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Prof. Shawky Ahmed Ibrahim Elsayed :: Publications: |
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| Title: | Order Statistics from Exponentiated Gamma
Distribution and Associated Inference |
| Authors: | A. I. Shawky and R. A. Bakoban |
| Year: | 2009 |
| 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 |
| Volume: | 4 |
| Issue: | 2 |
| Pages: | 71 - 91 |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | 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. |
