SOME MEASURES INFORMATION FOR GENERALIZED AND <i>q</i>-GENERALIZED EXTREME VALUES AND ITS PROPERTIES-Reference-Cited by-同舟云学术

SOME MEASURES INFORMATION FOR GENERALIZED AND q-GENERALIZED EXTREME VALUES AND ITS PROPERTIES

Published:2022-10-31 Issue:10 Volume:30 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

ZAID ESRAA OSAMA ABO¹,ATTWA RASHA ABD EL-WAHAB²,RADWAN TAHA³⁴

Affiliation:

1. Department of Mathematics and Computer Science, Faculty of Science, Suez University, Suez, Egypt

2. Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

3. Department of Mathematics, College of Science and Arts, Qassim University, Ar-Rass, Saudi Arabia

4. Department of Mathematics and Statistics, Faculty of Management Technology and Information Systems, Port Said University, Port Said, Egypt

Abstract

Asymmetrical models like the generalized and q-generalized extreme value distributions have been widely used to describe a variety of random events observed in studies including survival, finance, and dependability. The q-analogues, with the extra parameter q, provide for more modelling freedom. In this paper, Shannon entropy, Varentropy and Varexentropy measures are computed in closed form in cases of generalized and q-generalized extreme value distributions. Maximum likelihood estimation method is applied for computing the values of Shannon entropy, Varentropy and Varexentropy measures.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X22402460

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