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A note on likelihood ratio ordering of order statistics from two samples |
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| Institution: | 1. Department of Statistics, University of Isfahan, Isfahan 81744, Iran;2. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O Box 19395-5746, Tehran, Iran;3. Department of Statistics, Shiraz University, Shiraz 71454, Iran;1. Atilim University, Department of Industrial Engineering, Ankara, Turkey;2. Izmir University of Economics, Department of Mathematics, Izmir, Turkey |
| Abstract: | The purpose of this paper is to establish the stochastic comparisons of order statistics from two samples in the sense of likelihood ratio order. We strengthen and complement some results in Zhao and Balakrishnan (2012) and Ding et al. (2013). |
| Keywords: | Likelihood ratio order Hazard rate order Reversed hazard ratio order Total positivity of order 2 |
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