Accession Number:
AD0730590
Title:
Testing Whether New is Better Than Used,
Descriptive Note:
Corporate Author:
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
Personal Author(s):
Report Date:
1971-07-01
Pagination or Media Count:
29.0
Abstract:
A U-statistic J sub N is proposed for testing the hypothesis H sub O that a new item has stochastically the same life length as a used item of any age i.e., the life distribution F is exponential, against the alternative hypothesis H sub 1 that a new item has stochastically greater life length Fx Fy or Fxy, for all x or 0, y or 0, where F 1-F. J sub n is unbiased in fact, under a partial ordering of H sub 1 distributions, J sub n is ordered stochastically in the same way. Consistency against H sub 1 alternatives is shown, and asymptotic relative efficiencies are computed. Small sample null tail probabilities are derived, and critical values are tabulated to permit application of the test. Author
Descriptors:
Subject Categories:
- Statistics and Probability
- Manufacturing and Industrial Engineering and Control of Production Systems