Corpus ID: 13693051

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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