COMPARISONS ON LARGEST ORDER STATISTICS FROM HETEROGENEOUS GAMMA SAMPLES
COMPARISONS ON LARGEST ORDER STATISTICS FROM HETEROGENEOUS GAMMA SAMPLES
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DOI：
10.1017/s0269964820000108
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发表时间：
2020-03
影响因子：
1.1
通讯作者：
Ting-ting Zhang;Yiying Zhang;P. Zhao
中科院分区：
文献类型：
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作者：
Ting-ting Zhang;Yiying Zhang;P. Zhao
本文讨论了两组独立和异质伽玛样本的最大顺序统计量的随机比较。结果表明，尺度参数向量间的弱超优序和形状参数向量间的弱次优序意味着对应的最大次序统计量间的危险率序是相反的.我们还建立了通常的随机序的充分条件的规模参数向量之间的p-较大的顺序和形状参数向量之间的弱次优序。数值例子和拍卖理论和可靠性工程中的应用来说明这些结果。
This paper deals with stochastic comparisons of the largest order statistics arising from two sets of independent and heterogeneous gamma samples. It is shown that the weak supermajorization order between the vectors of scale parameters together with the weak submajorization order between the vectors of shape parameters imply the reversed hazard rate ordering between the corresponding maximum order statistics. We also establish sufficient conditions of the usual stochastic ordering in terms of the p-larger order between the vectors of scale parameters and the weak submajorization order between the vectors of shape parameters. Numerical examples and applications in auction theory and reliability engineering are provided to illustrate these results.