Further results on the residual quantile entropy

Further results on the residual quantile entropy
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关于残余分位数熵的进一步结果

DOI:
10.1080/03610926.2017.1348519
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发表时间:
2018-07
期刊:
COMMUNICATIONS IN STATISTICS—THEORY AND METHODS
影响因子:
--
通讯作者:
Guoxin Qiu
Guoxin Qiu
中科院分区:
其他
文献类型:
--
作者:
Guoxin Qiu

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本文证明了平均剩余寿命递减类蕴涵着剩余分位数熵递减类,而剩余分位数熵递减类在混合形成时是不封闭的。证明了在加速寿命模型和广义顺序统计量模型下,少分位数熵序是封闭的。同时,给出了某些老化类的熵和剩余分位数熵的界。
ABSTRACT It was shown that the decreasing mean residual life class implies the decreasing residual quantile entropy class and the decreasing residual quantile entropy class is not closed under formation of mixture. The less quantile entropy order was proved to be closed under the accelerated life models and the generalized order statistics models. Meanwhile, bounds of the entropy and the residual quantile entropy of some aging classes were established.
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