Accession Number:

ADA172004

Title:

Estimating IFRA (Increasing Failure Rate Average) Based on Censored Data.

Descriptive Note:

Technical rept.,

Corporate Author:

CALIFORNIA UNIV DAVIS INTERCOLLEGE DIV OF STATISTICS

Personal Author(s):

• Wang,Jane-Ling

Report Date:

1985-11-01

Pagination or Media Count:

21.0

Abstract:

This paper considers the problem of estimating a survival curve from randomly right censored data when it is known to have increasing Failure Rate Average IFRA, or to be New Better than Used NBU. Let F sub nt be the product-limit estimator PL-estimator of Kaplan and Meier for the life distribution. Since F sub nt never has the IFRA property and may not be NBU, we modify F sub nt to have the desired IFRA NBU properties. The modified estimators are easy to compute and, under mild conditions, are shown to be asymptotically n raised to the 12 power-equivalent to F sub nt on compact intervals. Thus the modified estimators share the asymptotic properties of the PL-estimator F sub nt. Author

Descriptors:

• *NONPARAMETRIC STATISTICS
• *DISTRIBUTION CURVES
• SURVIVAL(GENERAL)
• ESTIMATES
• DISTRIBUTION FUNCTIONS
• ASYMPTOTIC NORMALITY
• INTERVALS

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE