On The Application Of The Theory Of Counting Processes In The Statistical Analysis Of Censored Survival Data

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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.

Statistical Analysis of Counting Processes

Author : M. Jacobsen
Publisher : Springer Science & Business Media
ISBN 13 : 146846275X
Total Pages : 235 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Statistical Analysis of Counting Processes by : M. Jacobsen

Download or read book Statistical Analysis of Counting Processes written by M. Jacobsen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: A first version of these lecture notes was prepared for a course given in 1980 at the University of Copenhagen to a class of graduate students in mathematical statistics. A thorough revision has led to the result presented here. The main topic of the notes is the theory of multiplicative intens ity models for counting processes, first introduced by Odd Aalen in his Ph.D. thesis from Berkeley 1975, and in a subsequent fundamental paper in the Annals of Statistics 1978. In Copenhagen the interest in statistics on counting processes was sparked by a visit by Odd Aalen in 1976. At present the activities here are centered around Niels Keiding and his group at the Statistical Re search Unit. The Aalen theory is a fine example of how advanced probability theory may be used to develop a povlerful, and for applications very re levant, statistical technique. Aalen's work relies quite heavily on the 'theorie generale des processus' developed primarily by the French school of probability the ory. But the general theory aims at much more general and profound re sults, than what is required to deal with objects of such a relatively simple structure as counting processes on the line. Since also this process theory is virtually inaccessible to non-probabilists, it would appear useful to have an account of what Aalen has done, that includes exactly the amount of probability required to deal satisfactorily and rigorously with statistical models for counting processes.

Statistical Models Based on Counting Processes

Author : Per K. Andersen
Publisher : Springer Science & Business Media
ISBN 13 : 1461243483
Total Pages : 779 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Statistical Models Based on Counting Processes by : Per K. Andersen

Download or read book Statistical Models Based on Counting Processes written by Per K. Andersen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 779 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern survival analysis and more general event history analysis may be effectively handled within the mathematical framework of counting processes. This book presents this theory, which has been the subject of intense research activity over the past 15 years. The exposition of the theory is integrated with careful presentation of many practical examples, drawn almost exclusively from the authors'own experience, with detailed numerical and graphical illustrations. Although Statistical Models Based on Counting Processes may be viewed as a research monograph for mathematical statisticians and biostatisticians, almost all the methods are given in concrete detail for use in practice by other mathematically oriented researchers studying event histories (demographers, econometricians, epidemiologists, actuarial mathematicians, reliability engineers and biologists). Much of the material has so far only been available in the journal literature (if at all), and so a wide variety of researchers will find this an invaluable survey of the subject.

The Statistical Analysis of Interval-censored Failure Time Data

Author : Jianguo Sun
Publisher : Springer
ISBN 13 : 0387371192
Total Pages : 310 pages
Book Rating : 4.3/5 (873 download)

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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.

Survival Analysis

Author : John Crowley
Publisher : IMS
ISBN 13 : 9780940600027
Total Pages : 316 pages
Book Rating : 4.6/5 ( download)

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Book Synopsis Survival Analysis by : John Crowley

Download or read book Survival Analysis written by John Crowley and published by IMS. This book was released on 1982 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Survival and Event History Analysis

Author : Odd Aalen
Publisher : Springer Science & Business Media
ISBN 13 : 038768560X
Total Pages : 550 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Survival and Event History Analysis by : Odd Aalen

Download or read book Survival and Event History Analysis written by Odd Aalen and published by Springer Science & Business Media. This book was released on 2008-09-16 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to bridge the gap between standard textbook models and a range of models where the dynamic structure of the data manifests itself fully. The common denominator of such models is stochastic processes. The authors show how counting processes, martingales, and stochastic integrals fit very nicely with censored data. Beginning with standard analyses such as Kaplan-Meier plots and Cox regression, the presentation progresses to the additive hazard model and recurrent event data. Stochastic processes are also used as natural models for individual frailty; they allow sensible interpretations of a number of surprising artifacts seen in population data. The stochastic process framework is naturally connected to causality. The authors show how dynamic path analyses can incorporate many modern causality ideas in a framework that takes the time aspect seriously. To make the material accessible to the reader, a large number of practical examples, mainly from medicine, are developed in detail. Stochastic processes are introduced in an intuitive and non-technical manner. The book is aimed at investigators who use event history methods and want a better understanding of the statistical concepts. It is suitable as a textbook for graduate courses in statistics and biostatistics.

