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Almasi, Isaac, Abbas Al-Arkawazi, Wria, Sh. Msallam, Basim, Ezadi, Somayeh. (1405). A Generalized Fisher-Shannon-Shape Information Measure with Jensen-Type Divergence and Its Applications. پژوهشنامه مدیریت اجرایی, (), -. doi: 10.22080/cjms.2026.31931.1857
Isaac Almasi; Wria Abbas Al-Arkawazi; Basim Sh. Msallam; Somayeh Ezadi. "A Generalized Fisher-Shannon-Shape Information Measure with Jensen-Type Divergence and Its Applications". پژوهشنامه مدیریت اجرایی, , , 1405, -. doi: 10.22080/cjms.2026.31931.1857
Almasi, Isaac, Abbas Al-Arkawazi, Wria, Sh. Msallam, Basim, Ezadi, Somayeh. (1405). 'A Generalized Fisher-Shannon-Shape Information Measure with Jensen-Type Divergence and Its Applications', پژوهشنامه مدیریت اجرایی, (), pp. -. doi: 10.22080/cjms.2026.31931.1857
Almasi, Isaac, Abbas Al-Arkawazi, Wria, Sh. Msallam, Basim, Ezadi, Somayeh. A Generalized Fisher-Shannon-Shape Information Measure with Jensen-Type Divergence and Its Applications. پژوهشنامه مدیریت اجرایی, 1405; (): -. doi: 10.22080/cjms.2026.31931.1857

A Generalized Fisher-Shannon-Shape Information Measure with Jensen-Type Divergence and Its Applications

Caspian Journal of Mathematical Sciences
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 14 شهریور 1405
نوع مقاله: Research Articles
شناسه دیجیتال (DOI): 10.22080/cjms.2026.31931.1857
نویسندگان
Isaac Almasi* 1؛ Wria Abbas Al-Arkawazi1؛ Basim Sh. Msallam2؛ Somayeh Ezadi3
1Department of Statistics, Faculty of Science, Razi University, Kermanshah, Iran
2Department of Statistics, College of Administration and Economics, University of Karbala, Karbala, Iraq
3Department of Mathematics, NT.C., Islamic Azad University, Tehran, Iran
تاریخ دریافت: 07 خرداد 1405،  تاریخ بازنگری: 24 مرداد 1405،  تاریخ پذیرش: 27 مرداد 1405 
چکیده
This paper introduces a novel composite information measure, termed D_{\mathrm{New}}, which integrates Fisher information, Shannon entropy, and a distributional shape measure within a unified mathematical framework. We establish key analytical properties of the measure, including convexity and non-negativity, and formulate an associated Jensen type divergence. The proposed construction is subsequently generalized to the multivariate setting, and an upper bound for the extended Jensen divergence is derived. Furthermore, a weighted (p, w)-Jensen formulation is presented, enabling the decomposition of the overall divergence into its Fisher, Shannon, and shape-based components. The resulting framework encompasses several well-known information measures as special cases and provides a practical tool for modeling complex systems, statistical inference, signal processing, and applications such as biological data analysis, species discrimination, and anomaly detection, as demonstrated in the case study on three penguin species (Adelie, Gentoo, and Chinstrap).
کلیدواژه‌ها
Fisher Information؛ Shannon Entropy؛ Shape Measure؛ Jensen Divergence؛ Information Theory
آمار
تعداد مشاهده مقاله: 1


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