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Tests for Monotone Failure Rate Based on Normalized Spacings

Tests for Monotone Failure Rate Based on Normalized Spacings

Let $F$ be a distribution with density $f$, and let $q(t) = f(t)/\lbrack 1 - F(t) \rbrack$ be the failure rate of $F$. Tests for constant versus monotone increasing failure rate based on the ranks of the normalized spacings between the ordered observations have been considered by Proschan and Pyke …