Summary
In this paper, sufficient statistics for the parameters a andv of thePareto distribution are obtained. Using sufficiency, it is shown that the statistic
is stochastically independent of the sufficient statisticY 1. Using sufficiency and stochastic independence ofZ andY 1, the exact distribution of the maximum likelihood estimator\(\hat v\) is derived.
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References
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Work done when the author was on the faculty of Western Feserve University, Cleveland, Ohio, USA
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Malik, H.J. Estimation of the parameters of thePareto distribution. Metrika 15, 126–132 (1970). https://doi.org/10.1007/BF02613565
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DOI: https://doi.org/10.1007/BF02613565