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A class of tests for testing ‘new is better than used’
Author(s) -
Koul Hira L.
Publication year - 1978
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315051
Subject(s) - class (philosophy) , consistency (knowledge bases) , mathematics , normality , combinatorics , statistical hypothesis testing , discrete mathematics , statistics , computer science , artificial intelligence
A class of tests is proposed for testing H 0 F̄(x) = e −λx , λ > 0, x≥0 vs. H 1 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.