# Accession Number:

## ADA022384

# Title:

## Bayesian Life Testing using the Total Q on Test

# Descriptive Note:

## Research rept.

# Corporate Author:

## CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER

# Personal Author(s):

# Report Date:

## 1976-01-01

# Pagination or Media Count:

## 35.0

# Abstract:

Suppose the basic shape of the cumulative failure hazard function has been identified for a certain component, and that an unknown parameter theta for a new production run of similar components is to be estimated. In particular, suppose that the failure function is of proportional type, Rx thetaQx, where Q is the known shape function, and that theta is sampled from a prior gamma density. By using a new statistic, called the total Q on test TQT, it is possible to perform Bayesian updating during a variety of lifetime testing programs in a manner similar to total time on test plots. This statistic can also be used with complete lifetime data, extending over several product runs, to identify the failure form Q, and to estimate the gamma hyperparameters. Extensions include the use of several TQT statistics to estimate the relative strength of competing hazard functions.

# Descriptors:

# Subject Categories:

- Statistics and Probability
- Manufacturing and Industrial Engineering and Control of Production Systems
- Test Facilities, Equipment and Methods