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246327

Estimation of parameters of the exponentiated Pareto distribution using ranked set sampling

Article

Last updated: 04 Jan 2025

Subjects

-

Tags

الإحصاء والرياضة والتأمين

Abstract

In this article, the maximum likelihood estimation method is used to estimate the unknown parameters of the exponentiated Pareto distribution based on ranked set sampling (RSS), median Ranked set sampling (MRSS) and simple random sample (SRS). Comparison between estimators of these techniques is made Through simulation study using some criteria: biases, mean square errors and the relative efficiency. At the same sample size, the study concluded that the estimators based on RSS and MRSS are more efficient than those obtained by the SRS. In this article, the maximum likelihood estimation method is used to estimate the unknown parameters of the exponentiated Pareto distribution based on ranked set sampling (RSS), median Ranked set sampling (MRSS) and simple random sample (SRS). Comparison between estimators of these techniques is made Through simulation study using some criteria: biases, mean square errors and the relative efficiency. At the same sample size, the study concluded that the estimators based on RSS and MRSS are more efficient than those obtained by the SRS.

DOI

10.21608/caf.2022.246327

Keywords

Maximum likelihood estimation, Expoentiated Pareto distribution, Ranked set sampling, Median ranked set sampling, The Relative Efficiency

Authors

First Name

Nasr Ibrahim Rashwan Nasr

Last Name

Abu Zaid

MiddleName

-

Affiliation

Faculty of Commerce, Tanta University

Email

nasr.abouzaid@commerce.tanta.edu.eg

City

-

Orcid

-

First Name

Maha

Last Name

Tawfic

MiddleName

-

Affiliation

Faculty of Commerce, Tanta University

Email

maha.ibrahim@commerce.tanta.edu.eg

City

-

Orcid

-

Volume

42

Article Issue

2

Related Issue

34860

Issue Date

2022-06-01

Receive Date

2021-09-27

Publish Date

2022-06-01

Page Start

130

Page End

148

Print ISSN

1110-4716

Online ISSN

2682-4825

Link

https://caf.journals.ekb.eg/article_246327.html

Detail API

https://caf.journals.ekb.eg/service?article_code=246327

Order

16

Publication Type

Journal

Publication Title

التجارة والتمويل

Publication Link

https://caf.journals.ekb.eg/

MainTitle

Estimation of parameters of the exponentiated Pareto distribution using ranked set sampling

Details

Type

Article

Created At

22 Jan 2023