Abstract
ABSTRACTSuppose F and G are two life distribution functions. It is said that F is more IFRA (increasing failure rate average) than G (written by F ⩽ *G) if G− 1F(x) is star-shaped on (0, ∞). In this paper, the problem of testing H0: F = *G against H1: F ⩽ *G and F ≠ *G is considered in both cases when G is known and when G is unknown. We propose a new test based on U-statistics and obtain the asymptotic distribution of the test statistics. The new test is compared with some well-known tests in the literature. In addition, we apply our test to a real data set in the context of reliability.
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