Bezier curve smoothing of cumulative hazard function estimators Cha, Yongseb; Kim, Choongrak;
In survival analysis, the Nelson-Aalen estimator and Peterson estimator are often used to estimate a cumulative hazard function in randomly right censored data. In this paper, we suggested the smoothing version of the cumulative hazard function estimators using a Bezier curve. We compare them with the existing estimators including a kernel smooth version of the Nelson-Aalen estimator and the Peterson estimator in the sense of mean integrated square error to show through numerical studies that the proposed estimators are better than existing ones. Further, we applied our method to the Cox regression where covariates are used as predictors and suggested a survival function estimation at a given covariate.
Bezier curve;Bezier points;Cox regression;cumulative hazard function estimator;kernel type smoothing;right censored data;
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