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Estimation of Distribution Function Based on Presmoothed Relative-Risk Function
Moscow State University Tashkent Branch, Tashkent, Uzbekistan
Guliston State University, Gulistan, Uzbekistan
Navoi State Pedagogical Institute, Navoi, Uzbekistan
- 1 Moscow State University Tashkent Branch, Tashkent, Uzbekistan
- 2 Guliston State University, Gulistan, Uzbekistan
- 3 Navoi State Pedagogical Institute, Navoi, Uzbekistan
Applied Mathematics·Volume 13 (2022)·Pages 191–204·Published 9 February 2022·DOI10.4236/am.2022.132015
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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.
KeywordsRandom CensorshipProduct-LimitRelative RiskPresmoothedProportional HazardsAsymptotic RepresentationStrong ConsistencyAsymptotic Normality
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