Accession Number:

ADA073895

Title:

A Maximum Likelihood Estimator for an Exponential Parameter from a Life Test with Both Type I and Type II Censoring.

Descriptive Note:

Technical rept.,

Corporate Author:

MISSOURI UNIV-COLUMBIA DEPT OF STATISTICS

Personal Author(s):

Report Date:

1979-08-01

Pagination or Media Count:

36.0

Abstract:

A hybrid life test on items assumed to have an exponential lifetime combines type I and type II censoring. In type I censoring, n items are placed on test and observed for a fixed time t, while in type II censoring the test terminates with the rth sub 0 failure, where r sub 0 is a preassigned integer. If t sub r sub 0 is the time of the rth sub 0 failure, a hybrid life test terminates at mint sub r sub 0, t. In some situations it may be of interest to estimate the average lifetime theta, following the test decision. In this report, we find the maximum likelihood estimator, theta-cap, when the sample is subject to hybrid censoring. An expression for Etheta-cap is derived. Because this expression is complex, computer simulations are used to examine the bias of theta-cap. Author

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE