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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
Publication Information
Authors
A. I. Shawky and R. A. Bakoban
Keywords
Keywords: Order statistics; Exponentiated gamma distribution; Moments of order
statistics; Type-II censoring; Maximum likelihood estimator; Best linear unbiased
estimators
Journal
Int. J. Contemp. Math. Sciences, Vol. 4, 2009, no. 2, 71 - 91
Publisher
Not Available
Volume
4
Issue
2
Pages
71 - 91
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
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.
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.