Accession Number : ADA293920

Title :   Failure Models Indexed by Time and Usage,

Corporate Author : GEORGE WASHINGTON UNIV WASHINGTON DC INST FOR RELIABILITY AND RISK ANALYSIS

Personal Author(s) : Wilson, Simon P.

PDF Url : ADA293920

Report Date : DEC 1991

Pagination or Media Count : 31

Abstract : All commonly used failure models, both univariate and multivariate, are indexed by a single scale, typically time. This thesis considers the case of indexing a failure model by two scales, namely time and usage. A family of models that is indexed by these two scales of measurement, and attempts to capture the dependence between them, is developed and an example given in detail. Extensions to this basic model, and problems associated with them, are explored. As an aside, an idealised stochastic process for modelling usage is introduced. (AN)

Descriptors :   *MATHEMATICAL MODELS, *TIME DEPENDENCE, *BIVARIATE ANALYSIS, COMPUTERIZED SIMULATION, STOCHASTIC PROCESSES, MULTIVARIATE ANALYSIS, PROBABILITY DISTRIBUTION FUNCTIONS, RANDOM VARIABLES, FAILURE, NUMERICAL INTEGRATION, INDEXES, EXPONENTIAL FUNCTIONS, POISSON DENSITY FUNCTIONS.

Subject Categories : Statistics and Probability
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE