# Estimation of the parameters of thePareto distribution

@article{Malik1970EstimationOT,
title={Estimation of the parameters of thePareto distribution},
author={H. J. Malik},
journal={Metrika},
year={1970},
volume={15},
pages={126-132}
}
• H. J. Malik
• Published 1970
• Mathematics
• Metrika
• SummaryIn 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 statisticY1. Using sufficiency and stochastic independence ofZ andY1, the exact distribution of the maximum likelihood estimator $$\hat v$$ is derived.
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