LIFE DISTRIBUTIONS DERIVED FROM STOCHASTIC HAZARD FUNCTIONS.
Abstract
Most of the familiar time-to-failure distributions used today are derived from hazard functions whose parameters are assumed to be constant. In this paper an unconditional time-to-failure distribution is derived by assuming that a parameter of a classical failure distribution (viz, exponential and Weibull) is a random variable with a known distribution. With the use of the derived compound distributions and Bayesian techniques, it is then possible to join the test data with prior information to arrive at a combined, and possibly superior, estimate of reliability. The prior distributions considered here are the two-point, the uniform, and the gamma. Conceptually such a scheme may be a more realistic model for describing failure patterns under specific conditions. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1967
- Accession Number
- AD0664142
Entities
People
- Carl M. Harris
- Nozer D. Singpurwalla