methods for high-dimensional data Although primarily designed as a textbook for final year undergraduates and postgraduate students in mathematics and statistics, the book will also be of interest to research workers and applied scientists.

Copula Theory and Its Applications

Author : Piotr Jaworski
Publisher : Springer Science & Business Media
ISBN 13 : 3642124658
Total Pages : 338 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Copula Theory and Its Applications by : Piotr Jaworski

Download or read book Copula Theory and Its Applications written by Piotr Jaworski and published by Springer Science & Business Media. This book was released on 2010-07-16 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Copulas are mathematical objects that fully capture the dependence structure among random variables and hence offer great flexibility in building multivariate stochastic models. Since their introduction in the early 50's, copulas have gained considerable popularity in several fields of applied mathematics, such as finance, insurance and reliability theory. Today, they represent a well-recognized tool for market and credit models, aggregation of risks, portfolio selection, etc. This book is divided into two main parts: Part I - "Surveys" contains 11 chapters that provide an up-to-date account of essential aspects of copula models. Part II - "Contributions" collects the extended versions of 6 talks selected from papers presented at the workshop in Warsaw.