On the sample ranges from heterogeneous exponential variables

In this paper, the sample range from a heterogeneous exponential sample is shown to be larger than that from a homogeneous exponential sample in the sense of the star ordering. Then, by using this result, some equivalent characterizations of stochastic comparisons of sample ranges with respect to va...

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Veröffentlicht in:	Journal of multivariate analysis 2012-08, Vol.109, p.1-9
Hauptverfasser:	Xu, Maochao, Balakrishnan, N.
Format:	Artikel
Sprache:	eng
Schlagworte:	Dispersive ordering Dispersive ordering Excess wealth ordering Hazard rate ordering Order statistics Range Spacings Star ordering Stochastic ordering Excess wealth ordering Hazard rate ordering Mathematical problems Order statistics Range Spacings Star ordering Stochastic models Stochastic ordering Studies
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container_title	Journal of multivariate analysis
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creator	Xu, Maochao Balakrishnan, N.
description	In this paper, the sample range from a heterogeneous exponential sample is shown to be larger than that from a homogeneous exponential sample in the sense of the star ordering. Then, by using this result, some equivalent characterizations of stochastic comparisons of sample ranges with respect to various stochastic orders are established. In this process, two open problems mentioned in Mao and Hu (2010) [16] are solved. The main results established here extend and strengthen several known results in the literature including those of Khaledi and Kochar (2000) [8], Zhao and Li (2009) [22] and Genest et al. (2009) [7].
doi_str_mv	10.1016/j.jmva.2012.02.009
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subjects	Dispersive ordering Dispersive ordering Excess wealth ordering Hazard rate ordering Order statistics Range Spacings Star ordering Stochastic ordering Excess wealth ordering Hazard rate ordering Mathematical problems Order statistics Range Spacings Star ordering Stochastic models Stochastic ordering Studies
title	On the sample ranges from heterogeneous exponential variables
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