Estimation of the inequality indices based on the well-known rank-based sampling schemes

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dc.contributor.author Rad, Najmeh Nakhaei
dc.contributor.author Salehi, Mahdi
dc.contributor.author Mehrali, Yaser
dc.date.accessioned 2023-06-08T12:13:12Z
dc.date.available 2023-06-08T12:13:12Z
dc.date.issued 2022
dc.description.abstract Using the simple random sampling (SRS) for collecting the income data may results poor estimators specially when the sample size is not enough large. Since under this circumstance, it may be difficult to obtain a representative subset from the income population based on SRS. Ranked set sampling (RSS) and its simplified versions overcome to this shortcoming. These sampling schemes work based on judgment ranking of the sample units. Moreover, the judgment post-stratification sampling (JPS) is also another rank-based sampling plan that can be considered as a competitor of RSS. This paper is organized in order to find the most appropriate sampling scheme among the SRS, RSS, JPS and some more, for estimating of some well-known inequality indices. Comparison of the estimators is carried out through a simulation study based on both perfect and imperfect ranking mechanisms. Results show that the suggested scheme is different for each inequality index. Finally, a real data set is analyzed. en_US
dc.description.department Statistics en_US
dc.description.librarian hj2023 en_US
dc.description.sponsorship In part by the National Research Foundation (NRF) of South Africa, SARChI Research Chair UID: 71199 and DSI-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), South Africa. en_US
dc.description.uri https://www.tandfonline.com/loi/lssp20 en_US
dc.identifier.citation Najmeh Nakhaei Rad, Mahdi Salehi & Yaser Mehrali (2022) Estimation of the inequality indices based on the well-known rank-based sampling schemes, Communications in Statistics - Simulation and Computation, 51:9, 5308-5322, DOI: 10.1080/03610918.2020.1767785. en_US
dc.identifier.issn 0361-0918 (print)
dc.identifier.issn 1532-4141 (online)
dc.identifier.other 10.1080/03610918.2020.1767785
dc.identifier.uri http://hdl.handle.net/2263/91062
dc.language.iso en en_US
dc.publisher Taylor and Francis en_US
dc.rights © 2020 Taylor & Francis Group, LLC. This is an electronic version of an article published in Communications in Statistics : Simulation and Computation, vol. 51, no. 9, pp. 5308-5322, DOI: 10.1080/03610918.2020.1767785. Communications in Statistics : Simulation and Computation is available online at : http://www.tandfonline.comloi/lssp20. en_US
dc.subject Simple random sampling (SRS) en_US
dc.subject Atkinson index en_US
dc.subject Gini index en_US
dc.subject Median ranked set sampling (MedRSS) en_US
dc.subject Judgment post-stratification sampling (JPS) en_US
dc.subject MLD index en_US
dc.subject Modified ranked set sampling (MRSS) en_US
dc.subject Monte Carlo simulation en_US
dc.subject Ranked set sampling (RSS) en_US
dc.subject Theil index en_US
dc.title Estimation of the inequality indices based on the well-known rank-based sampling schemes en_US
dc.type Postprint Article en_US


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