Stochastic comparison and monotonicity of inactive record values

被引:11
|
作者
Zhao, Peng [1 ]
Balakrishnan, N. [2 ]
机构
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
[2] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada
基金
中国国家自然科学基金;
关键词
GENERALIZED ORDER-STATISTICS; OF-N SYSTEMS; RESIDUAL LIFE; SPACINGS; DISTRIBUTIONS;
D O I
10.1016/j.spl.2008.10.002
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper, we study the inactive record values and carry out a stochastic comparison of these quantities from two independent samples. The results established here strengthen those of Amiripour et al. [Amiripour, F., Khaledi, B.-E.. Hu, T., Shojaei. R., 2009. Some new results on stochastic comparisons of record values, Communications in Statistics Theory and Methods (in press)]. We also describe the behavior of the IFR (DFR) class of life distributions through the stochastic monotonicity of the inactive record values. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:566 / 572
页数:7
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