Analysis of Censored Data

Author : Hira L. Koul
Publisher : IMS
ISBN 13 : 9780940600393
Total Pages : 310 pages
Book Rating : 4.6/5 (3 download)

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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:

Statistical Methods for Survival Trial Design

Author : Jianrong Wu
Publisher : CRC Press
ISBN 13 : 0429892942
Total Pages : 275 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Statistical Methods for Survival Trial Design by : Jianrong Wu

Download or read book Statistical Methods for Survival Trial Design written by Jianrong Wu and published by CRC Press. This book was released on 2018-06-14 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Methods for Survival Trial Design: With Applications to Cancer Clinical Trials Using R provides a thorough presentation of the principles of designing and monitoring cancer clinical trials in which time-to-event is the primary endpoint. Traditional cancer trial designs with time-to-event endpoints are often limited to the exponential model or proportional hazards model. In practice, however, those model assumptions may not be satisfied for long-term survival trials. This book is the first to cover comprehensively the many newly developed methodologies for survival trial design, including trial design under the Weibull survival models; extensions of the sample size calculations under the proportional hazard models; and trial design under mixture cure models, complex survival models, Cox regression models, and competing-risk models. A general sequential procedure based on the sequential conditional probability ratio test is also implemented for survival trial monitoring. All methodologies are presented with sufficient detail for interested researchers or graduate students.

The Statistical Analysis of Failure Time Data

Author : John D. Kalbfleisch
Publisher : John Wiley & Sons
ISBN 13 : 1118031237
Total Pages : 462 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis The Statistical Analysis of Failure Time Data by : John D. Kalbfleisch

Download or read book The Statistical Analysis of Failure Time Data written by John D. Kalbfleisch and published by John Wiley & Sons. This book was released on 2011-01-25 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains additional discussion and examples on left truncationas well as material on more general censoring and truncationpatterns. Introduces the martingale and counting process formulation swillbe in a new chapter. Develops multivariate failure time data in a separate chapterand extends the material on Markov and semi Markovformulations. Presents new examples and applications of data analysis.

Statistical Inference from Stochastic Processes

Author : Narahari Umanath Prabhu
Publisher : American Mathematical Soc.
ISBN 13 : 0821850873
Total Pages : 406 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Statistical Inference from Stochastic Processes by : Narahari Umanath Prabhu

Download or read book Statistical Inference from Stochastic Processes written by Narahari Umanath Prabhu and published by American Mathematical Soc.. This book was released on 1988 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprises the proceedings of the AMS-IMS-SIAM Summer Research Conference on Statistical Inference from Stochastic Processes, held at Cornell University in August 1987. This book provides students and researchers with a familiarity with the foundations of inference from stochastic processes and intends to provide a knowledge of the developments.

Methods and Applications of Statistics in Clinical Trials, Volume 2

Author : Narayanaswamy Balakrishnan
Publisher : John Wiley & Sons
ISBN 13 : 1118595963
Total Pages : 953 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Methods and Applications of Statistics in Clinical Trials, Volume 2 by : Narayanaswamy Balakrishnan

Download or read book Methods and Applications of Statistics in Clinical Trials, Volume 2 written by Narayanaswamy Balakrishnan and published by John Wiley & Sons. This book was released on 2014-06-16 with total page 953 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods and Applications of Statistics in Clinical Trials, Volume 2: Planning, Analysis, and Inferential Methods includes updates of established literature from the Wiley Encyclopedia of Clinical Trials as well as original material based on the latest developments in clinical trials. Prepared by a leading expert, the second volume includes numerous contributions from current prominent experts in the field of medical research. In addition, the volume features: • Multiple new articles exploring emerging topics, such as evaluation methods with threshold, empirical likelihood methods, nonparametric ROC analysis, over- and under-dispersed models, and multi-armed bandit problems • Up-to-date research on the Cox proportional hazard model, frailty models, trial reports, intrarater reliability, conditional power, and the kappa index • Key qualitative issues including cost-effectiveness analysis, publication bias, and regulatory issues, which are crucial to the planning and data management of clinical trials

