A linear combination of two u-statistics for testing new better than used
Titel:
A linear combination of two u-statistics for testing new better than used
Auteur:
Deshpande, Jayant V. Kochar, Subhash C.
Verschenen in:
Communications in statistics
Paginering:
Jaargang 12 (1983) nr. 2 pagina's 153-159
Jaar:
1983
Inhoud:
Let X be a nonnegative random variable with absolutely continuous distribution function F and survival function [image omitted] . Given a random sample X1,…,Xn from the distribution F, the problem considered is to test Ho [image omitted] (α being an unspecified positive constant) against the alternative [image omitted] for every x,y ≥ 0, that is F is NBU. If F is NBU, then [image omitted] for x,y ≥ 0. Let D(F) = EF[δ(x,y)]. Then D(F) can be taken as an overall measure of deviation for testing Ho against H1. Let S be the U-statistic associated with D(F). It can be seen that S = U - J, where U is the Ahmad statistic and J is the Hollander-proschan statistic already proposed in the literature. Test is to reject Ho for large values of S. The test has good ARE properties.
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