Inference for Weibull generalized exponential distribution based on generalized order statistics

被引:4
作者
Gupta, Neetu [1 ]
Jamal, Qazi Azhad [1 ]
机构
[1] Aligarh Muslim Univ, Dept Stat & Operat Res, Aligarh, Uttar Pradesh, India
关键词
Weibull generalized exponential distribution; Generalized order statistics; Moments; Recurrence relations; Maximum likelihood estimator and characterization; MOMENT GENERATING-FUNCTIONS;
D O I
10.1007/s12190-019-01263-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the authors have derived relations for marginal and joint moment generating function of Weibull Generalized exponential distribution (WGED) based on generalized order statistics (gos). These derived relations are further reduced to the sub models of gos such as order statistics and record values. The Maximum likelihood (ML) estimates of the unknown parameters of WGED are derived for gos. Further, characterization results of WGED are also carried out. Finally, a simulation study is conducted for order statistics and record values. Based on the simulation study, various moments and performances of derived ML estimates are reported in terms of their respective mean squared errors.
引用
收藏
页码:573 / 592
页数:20
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