Machine Learning in Insurance

Author : Jens Perch Nielsen
Publisher : MDPI
ISBN 13 : 3039364472
Total Pages : 260 pages
Book Rating : 4.0/5 (393 download)

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Book Synopsis Machine Learning in Insurance by : Jens Perch Nielsen

Download or read book Machine Learning in Insurance written by Jens Perch Nielsen and published by MDPI. This book was released on 2020-12-02 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Machine learning is a relatively new field, without a unanimous definition. In many ways, actuaries have been machine learners. In both pricing and reserving, but also more recently in capital modelling, actuaries have combined statistical methodology with a deep understanding of the problem at hand and how any solution may affect the company and its customers. One aspect that has, perhaps, not been so well developed among actuaries is validation. Discussions among actuaries’ “preferred methods” were often without solid scientific arguments, including validation of the case at hand. Through this collection, we aim to promote a good practice of machine learning in insurance, considering the following three key issues: a) who is the client, or sponsor, or otherwise interested real-life target of the study? b) The reason for working with a particular data set and a clarification of the available extra knowledge, that we also call prior knowledge, besides the data set alone. c) A mathematical statistical argument for the validation procedure.

Semimartingales and their Statistical Inference

Author : B.L.S. Prakasa Rao
Publisher : Routledge
ISBN 13 : 1351416928
Total Pages : 684 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Semimartingales and their Statistical Inference by : B.L.S. Prakasa Rao

Download or read book Semimartingales and their Statistical Inference written by B.L.S. Prakasa Rao and published by Routledge. This book was released on 2019-01-15 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical inference carries great significance in model building from both the theoretical and the applications points of view. Its applications to engineering and economic systems, financial economics, and the biological and medical sciences have made statistical inference for stochastic processes a well-recognized and important branch of statistics and probability. The class of semimartingales includes a large class of stochastic processes, including diffusion type processes, point processes, and diffusion type processes with jumps, widely used for stochastic modeling. Until now, however, researchers have had no single reference that collected the research conducted on the asymptotic theory for semimartingales. Semimartingales and their Statistical Inference, fills this need by presenting a comprehensive discussion of the asymptotic theory of semimartingales at a level needed for researchers working in the area of statistical inference for stochastic processes. The author brings together into one volume the state-of-the-art in the inferential aspect for such processes. The topics discussed include: Asymptotic likelihood theory Quasi-likelihood Likelihood and efficiency Inference for counting processes Inference for semimartingale regression models The author addresses a number of stochastic modeling applications from engineering, economic systems, financial economics, and medical sciences. He also includes some of the new and challenging statistical and probabilistic problems facing today's active researchers working in the area of inference for stochastic processes.

Applied Nonparametric Statistical Methods, Fourth Edition

Author : Peter Sprent
Publisher : CRC Press
ISBN 13 : 158488701X
Total Pages : 541 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Applied Nonparametric Statistical Methods, Fourth Edition by : Peter Sprent

Download or read book Applied Nonparametric Statistical Methods, Fourth Edition written by Peter Sprent and published by CRC Press. This book was released on 2007-03-06 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: While preserving the clear, accessible style of previous editions, Applied Nonparametric Statistical Methods, Fourth Edition reflects the latest developments in computer-intensive methods that deal with intractable analytical problems and unwieldy data sets. Reorganized and with additional material, this edition begins with a brief summary of some relevant general statistical concepts and an introduction to basic ideas of nonparametric or distribution-free methods. Designed experiments, including those with factorial treatment structures, are now the focus of an entire chapter. The text also expands coverage on the analysis of survival data and the bootstrap method. The new final chapter focuses on important modern developments, such as large sample methods and computer-intensive applications. Keeping mathematics to a minimum, this text introduces nonparametric methods to undergraduate students who are taking either mainstream statistics courses or statistics courses within other disciplines. By giving the proper attention to data collection and the interpretation of analyses, it provides a full introduction to nonparametric methods.

