Testing Whether New is Better than Used with Randomly Censored Data.
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
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A life distribution F a distribution function d.f. such that Fx 0 for x 0, with survival function the superior limit of F is approximately 1-F is new better than used NBU. The dual notion of a new worse than used NWU life d.f. is defined by reversing the inequality. The boundary members of the NBU and NWU classes, obtained by insisting an equality, are the exponential d.f.s. The NBU class of life distributions has proved to be very useful in performing analyses of lifelengths. These d.f.s provide readily interpretable models for describing wearout, play a fundamental role in studies of replacement policies Marshall, Proschan, 1972, and shock models Esary, Marshall, And Proschan, 1973, and have desirable closure properties c.f. Barlow and Proschan, 1975.
- Statistics and Probability