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Estimation of Bonferroni Curve and Bonferroni Index of the Pareto Distribution

Author

Listed:
  • Sobhanan Parvathy

    (Department of Statistics, 29263 University of Kerala , Kariavattom, Trivandrum 695581, India)

  • Sathar E. I. Abdul

    (Department of Statistics, 29263 University of Kerala , Kariavattom, Trivandrum 695581, India)

Abstract

In this article, we consider classical and Bayesian estimations of some economic measures, specially Bonferroni Curve and Bonferroni Index of the Pareto distribution. We obtain the Maximum Likelihood Estimator and Uniform Minimum Variance Unbiased Estimator in the classical setup, and their properties are studied. Additionally, we conduct Bayesian estimation procedures based on symmetric loss functions and a truncated gamma prior. The precision of the estimators is evaluated under different sample sizes via Monte Carlo simulation. Furthermore, a real dataset is provided to compute all the estimators.

Suggested Citation

  • Sobhanan Parvathy & Sathar E. I. Abdul, 2024. "Estimation of Bonferroni Curve and Bonferroni Index of the Pareto Distribution," Stochastics and Quality Control, De Gruyter, vol. 39(2), pages 119-129.
    • Handle: RePEc:bpj:ecqcon:v:39:y:2024:i:2:p:119-129:n:1005
    DOI: 10.1515/eqc-2024-0015
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