Distributions of maximum likelihood estimators of Lorenz curve and Gini index of exponential distribution
type: Item
instance of: scholarly article
title: Distributions of maximum likelihood estimators of Lorenz curve and Gini index of exponential distribution
zbMATH Open document ID: 0584.62023
author: T. S. K. Moothathu
published in: Annals of the Institute of Statistical Mathematics
publication date: 1985-01-01T00:00:00Z
review text: This paper presents the maximum likelihood estimators (MLEs) of the Lorenz curve and Gini index of the exponential distribution, their exact distributions and moments. All these MLEs are shown to converge almost surely and in the rth mean. Further their asymptotic distributions are obtained. Here we use only very simple arguments to derive certain results that are very useful in statistical study of 'inequality'.
Mathematics Subject Classification ID: 62E15
Mathematics Subject Classification ID: 62E20
Mathematics Subject Classification ID: 62P20
Mathematics Subject Classification ID: 62F10
zbMATH DE Number: 3936182
zbMATH Keywords: almost sure convergence
zbMATH Keywords: convergence in the rth mean
zbMATH Keywords: maximum likelihood estimators
zbMATH Keywords: Lorenz curve
zbMATH Keywords: Gini index
zbMATH Keywords: exponential distribution
zbMATH Keywords: moments
MaRDI profile type: Publication
cites work: A General Definition of the Lorenz Curve
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cites work: Generalized order statistics, Bahadur representations, and sequential nonparametric fixed-width confidence intervals
cites work: Q3259158
description: scientific article; zbMATH DE number 3936182