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A New Class of Generalized Probability-Weighted Moment Estimators for the Pareto Distribution

Author

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  • Frederico Caeiro

    (NOVA School of Science and Technology (FCT NOVA) and CMA, Campus de Caparica, NOVA University Lisbon, 2829-516 Caparica, Portugal
    These authors contributed equally to this work.)

  • Ayana Mateus

    (NOVA School of Science and Technology (FCT NOVA) and CMA, Campus de Caparica, NOVA University Lisbon, 2829-516 Caparica, Portugal
    These authors contributed equally to this work.)

Abstract

Estimation based on probability-weighted moments is a well-established method and an excellent alternative to the classic method of moments or the maximum likelihood method, especially for small sample sizes. In this research, we developed a new class of estimators for the parameters of the Pareto type I distribution. A generalization of the probability-weighted moments approach is the foundation for this new class of estimators. It has the advantage of being valid in the entire parameter space of the Pareto distribution. We established the asymptotic normality of the new estimators and applied them to simulated and real datasets in order to illustrate their finite sample behavior. The results of comparisons with the most used estimation methods were also analyzed.

Suggested Citation

  • Frederico Caeiro & Ayana Mateus, 2023. "A New Class of Generalized Probability-Weighted Moment Estimators for the Pareto Distribution," Mathematics, MDPI, vol. 11(5), pages 1-17, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1076-:d:1075526
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    References listed on IDEAS

    as
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