Tests for the Mean Residual Life,
Abstract
In this paper the authors develop tests for decreasing mean residual life (DMRL) and new better than used in expectation (NBUE) alternatives. The DMRL statistic is new, and critical constants and a large sample approximation are obtained to make the test readily applicable. The NBUE statistic derived is shown to be equivalent to the total time on test (TTOT) statistic; the latter is ordinarily viewed as a test statistic for increasing failure rate (IFR) alternatives. The DMRL and NBUE tests are investigated on the basis of consistency and asymptotic relative efficiency. The results lead to a reinterpretation of the TTOT statistic as a test for classes of alternatives larger than the IFR class and including the NBUE class.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1975
- Accession Number
- ADA004327
Entities
People
- Frank Proschan
- Myles Hollander
Organizations
- Florida State University