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387226

Quartile ranked set sampling for estimating the distribution function

Article

Last updated: 31 Dec 2024

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Abstract

Quartile ranked set sampling (QRSS) method is suggested by Muttlak (2003) for estimat-
ing the population mean. In this article, the QRSS procedure is considered to estimate the distribu-
tion function of a random variable. The proposed QRSS estimator is compared with its counterparts
based on simple random sampling (SRS) and ranked set sampling (RSS) schemes. It is found that the
suggested estimator of the distribution function of a random variable X for a given x is biased and
more efficient than its competitors using SRS and RSS

DOI

10.1016/j.joems.2015.01.006

Keywords

distribution function, Quartile ranked set sampling, Simple random sampling, Ranked set sampling, relative efficiency

Authors

First Name

Amer

Last Name

Al-Omari

MiddleName

Ibrahim

Affiliation

Al al-Bayt University, Faculty of Science, Department of Mathematics, Mafraq, Jordan

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Volume

24

Article Issue

2

Related Issue

51062

Issue Date

2016-06-01

Receive Date

2024-10-20

Publish Date

2016-06-01

Page Start

303

Page End

308

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_387226.html

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https://joems.journals.ekb.eg/service?article_code=387226

Order

387,226

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Quartile ranked set sampling for estimating the distribution function

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Article

Created At

21 Dec 2024