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2022 | 23 | nr 2 | 49--68
Tytuł artykułu

A Bayesian Estimation of the Gini Index and the Bonferroni Index for the Dagum Distribution with the Application of Different Priors

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Bayesian estimators and highest posterior density credible intervals are obtained for two popular inequality measures, viz. the Gini index and the Bonferroni index in the case of the Dagum distribution. The study considers informative and non-informative priors, i.e. the Mukherjee-Islam prior and the extension of Jeffrey's prior, respectively, under the presumption of the Linear Exponential (LINEX) loss function. A Monte Carlo simulation study is carried out in order to obtain the relative efficiency of both the Gini and Bonferroni indices while taking into consideration different priors and loss functions. The estimated loss proves lower when using the Mukherjee-Islam prior in comparison to the extension of Jeffrey's prior and the LINEX loss function outperforms the squared error loss function (SELF) in terms of the estimated loss. Highest posterior density credible intervals are also obtained for both these measures. The study used real-life data sets for illustration purposes.(original abstract)
Rocznik
Tom
23
Numer
Strony
49--68
Opis fizyczny
Twórcy
  • Panjab University, India
  • Panjab University, India
autor
  • Panjab University, India
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171662246

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