A Maximum Likelihood Estimator for an Exponential Parameter from a Life Test with Both Type I and Type II Censoring.
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 min(t 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 E(theta-cap) is derived. Because this expression is complex, computer simulations are used to examine the bias of theta-cap. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1979
- Accession Number
- ADA073895
Entities
People
- Kenneth B. Fairbanks