Analysis and Applications of Quantile Approach on Residual Extropy

  • Amir Hamzeh Khammar University of Sistan and Baluchestan
  • Vahideh Ahrari
  • Seyed Mahdi Amir Jahanshahi University of Sistan and Baluchestan, Statistics Department.
Keywords: Distorted distribution, Quantile function, Nonparametric estimator, Reliability measures, Residual extropy, Stochastic orders, Uncertainty measure.


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.

Author Biography

Seyed Mahdi Amir Jahanshahi, University of Sistan and Baluchestan, Statistics Department.
Statistics Department


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How to Cite
Khammar, A. H., Ahrari, V., & Amir Jahanshahi, S. M. (2023). Analysis and Applications of Quantile Approach on Residual Extropy. Statistics, Optimization & Information Computing, 11(4), 876-891.
Research Articles