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Abdushukurov, A.A. (2011) Estimation of Unknown Distributions from Incomplete Observations and their Properties. LAP Lambert Academic, Saarbrtücken. (in Russian)

has been cited by the following article:

• TITLE: Estimation of Distribution Function Based on Presmoothed Relative-Risk Function

  AUTHORS: Abdurakhim Akhmedovich Abdushukurov, Sukhrob Bakhodirovich Bozorov, Dilshod Ravilovich Mansurov

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

  JOURNAL NAME: Applied Mathematics, Vol.13 No.2, February 25, 2022

  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.