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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
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

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.

Type
Research Article
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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