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

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 n(t) be the product-limit estimator (PL-estimator) of Kaplan and Meier for the life distribution. Since F sub n(t) never has the IFRA property and may not be NBU, we modify F sub n(t) 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 1/2 power-equivalent to F sub n(t) on compact intervals. Thus the modified estimators share the asymptotic properties of the PL-estimator F sub n(t). (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1985
Accession Number
ADA172004

Entities

People

  • Jane-ling Wang

Organizations

  • University of California, Davis

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Availability
  • California
  • Data Science
  • Distribution Functions
  • Estimators
  • Information Science
  • Intervals
  • Optimal Estimators
  • Probability
  • Random Variables
  • Security
  • Statistical Analysis
  • Statistical Inference
  • Statistics
  • Stochastic Processes
  • Survival
  • Universities

Fields of Study

  • Mathematics

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  • Statistical inference.