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  • 标题:Bayesian nonparametric estimation of survival functions with multiple-samples information
  • 本地全文:下载
  • 作者:Alan Riva Palacio ; Fabrizio Leisen
  • 期刊名称:Electronic Journal of Statistics
  • 印刷版ISSN:1935-7524
  • 出版年度:2018
  • 卷号:12
  • 期号:1
  • 页码:1330-1357
  • DOI:10.1214/18-EJS1420
  • 语种:English
  • 出版社:Institute of Mathematical Statistics
  • 摘要:In many real problems, dependence structures more general than exchangeability are required. For instance, in some settings partial exchangeability is a more reasonable assumption. For this reason, vectors of dependent Bayesian nonparametric priors have recently gained popularity. They provide flexible models which are tractable from a computational and theoretical point of view. In this paper, we focus on their use for estimating multivariate survival functions. Our model extends the work of Epifani and Lijoi (2010) to an arbitrary dimension and allows to model the dependence among survival times of different groups of observations. Theoretical results about the posterior behaviour of the underlying dependent vector of completely random measures are provided. The performance of the model is tested on a simulated dataset arising from a distributional Clayton copula.
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