# Accession Number:

## AD0787369

# Title:

## Sensitivity Analysis of a Reliability Estimation Procedure for a Component Whose Failure Density is a Mixture of Exponential Failure Densities.

# Descriptive Note:

## Master's thesis,

# Corporate Author:

## NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

# Personal Author(s):

# Report Date:

## 1974-09-01

# Pagination or Media Count:

## 88.0

# Abstract:

The failure rate lambda, of components with exponential failure times, because of the manufacturing process of the components, behaves as a random variable. Assuming lambda is Gamma distributed with shape parameter alpha and scale parameter beta, the reliability estimate of the components can be expressed as R prime t 11 beta primet to the alpha prime power where alpha prime and beta prime are the maximum likelihood estimators of alpha and beta respectively. The accuracy of this estimate is analyzed when the distribution of lambda is discretely distributed rather than gamma distributed. Author

# Descriptors:

# Subject Categories:

- Statistics and Probability
- Manufacturing and Industrial Engineering and Control of Production Systems