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  • 标题:Bayesian Dynamic Density Estimation
  • 本地全文:下载
  • 作者:Abel Rodriguez ; Enrique ter Horst
  • 期刊名称:Bayesian Analysis
  • 印刷版ISSN:1931-6690
  • 电子版ISSN:1936-0975
  • 出版年度:2008
  • 卷号:03
  • 期号:02
  • 页码:339-366
  • DOI:10.1214/08-BA313
  • 出版社:International Society for Bayesian Analysis
  • 摘要:Empirical distributions in nance and economics might show heavy tails, volatility clustering, varying mean returns and multimodality as part of their features. However, most statistical models available in the literature assume some kind of parametric form (clearly neglecting important characteristics of the data) or focus on modeling extreme events (therefore, providing no information about the rest of the distribution). In this paper we develop a Bayesian nonparamet- ric prior for a collection of distributions evolving in discrete time. The prior is constructed by de ning the distribution at any time point as a Dirichlet process mixture of Gaussian distributions, and inducing dependence through the atoms of their stick-breaking decomposition. A general construction, which allows for trends, periodicities and regressors is described. The resulting model is applied to the estimation of the time-varying travel expense distribution of employees from a major development bank comparable to the IDB, IMF and World Bank.
  • 关键词:Dependent Dirichlet process; Nonparametric Bayes; Random probabil- ity measure; Travel Costs; Insurance Claim Distributions
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