Estimation of Bonferroni Curve and Bonferroni Index of the Pareto Distribution

Sobhanan Parvathy () and Sathar E. I. Abdul ()
Additional contact information
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

Stochastics and Quality Control, 2024, vol. 39, issue 2, 119-129

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.

Keywords: Pareto Distribution; Bonferroni Curve; Bonferroni Index; Squared Error Loss Function; Digamma Function; Zeta Series (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1515/eqc-2024-0015 (text/html)
For access to full text, subscription to the journal or payment for the individual article is required.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bpj:ecqcon:v:39:y:2024:i:2:p:119-129:n:1005

Ordering information: This journal article can be ordered from
https://www.degruyter.com/journal/key/eqc/html

DOI: 10.1515/eqc-2024-0015

Access Statistics for this article

Stochastics and Quality Control is currently edited by George P. Yanev

More articles in Stochastics and Quality Control from De Gruyter
Bibliographic data for series maintained by Peter Golla ().