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Article
On New Moment Estimation of Parameters of the Gamma Distribution Using its Characterization
In this paper, the more convenient estimators of both parameters of the gamma distribution are proposed by using its characterization, and shown to be more efficient than the maximum likelihood estimator and t...
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Article
On a Characterization of the Gamma Distribution: The Independence of the Sample Mean and the Sample Coefficient of Variation
Let n≥ 3 and let X 1,...,X n be positive i.i.d. random variables whose common distribution function f has a continuous p.d.f. Using earlier work of the present authors and a me...
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Article
On the joint distribution of Grubbs' statistics
In this paper, the joint pdf's of Grubbs' statistics for normal and exponential populations are obtained; and relationship between the two pdf's is established. New formulations of the first marginal pdf of Gr...
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Article
On the joint distribution of studentized order statistics
In this paper, the joint distribution of some special linear combinations of the (internally) studentized order statistics are derived for both normal and exponential populations; the exact relationship betwee...
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Article
More comparisons of MLE with UMVUE for exponential families
Under some regularity conditions, the asymptotic expected deficiency (AED) of the maximum likelihood estimator (MLE) relative to the uniformly minimum variance unbiased estimator (UMVUE) for a given one-parame...
