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  • 标题:Nonparametric estimation for a two-dimensional renewal process
  • 本地全文:下载
  • 作者:Katherine F. Davies ; B. Gail Ivanoff
  • 期刊名称:Electronic Journal of Statistics
  • 印刷版ISSN:1935-7524
  • 出版年度:2012
  • 卷号:6
  • 页码:1449-1476
  • DOI:10.1214/12-EJS718
  • 语种:English
  • 出版社:Institute of Mathematical Statistics
  • 摘要:This paper introduces nonparametric estimation methods for spatial point processes satisfying a particular renewal property. Martingale methods yield a unified approach for renewal processes in both one and two dimensions, and can be used for both synchronous and asynchronous data. In each case, we obtain martingale estimators of the avoidance probabilities that characterize the renewal process. Asymptotic properties of the estimators are studied analytically and empirically.
  • 关键词:Point process;renewal process;avoidance prob ability;multiparameter martingale;product limit estimator.
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