Bayesian estimation of Lorenz curve, Gini-index and variance of logarithms in a Pareto distribution

Authors

  • E. I. Abdul-Sathar Indian Institute of Management Kozhikode, Calicut
  • E. S. Jeevanand U.C. College, Alwaye
  • K. R. Muraleedharan Nair Cochin University of Science and Technology

DOI:

https://doi.org/10.6092/issn.1973-2201/85

Abstract

In this article, we estimate Lorenz curve, Gini-index and variance of logarithms for Pareto distribution using Bayesian framework with a conjugate prior. Our proposed Bayesian estimators are compared using a Monte Carlo study, to the MLE estimator proposed by Moothathu (1990) in terms of variance. It is found that the proposed estimators are highly efficient.

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Issue

Vol. 65 No. 2 (2005)

Section

Articles

License

Copyright (c) 2005 Statistica

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 Unported License.