A. H. Khammar, Vahideh Ahrari, Seyed Mahdi Amir Jahanshahi
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引用次数: 0
摘要
外性是对随机变量不确定性的度量。考虑到分位数函数在统计数据建模和分析中的广泛适用性,本文从残差寿命变量出发,研究了残差寿命变量的分位数型外向性,简称残差分位数外向性。与残差外向性函数不同,残差分位数外向性通过一个简单的关系唯一地决定了分位数密度函数。使用提出的不确定性分位数度量,推导了老化类别、随机顺序和表征结果。我们还提出了与(n i + 1)- of-n系统和扭曲随机变量相关的一些应用。最后给出了残差分位数熵的非参数估计。为了对所提出的估计器进行评估,我们进行了仿真研究。
Analysis and Applications of Quantile Approach on Residual Extropy
Extropy is a measure of the uncertainty of a random variable. Motivated with the wideapplicability of quantile functions in modeling and analyzing statistical data, in this paper, we studyquantile version of the extropy from residual lifetime variable, "residual quantile extropy" in short.Unlike the residual extropy function, the residual quantile extropy determines the quantile densityfunction uniquely through a simple relationship. Aging classes, stochastic orders and characterizationresults are derived, using proposed quantile measure of uncertainty. We also suggest some applicationsrelated to (n i + 1)-out-of-n systems and distorted random variables. Finally, a nonparametricestimator for residual quantile extropy is provided. In order to evaluate of proposed estimator, we usea simulation study.