Accession Number:

ADA158589

Title:

Mean Residual Life: Theory and Applications

Descriptive Note:

Interim rept.

Corporate Author:

FLORIDA STATE UNIV TALLAHASSEE DEPT OFSTATISTICS

Personal Author(s):

Report Date:

1985-06-01

Pagination or Media Count:

22.0

Abstract:

In the last two decades, reliabilists, statisticians, and others have shown intensified interest in the mean residual life MRL and derived many useful results concerning it. Given that a unit is of age t, the remaining life after time t is random. The expected value of this random residual life is called the mean residual life at time t. Since the MRL is defined for each time t, we also speak of the MRL function. THe MRL function is like the density function the moment generating function, or the characteristic function for a distribution with a finite mean, the MRL completely determines the distribution via an inversion formula. Not only is the MRL used for parametric modeling but also f or nonparametric modeling. Large non-parametric classes of life distributions such as decreasing mean residual life DMRL and new better than used in expectation NBUE have been defined using MRL. This paper defines the MRL function formally and survey some of the key theory. Its wide range of applications is also discussed. Additional keywords Reliability Failure rate. Author

Subject Categories:

  • Statistics and Probability
  • Manufacturing and Industrial Engineering and Control of Production Systems

Distribution Statement:

APPROVED FOR PUBLIC RELEASE