Engineering Asset Management

Author : Dimitris Kiritsis
Publisher : Springer Science & Business Media
ISBN 13 : 0857293206
Total Pages : 997 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Engineering Asset Management by : Dimitris Kiritsis

Download or read book Engineering Asset Management written by Dimitris Kiritsis and published by Springer Science & Business Media. This book was released on 2011-02-03 with total page 997 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineering Asset Management discusses state-of-the-art trends and developments in the emerging field of engineering asset management as presented at the Fourth World Congress on Engineering Asset Management (WCEAM). It is an excellent reference for practitioners, researchers and students in the multidisciplinary field of asset management, covering such topics as asset condition monitoring and intelligent maintenance; asset data warehousing, data mining and fusion; asset performance and level-of-service models; design and life-cycle integrity of physical assets; deterioration and preservation models for assets; education and training in asset management; engineering standards in asset management; fault diagnosis and prognostics; financial analysis methods for physical assets; human dimensions in integrated asset management; information quality management; information systems and knowledge management; intelligent sensors and devices; maintenance strategies in asset management; optimisation decisions in asset management; risk management in asset management; strategic asset management; and sustainability in asset management.

Research in Progress

Author :
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Research in Progress by :

Download or read book Research in Progress written by and published by . This book was released on 1988 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Methods and Applications of Statistics in the Life and Health Sciences

Author : Narayanaswamy Balakrishnan
Publisher : John Wiley & Sons
ISBN 13 : 0470405090
Total Pages : 1027 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Methods and Applications of Statistics in the Life and Health Sciences by : Narayanaswamy Balakrishnan

Download or read book Methods and Applications of Statistics in the Life and Health Sciences written by Narayanaswamy Balakrishnan and published by John Wiley & Sons. This book was released on 2009-12-02 with total page 1027 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inspired by the Encyclopedia of Statistical Sciences, Second Edition, this volume outlines the statistical tools for successfully working with modern life and health sciences research Data collection holds an essential part in dictating the future of health sciences and public health, as the compilation of statistics allows researchers and medical practitioners to monitor trends in health status, identify health problems, and evaluate the impact of health policies and programs. Methods and Applications of Statistics in the Life and Health Sciences serves as a single, one-of-a-kind resource on the wide range of statistical methods, techniques, and applications that are applied in modern life and health sciences in research. Specially designed to present encyclopedic content in an accessible and self-contained format, this book outlines thorough coverage of the underlying theory and standard applications to research in related disciplines such as biology, epidemiology, clinical trials, and public health. Uniquely combining established literature with cutting-edge research, this book contains classical works and more than twenty-five new articles and completely revised contributions from the acclaimed Encyclopedia of Statistical Sciences, Second Edition. The result is a compilation of more than eighty articles that explores classic methodology and new topics, including: Sequential methods in biomedical research Statistical measures of human quality of life Change-point methods in genetics Sample size determination for clinical trials Mixed-effects regression models for predicting pre-clinical disease Probabilistic and statistical models for conception Statistical methods are explored and applied to population growth, disease detection and treatment, genetic and genomic research, drug development, clinical trials, screening and prevention, and the assessment of rehabilitation, recovery, and quality of life. These topics are explored in contributions written by more than 100 leading academics, researchers, and practitioners who utilize various statistical practices, such as election bias, survival analysis, missing data techniques, and cluster analysis for handling the wide array of modern issues in the life and health sciences. With its combination of traditional methodology and newly developed research, Methods and Applications of Statistics in the Life and Health Sciences has everything students, academics, and researchers in the life and health sciences need to build and apply their knowledge of statistical methods and applications.