Version 1
: Received: 21 September 2023 / Approved: 21 September 2023 / Online: 22 September 2023 (11:09:46 CEST)
How to cite:
Shrahili, M.; Kayid, M. Uncertainty Quantification Based on Residual Tsallis Entropy of Order Statistics. Preprints2023, 2023091495. https://doi.org/10.20944/preprints202309.1495.v1
Shrahili, M.; Kayid, M. Uncertainty Quantification Based on Residual Tsallis Entropy of Order Statistics. Preprints 2023, 2023091495. https://doi.org/10.20944/preprints202309.1495.v1
Shrahili, M.; Kayid, M. Uncertainty Quantification Based on Residual Tsallis Entropy of Order Statistics. Preprints2023, 2023091495. https://doi.org/10.20944/preprints202309.1495.v1
APA Style
Shrahili, M., & Kayid, M. (2023). Uncertainty Quantification Based on Residual Tsallis Entropy of Order Statistics. Preprints. https://doi.org/10.20944/preprints202309.1495.v1
Chicago/Turabian Style
Shrahili, M. and Mohamed Kayid. 2023 "Uncertainty Quantification Based on Residual Tsallis Entropy of Order Statistics" Preprints. https://doi.org/10.20944/preprints202309.1495.v1
Abstract
In this paper, we concentrate on the study of the properties of residual Tsallis entropy for
order statistics. Order statistics have an important role in reliability structural engineering
for example for modelling lifetimes of series and parallel systems. The residual Tsallis entropy
of ith order statistic from a continuous distribution function and its deviation from the
residual Tsallis entropy of ith order statistics from a uniform distribution is investigated. In
a mathematical framework, a method to express the residual Tsallis entropy of the ith order
statistic from a continuous distribution in terms of the residual Tsallis entropy of the ith
order statistic from a uniform distribution is provided. This approach may provide insight
into the behavior and properties of the residual Tsallis entropy for order statistics. Further,
we study the monotonicity properties of the residual Tsallis entropy of order statistics under
di erent conditions. By studying these properties, deeper understanding of the relationship
between the position of order statistics and the resulting residual Tsallis entropy is gained.
Keywords
order statistics; residual Tsallis entropy; Shannon entropy; residual lifetime; (n-i+1)-out-of-n system
Subject
Engineering, Civil Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
