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Expected difference of order statistics in terms of hazard rate
Published 15 Nov 2019 in math.PR | (1911.06870v1)
Abstract: If the hazard rate $ \frac{ F'(x) }{ 1-F(x) } $ is increasing (in $x$), then $ \mathbb E\, ( X_{n:n} - X_{n-1:n} ) $ is decreasing (in $n$), and moreover, completely monotone.
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