Estimation of Survival Distributions Under Right-Censoring When Sample Size is Random

Abstract

The paper deals with two classes of unbiased nonparametric estimators of survival and cumulative hazard functions in a population subject to right-censoring. Both classes of estimators are based on a sequential sampling scheme, and are similar to the well-known Kaplan–Meier and Nelson–Aalen estimators.

Keywords:

• Kaplan–Meier estimator
• Nelson–Aalen estimator
• Right-censoring
• Sequential sampling
• Survival analysis

Subject Classification:

• 62N02
• 62L12

ACKNOWLEDGMENTS

I thank a referee and the Associate Editor for their helpful remarks and comments. I am grateful to the Editor-in-Chief for spending his own valuable time on improving the layout of the manuscript.

Notes

Recommended by Hock Peng Chan