Accession Number : ADA192000

Title :   Modeling Discrete Bathtub and Upside Down Bathtub Mean Residual Life Functions.

Descriptive Note : Technical rept.,

Corporate Author : SOUTH CAROLINA UNIV COLUMBIA DEPT OF STATISTICS

Personal Author(s) : Guess, Frank M ; Park, Dong H

PDF Url : ADA192000

Report Date : Oct 1987

Pagination or Media Count : 20

Abstract : A useful function for analyzing burn-in, developing maintenance policies, or simply modeling lifetime of equipment is the mean residual life function. Other functions, such as the reliability or the failure rate functions, are of course important also. Discrete data arises naturally in various ways: from discretizing or grouping continuous data, devices operate by cycles (e.g., a copier's cycle is a copy, its lifelength the total number of copies), etc. This paper develops a general approach to modeling discrete bathtub and upside down bathtub mean residual life functions. Because the approach allows parametric modeling of the mean residual life maximum likelihood estimation of models can be done. This will enable estimation of such parametric models for complete discrete data, as well as right censored discrete data. A simple, perhaps surprising, example is presented where the mean residual life increases, then decreases; however, the hazard rate also increases, drops suddenly at one cycle, then increases again. The authors discuss two reasonable industrial explanations of such unusual behavior.

Descriptors :   *FAILURE, *LIFE EXPECTANCY(SERVICE LIFE), *STATISTICAL PROCESSES, CYCLES, FUNCTIONS, HAZARDS, MATHEMATICAL MODELS, PARAMETRIC ANALYSIS, RATES, RELIABILITY, LIFE TESTS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE