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

E. I. Abdul-Sathar; E. S. Jeevanand; K. R. Muraleedharan Nair

doi:10.6092/issn.1973-2201/85

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
Department of Statistics
K. R. Muraleedharan Nair Cochin University of Science and Technology
Department of Statistics

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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How to Cite

Abdul-Sathar, E. I., Jeevanand, E. S., & Muraleedharan Nair, K. R. (2005). Bayesian estimation of Lorenz curve, Gini-index and variance of logarithms in a Pareto distribution. Statistica, 65(2), 193–205. https://doi.org/10.6092/issn.1973-2201/85