Counting Processes and Survival Analysis: Fleming/Counting
Counting Processes and Survival Analysis: Fleming/Counting
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DOI：
10.1002/9781118150672
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发表时间：
2005-09
期刊：
影响因子：
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通讯作者：
T. Fleming;D. Harrington
中科院分区：
文献类型：
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作者：
T. Fleming;D. Harrington
Wiley-Interscience平装系列由精选的书籍组成，这些书籍已被消费者更容易获得，以增加全球吸引力和一般流通。有了这些新的未删节的软装卷，Wiley希望通过将这些作品提供给后代的统计学家、数学家和科学家来延长这些作品的生命。”这本书是对这一领域文献的宝贵补充。它是以一种雄心勃勃的数学风格写的，可以推荐给统计学家和生物统计学家。从数理统计的概率论到应用统计，并没有多少书能令人信服地结合这些主题。这是其中之一。这本书还有其他值得推荐的优点：它写得一丝不苟，风格清晰，用统计理论和实践中的例子说明了一般结果，以及一堆练习，以进一步阐明和阐述文本。《数学评论》这本书全面介绍了生存分析中的鞅和计数过程方法，从而填补了文献中的空白。-Zentralblatt f<e:1> r Mathematik und ihre Grenzgebiete/Mathematics Abstracts“作者以一种独立的、可访问的形式提供了这些材料，为研究人员提供了有价值的服务……本书是从事生存分析领域的概率学家或数理统计学家的必读读物。-短书评，国际统计研究所计数过程和生存分析探索计数过程统计分析的鞅方法，重点是将这些方法应用于审查故障时间数据。这种方法已经被证明是非常成功的，它产生了关于在审查数据中产生的许多问题的统计方法的结果。对鞅的演算以及这些方法在截尾数据中的最重要应用进行了全面的讨论。此外，本书探讨了经典问题的渐进分布理论的计数过程方法和更新的方法，图形分析和诊断审查的数据。练习包括提供实践应用鞅方法和洞察微积分本身。
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.