Stochastic Ordering in Residual Mixing Distributions.
Abstract
A mixture of failure rates can be present in an apparently homogeneous population of 'devices' because of variability either in their manufacture or in the severity of their service environments. A mixing distribution is the probability distribution for different failure rates in such a population. A residual mixing distribution is the probability distribution for different failure rates in the population of surviving devices after a specified period of service or 'burn in'. Residual mixing distributions resulting from arbitrary mixtures of constant failure rates are shown to be stochastically ordered (decreasingly) as the period of service or burn in is increased, and to approach in the limit a distribution degenerate at the smallest failure rate 'present' in the production.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1974
- Accession Number
- ADA005460
Entities
People
- David R. Campbell
Organizations
- Naval Postgraduate School