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

Subject Categories:

  • Statistics and Probability
  • Manufacturing and Industrial Engineering and Control of Production Systems

Distribution Statement:

APPROVED FOR PUBLIC RELEASE