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Estimation of the parameters of thePareto distribution

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Summary

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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References

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Authors and Affiliations

  1. University of Guelph, Guelph, Ontario, Canada

    H. J. Malik

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  1. H. J. Malik
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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

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