# On Stochastic Comparisons of Largest Order Statistics in the Scale Model

@inproceedings{Maseeh2017OnSC, title={On Stochastic Comparisons of Largest Order Statistics in the Scale Model}, author={F. Maseeh}, year={2017} }

Let Xλ1 ,Xλ2 , . . . ,Xλn be independent nonnegative random variables with Xλi ∼ F (λit), i = 1, . . . , n, where λi > 0, i = 1, . . . , n and F is an absolutely continuous distribution. It is shown that, under some conditions, one largest order statistic X n:n is smaller than another one X n:n according to likelihood ratio ordering. Furthermore, we apply these results when F is a generalized gamma distribution which includes Weibull, gamma and exponential random variables as special cases.

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