Abstract
Abstract : The main objectives of this research have been the development of smooth nonparametric estimators of quantile functions from right-censored data and the further study of smooth density estimators from censored observations. In particular, kernel-type quantile estimators and generalized product-limit quantile estimators have been obtained under censoring which give better estimates of percentiles of the lifetime distribution than the usual product-limit quantile estimator. Asymptotic properties of these quantile estimators have been developed, including asymptotic normality and consistency. Mean square convergence for the kernel estimator was studied. In addition, a data-based procedure for selecting the bandwidth has been investigated using the bootstrap, and approximate confidence intervals for the true quantile have been proposed using bootstrap estimates of the sampling distribution. Theoretical results on the optimal bandwidth selection for kernel density estimators under random right censorship have also been obtained. Keywords: Reliability; Survival functions.
Published Version
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