Accession Number:

AD0765719

Title:

Some Contributions to the Stochastic Characterization of Wear,

Descriptive Note:

Corporate Author:

GEORGE WASHINGTON UNIV WASHINGTON D C PROGRAM IN LOGISTICS

Report Date:

1973-07-10

Pagination or Media Count:

38.0

Abstract:

In the paper the authors present some properties of the class of life distributions characterized by the fact that their mean residual life is decreasing increasing in time. Bounds are given on the survival function of this class and results are summarized on class closures under mixtures, convolutions, and the formation of coherent structures. Introduced next is a new class, characterized by the fact that some percentile of its residual life decreases increases in time. This class will be abbreviated as the DPL IPL class. The authors investigate the implications between this class and those that are known in the literature. In addition to this, bounds are obtained on the survival function of the DPL IPL class and the results are summarized on the closure properties mentioned above. A family of distributions are given which are characterized by the fact that for some percentile of their residual lives, the distributions are both IPL and DPL. It is noted that this family is not the exponential family. Modified author abstract

Subject Categories:

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

Distribution Statement:

APPROVED FOR PUBLIC RELEASE