Moments of Order Statistics from Weibull Distribution in the Presence of Multiple Outliers |
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| Authors: | Khalaf S. Sultan Mohamed E. Moshref |
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| Affiliation: | 1. Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh, Saudi Arabiaksultan@ksu.edu.sa;3. Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh, Saudi Arabia;4. Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt |
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| Abstract: | ![]()
In this article, we derive exact expressions for the single and product moments of order statistics from Weibull distribution under the contamination model. We assume that X1, X2, …, Xn ? p are independent with density function f(x) while the remaining, p observations (outliers) Xn ? p + 1, …, Xn are independent with density function arises from some modified version of f(x), which is called g(x), in which the location and/or scale parameters have been shifted in value. Next, we investigate the effect of the outliers on the BLUE of the scale parameter. Finally, we deduce some special cases. |
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| Keywords: | Order statistics Outliers Slippage model Contamination model Single and product moments BLUE Covariances Bias and mean square error. |
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