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Accession Number:
AD0711806
Title:
ISOTONIC TESTS FOR CONVEX ORDERINGS,
Descriptive Note:
Corporate Author:
CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER
Report Date:
1970-07-01
Pagination or Media Count:
49.0
Abstract:
Assume F and G are distributions on 0, infinity with densities f and g , respectively. If G sup-1F is convex on the support of F an interval, then rx ddx G sup-1 Fx fxgG sup-1 Fx the generalized failure rate function is nondecreasing in x epsilon 0, infinity . We assume G known, r nondecreasing and consider the problem of testing r constant versus r nondecreasing and not constant. A test based on the cumulative total time on test statistic is proposed and studied for this problem. It is shown for the cases Gx x , x or 0 and Gx - 1 --e sup-x , x or 0 that this test is asymptotically minimax over a class of alternatives based on the Kolmogorov distance and with respect to a class of generalized scores tests. Author
Distribution Statement:
APPROVED FOR PUBLIC RELEASE