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… Click to show full abstract
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.
               
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