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

被引：0
|
作者：
Zaid, Esraa Osama Abo [1 ]
Attwa, Rasha Abd El-Wahab [2 ]
Radwan, Taha [3 ,4 ]
机构：
[1] Suez Univ, Fac Sci, Dept Math & Comp Sci, Suez, Egypt
[2] Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt
[3] Qassim Univ, Coll Sci & Arts, Dept Math, Ar Rass, Saudi Arabia
[4] Port Said Univ, Fac Management Technol & Informat Syst, Dept Math & Stat, Port Said, Egypt
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2022年 / 30卷 / 10期
关键词：
GEVL; GEVP; q-GEVP; Entropy; Varentropy; Varexentropy; MLE; ORDER-STATISTICS;
D O I：
10.1142/S0218348X22402460
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Asymmetrical models like the generalized arid 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.
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页数：14
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