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ON EXTROPY PROPERTIES AND DISCRIMINATION INFORMATION OF DIFFERENT STRATIFIED SAMPLING SCHEMES

Published online by Cambridge University Press:  14 January 2021

Abbas Eftekharian Open the ORCID record for Abbas Eftekharian [Opens in a new window]  and
Guoxin Qiu
Abbas Eftekharian
Affiliation:
Department of Statistics, School of Basic Sciences, University of Hormozgan, Bandar Abbas, Iran E-mail: [email protected]
Guoxin Qiu
Affiliation:
Department of Business Administration, School of Business, Xinhua University of Anhui, Hefei, Anhui 230031, China Department of Statistics and Finance, School of Management, University of Science and Technology of China, Hefei, Anhui 230026, China
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Abstract

Ranked set sampling (RSS) and some of its variants are sampling designs that are applied widely in different areas. When the underlying population contains different subpopulations, we can use stratified ranked set sampling (SRSS) which combines the advantages of stratification with RSS. In the present paper, we consider the information content of SRSS in terms of extropy measure. Some results using stochastic orders properties are obtained. The effect of imperfect ranking on discrimination information is analytically investigated. It is proved that discrimination information between the perfect SRSS and simple random sampling (SRS) data sets performs better than that of between the imperfect SRSS and SRS data sets.

Keywords

discrimination informationextropyimperfect rankingstratified ranked set sampling
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 36 , Issue 3 , July 2022 , pp. 644 - 659
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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