The Observed Hazard and Multicomponent Systems.
Abstract
Let X denote the life of some system. We define the observed hazard rate at time t, call it R(t), as the instantaneous probability (density) of failure of X at time t given survival up to t and given a complete description of the system state at t. We conjecture that the total observed hazard--namely, the integral of R(t)dt from the limits of 0 to x--is an exponential random variable with mean 1 and verify this for the special case when X is the distribution of system life of an n component system having an arbitrary monotone structure function. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1980
- Accession Number
- ADA083174
Entities
People
- Mark O. Brown
- Sheldon M. Ross
Organizations
- University of California, Berkeley