Nonparametric Estimation of Distribution Function Under Right Random Censoring Based on Presmoothed Relative-Risk Function
A. A. AbdushukurovTashkent Branch, Moscow State University, 100060, Tashkent, UzbekistanN. S. NurmukhamedovaNational University of Uzbekistan named after Mirzo Ulugbek, 100174, Tashkent, UzbekistanSukhrob B. BozorovGulistan State University, Gulistan, Uzbekistan
ABI
Abstract
In this article the lifetime data subjecting to right random censoring is considered. Nonparametric estimation of the distribution function based on conception of presmoothed estimation of relative-risk function is discussed. A strong uniform approximation of estimator by weighted sum of random functions is proved. As result the strong uniform consistency and asymptotical normality of estimator are also established. Some applications in parametric estimation problems are considered.