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313768

Bayesian Estimation for Pareto Populations Under Asymmetric Loss Functions

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Last updated: 28 Dec 2024

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Abstract

The Bayesian estimators for the parameters of the Pareto distribution that are optimal relative to asymmetric loss functions are derived on the basis of a censored sample. The parameters of interest are the shape parameter or the famous index of equality, the scale parameter as well as the reliability function. The statistical performance of the LINEX and quadratic Bayes estimators of the shape parameter are compared via Monte Carlo simulation through their risk functions relative to both LINEX and quadratic loss functions.  

DOI

10.21608/esju.2004.313768

Keywords

Pareto Distribution - Asymmetric Loss Functions, LINEX - Quadratic Loss Functions - Censored Sample

Volume

48

Article Issue

2

Related Issue

42997

Issue Date

2004-12-01

Publish Date

2004-12-01

Page Start

114

Page End

129

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313768.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313768

Order

2

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Bayesian Estimation for Pareto Populations Under Asymmetric Loss Functions

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Article

Created At

28 Dec 2024