# Accession Number:

## ADA083174

# Title:

## The Observed Hazard and Multicomponent Systems.

# Descriptive Note:

## Research rept.,

# Corporate Author:

## CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER

# Personal Author(s):

# Report Date:

## 1980-01-01

# Pagination or Media Count:

## 13.0

# Abstract:

Let X denote the life of some system. We define the observed hazard rate at time t, call it Rt, 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 Rtdt 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

# Descriptors:

# Subject Categories:

- Statistics and Probability
- Operations Research