Adaptive estimation of the hazard rate with multiplicative censoring

详细信息    查看全文

• 作者：G. Chagny^a ; ^{gaelle.chagny@univ-rouen.fr} ; F. Comte^b ; ^{fabienne.comte@parisdescartes.fr} ; A. Roche^c ; ^{angelina.roche@dauphine.fr}
• 关键词：62G05 ; 62N01
• 刊名：Journal of Statistical Planning and Inference
• 出版年：2017
• 出版时间：May 2017
• 年：2017
• 卷：184
• 期：Complete
• 页码：25-47
• 全文大小：628 K
• 卷排序：184

文摘

We propose an adaptive estimation procedure of the hazard rate of a random variable XX in the multiplicative censoring model, Y=XUY=XU, with U∼U([0,1])U∼U([0,1]) independent of XX. The variable XX is not directly observed: an estimator is built from a sample {Y1,...,Yn}{Y1,...,Yn} of copies of YY. It is obtained by minimisation of a contrast function over a class of general nested function spaces which can be generated e.g. by splines functions. The dimension of the space is selected by a penalised contrast criterion. The final estimator is proved to achieve the best bias–variance compromise and to reach the same convergence rate as the oracle estimator under conditions on the maximal dimension. The good behavior of the resulting estimator is illustrated over a simulation study.