Abstract
In this paper, sufficient statistics for the parameters a andv of thePareto distribution are obtained. Using sufficiency, it is shown that the statistic $$Z = \mathop \sum \limits_{i = 1}^N \log \left( {{}^{Y_{i/} }Y_1 } \right)$$ 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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