稀疏完全随机测度及其在竞争风险模型中的应用

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-02-01 DOI:10.3150/21-bej1361

J. Lau, E. Cripps

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引用次数: 4

摘要

在竞争风险模型的背景下，我们对多变量强度的稀疏完全随机测度6（CRM）的核混合物进行了后验分析。稀疏CRM的构造7是从常见的泊松随机测度导出的，该泊松随机测度在其强度中包括稀疏概率，并且可转移到用于后验分析的现有泊松分配演算结果9（James 20022005）。我们推导了后验稀疏CRM，为稀疏CRM生成的变量和分区提供了Blackwell和MacQueen Pólya urn公式以及（加权）Chi11 nese-restaurant过程的10个推广，12我们概述了进一步发展蒙特卡罗模拟进行估计的策略。13

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Thinned completely random measures with applications in competing risks models

We present a posterior analysis of kernel mixtures of thinned completely random measures 6 (CRMs) for multivariate intensities, in the context of competing risks models. The construction 7 of the thinned CRMs is derived from a common Poisson random measure that includes the thin8 ning probabilities in its intensity and is transferable to existing Poisson partition calculus results 9 for the posterior analysis (James 2002, 2005). We derive the posterior thinned CRMs, provide 10 generalizations of both the Blackwell and MacQueen Pólya urn formula and the (weighted) Chi11 nese restaurant process for the variates and partitions generated from the thinned CRMs, and 12 we outline strategies for the further development of Monte Carlo simulation for estimation. 13

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.