Accession Number:

ADA220273

Title:

Nonparametric Inference under Minimal Repair

Descriptive Note:

Technical rept.

Corporate Author:

FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Report Date:

1990-02-01

Pagination or Media Count:

11.0

Abstract:

In the age-dependent minimal repair model of Block, Borges, and Savits 1985, a system failing at age t undergoes one of two types of repair. With probability pt, a perfect repair is performed, and the system is returned to the good-as-new state, while with probability 1 - pt, a minimal repair is performed, and the system is repaired, but is only as good as a working system of age t. Whitaker and Samaniego 1989 propose an estimator for the system life distribution F when data are collected under this model. Using the product integral representation of the survival function, a basic result of Block, Borges, and Savits concerning the waiting time until the first perfect repair is extended to allow for discontinuous distributions. Then using counting process techniques, the large sample theorems of Whitaker and Samaniego are extended to the whole line. These results are used to derive confidence bands for F, and to determine a sufficient condition for their applicability on the whole line. Simulation results for the bands are provided. An extension of the Wilcoxon two- sample test to the minimal repair model is also examined. JHD

Subject Categories:

  • Statistics and Probability
  • Logistics, Military Facilities and Supplies

Distribution Statement:

APPROVED FOR PUBLIC RELEASE