A BIVARIATE EXPONENTIAL DENSITY AND A TEST THAT TWO IDENTICAL COMPONENTS IN PARALLEL BEHAVE INDEPENDENTLY.
Abstract
In order to increase the reliability of a system, two (or more) components may be joined in parallel. The system will function normally until both (or all) components have failed. Frequently it may be assumed that, functioning alone, each component has an exponentially distributed life length although it may not necessarily be true that the joint density on the life length of the two (or more) components acting in parallel is the product of the univariate marginal densities. A bivariate exponential density is derived and the uniformly most powerful test of the hypothesis of independence of life length of two components operating in parallel is obtained. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1969
- Accession Number
- AD0696485
Entities
People
- J. G. Saw
Organizations
- University of Florida