Summary
The estimation of parameter β in the type of distributionf(x)=b x α−1 β α/b exp (−αx bΓ(α/b),x>0, is considered, when several outliers of the type θ, β,r=1,2, ...,k, are present in the data. The estimates of β as well as of θ's are put in the closed form. Special cases, Weibull, Gamma and Exponential are considered for the case of single outlier. Actual estimates are calculated from the generated samples of size 2 and 3 for the Weibull and Exponential.
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Lingappaiah, G.S. Effect of outliers on the estimation of parameters. Metrika 23, 27–30 (1976). https://doi.org/10.1007/BF01902847
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DOI: https://doi.org/10.1007/BF01902847