Moments of Order Statistics from Weibull Distribution in the Presence of Multiple Outliers

Khalaf S. Sultan and Mohamed E. Moshref

Communications in Statistics - Theory and Methods, 2014, vol. 43, issue 10-12, 2214-2226

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.

Date: 2014
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DOI: 10.1080/03610926.2013.783072

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