It is considered random censorship from the right. In this model we investigate basically three types of estimators of exponential, product and power types. We illustrative study all these estimators including its presmothed modifications comparatively. We demonstrate confidence bands for considered estimators by using natural and artificial censored observation. It is showed that presmoothed power estimators have some peculiarities with respect to exponential and product-type estimators. It is shown that only power estimator has identifiability property with respect to right random censoring model in the case of a finite-size sample.
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