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Order Statistics from Exponentiated Gamma Distribution and Associated Inference

Int. J. Contemp. Math. Sciences, Vol. 4, 2009, no. 2, 71 - 91 • 2009
العودة
معلومات البحث
المؤلفون A. I. Shawky and R. A. Bakoban
الكلمات المفتاحية Keywords: Order statistics; Exponentiated gamma distribution; Moments of order statistics; Type-II censoring; Maximum likelihood estimator; Best linear unbiased estimators
المجلة العلمية Int. J. Contemp. Math. Sciences, Vol. 4, 2009, no. 2, 71 - 91
الناشر Not Available
المجلد 4
العدد 2
الصفحات 71 - 91
publication.type International
رابط البحث Not Available
المواد المرفقة Not Available
الملخص
Order statistics from an exponentiated gamma (EG) distribution are considered.
Exact expression for the single and double moments of order statistics from EG
distribution are derived. Based on the moments of order statistics, the best linear
unbiased estimators (BLUE’s) for the location and scale parameters of EG distribution
under Type-II censoring are obtained. The variances and covariances of these estimators
are also presented. The maximum likelihood estimator (MLE) for the shape parameter is
derived. Also, estimators based on order statistics for the shape parameter are obtained.