What question did this study set out to answer?

The research aims to establish a framework for Tsallis entropy and cumulative residual Tsallis entropy for generalized order statistics under specific bivariate distributions.

July 8, 2026MathematicsOpen Access

Tsallis Entropy Measures for Concomitants of Generalized Order Statistics with Applications in Image Segmentation and Reliability Analysis

View Full Paper

Ask AI

Bookmark

Authors

MNMichael NagyKing Saud University MQMuhammad Nouman QureshiTwin Cities Orthopedics IHIslam A. HusseinyZagazig University

Discussion

Member takes

Implication

Develops Tsallis entropy measures for generalized order statistics, highlighting their applications in image segmentation and reliability assessment.

Key Points

The research aims to establish a framework for Tsallis entropy and cumulative residual Tsallis entropy for generalized order statistics under specific bivariate distributions.
Derived closed-form expressions and representations for Tsallis entropy and cumulative residual Tsallis entropy.
Analyzed the properties of the proposed entropy measures through theoretical investigation and Monte Carlo simulations.
Applied the methodology to reliability assessment of bivariate systems and image segmentation using a rank-sensitive approach.
Developed a nonparametric estimator for cumulative residual Tsallis entropy with verified mean, variance, and consistency properties.
Successfully applied Tsallis-thresholding for effective image segmentation in histogram-based methods.
Illustrated the framework's effectiveness in analyzing real bivariate system data for reliability assessment.

Cite This Study

Nagy et al. (2026) studied this question.

synapsesocial.com/papers/6a4de976d2ea289ef6283991 https://doi.org/10.3390/math14132408

View Full Paper

Ask AI

Bookmark

Implication

Develops Tsallis entropy measures for generalized order statistics, highlighting their applications in image segmentation and reliability assessment.

Tsallis Entropy Measures for Concomitants of Generalized Order Statistics with Applications in Image Segmentation and Reliability Analysis

Discussion

Member takes

Implication

Key Points

Cite This Study

Tsallis Entropy Measures for Concomitants of Generalized Order Statistics with Applications in Image Segmentation and Reliability Analysis

Discussion

Member takes

Implication

Key Points

Cite This Study

Also Consider

Also Consider