A class of tests for testing ‘new is better than used’
Hira Lal Koul · Canadian Journal of Statistics · 1978
Abstract A class of tests is proposed for testing H0 F̄(x) = e−λx, λ > 0, x≥0 vs. H1 F̄(x + y) ≤ F̄(x)F̄(y), x, y≥0, with strict inequality for some x, y ≥ 0 (F = new is better than used). Efficiency comparisons of some tests within the class are made and a new test is proposed on the basis of these comparisons. Consistency and the asymptotic normality of the class of tests is proved under fairly broad conditions on the underlying entities.