Journal of Statistics Applications & Probability


In this paper, we estimate the scale parameter of quasi Lindley distribution in the presence of a single outlier based on order statistics by using the maximum likelihood and Bayes estimation methods. We derive the exact expressions for the single and product moments of order statistics from quasi Lindley distribution in the presence of multiple outliers and use these moments to study the robustness of the best linear unbiased estimator and some other linear estimators of the scale parameter. We compute some numerical results and use real data to show the effect of outliers on the estimators.

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