Product-type and presmoothed hazard rate estimators with censored data

Autores: Ricardo Cao Abad , Ignacio López-de-Ullibarri
Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 16, Nº. 2, 2007, págs. 355-382
Idioma: inglés
DOI: 10.1007/s11749-006-0014-x
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Resumen
- Two new classes of nonparametric hazard estimators for censored data are proposed in this paper. One is based on a formula that expresses the hazard rate of interest as a product of the hazard rate of the observable lifetime and the conditional probability of uncensoring. The second class follows presmoothing ideas already used by Cao et al. (J Nonparametr Stat 17:31–56, 2005) for the cumulative hazard function. Asymptotic representations for some estimators in these classes are obtained and used to prove their limit distributions. Finally, a simulation study illustrates the comparative behavior of the estimators studied along the paper.