Applying Generalized Type-II Hybrid Censored Samples on Generalized and q-Generalized Extreme Value Distributions under Linear Normalization

被引:0
|
作者
Attwa, Rasha Abd El-Wahab [1 ]
Radwan, Taha [2 ,3 ]
机构
[1] Zagazig Univ, Fac Sci, Dept Math, Zagazig 44519, Egypt
[2] Qassim Univ, Coll Business Adm, Dept Management Informat Syst, Buraydah 51452, Saudi Arabia
[3] Port Said Univ, Fac Management Technol & Informat Syst, Dept Math & Stat, Port Said 42511, Egypt
来源
SYMMETRY-BASEL | 2023年 / 15卷 / 10期
关键词
mathematical model; statistical model; GEVL; q-GEVP; MLE; confidence interval; entropy; ENTROPY;
D O I
10.3390/sym15101869
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The generalized extreme value (GEV) distributions have wide applications for describing a variety of random events, such as those that occur during specific survival, financial, or reliability investigations. Also, the q-analogues of GEV distributions, called (q-GEVs), are characterized by their ability to provide more flexibility for modeling, which is due to the influence of the q parameter. In this study, we estimated the parameters of generalized and q-generalized extreme value distributions under linear normalization, called GEVL and q-GEVL, respectively. These parameters were estimated using the maximum likelihood estimator method and are based on the generalized type-II hybrid censored sample (G-Type-II HCS). The confidence intervals for these parameters were evaluated. Also, Shannon entropy was estimated for GEVL and q-GEVL distributions. The accuracy of these parameters and the performance of estimators were demonstrated through a real-life example and a simulation study.
引用
收藏
页数:14
相关论文
共 50 条