Sankhya: The Indian Journal of Statistics

1998, Volume 60, Series A, Pt. 2, pp. 265-273

A NOTE ON THE STRONG UNIFORM CONSISTENCY OF KERNEL DINSITY ESTIMATIORS UNDER RANDOM CENSORSHIP

By

BIAO ZHANG, University of Toledo, Toledo

SUMMARY. We apply the strong approximation technique to study the strong uniform consistency for kernel estimators of the density function of the survival times under random censorship.

AMS (1991) subject classification.62C10.

Key words and phrases. Bandwidth; counting process; martingale; Kaplan-Meier estimator; strong approximation.

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