We study stochastic comparisons between the largest order statistics from samples which may contain outliers. The data in each sample can also be dependent. Under these assumptions we study three cases. In the first one we consider the general case without additional assumptions. In the second we assume that the data come from two different distributions. In the third one we assume that the data come from a proportional hazard rates model. The results obtained here can be applied to compare parallel systems. Some illustrative examples are provided.
机构:
Jiangsu Normal Univ, Sch Math Sci, Xuzhou 221116, Peoples R China
Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R ChinaJiangsu Normal Univ, Sch Math Sci, Xuzhou 221116, Peoples R China
Zhao, Peng
Zhang, Yiying
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Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R ChinaJiangsu Normal Univ, Sch Math Sci, Xuzhou 221116, Peoples R China