Estimation of Distribution Function Based on Presmoothed Relative-Risk Function

Abdurakhim Akhmedovich  Abdushukurov; Sukhrob Bakhodirovich  Bozorov; Dilshod Ravilovich  Mansurov

doi:10.4236/am.2022.132015

Abdurakhim Akhmedovich Abdushukurov¹, Sukhrob Bakhodirovich Bozorov², Dilshod Ravilovich Mansurov³

Abstract: In this article, the lifetime data subjecting to right random censoring is considered. Nonparametric estimation of the distribution function based on the conception of presmoothed estimation of relative-risk function and the properties of the estimator by using methods of numerical modeling are discussed. In the model under consideration, the estimates were compared using numerical methods to determine which of the estimates is actually better.

Keywords: Random Censorship, Product-Limit, Relative Risk, Presmoothed, Proportional Hazards, Asymptotic Representation, Strong Consistency, Asymptotic Normality

Cite this paper: Abdushukurov, A. , Bozorov, S. and Mansurov, D. (2022) Estimation of Distribution Function Based on Presmoothed Relative-Risk Function. Applied Mathematics, 13, 191-204. doi: 10.4236/am.2022.132015.

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