On the improvement of paired ranked set sampling to estimate population mean

Rehman Syed Abdul () and Shabbir Javid ()
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Rehman Syed Abdul: Balochistan University of Information Technology, Engineering and Management Sciences, Pakistan
Shabbir Javid: Quaid-i-Azam University, Islamabad, Pakistan

Statistics in Transition New Series, 2021, vol. 22, issue 3, 193-205

Abstract: In ecological and environmental sampling the quantification of units is either difficult or overly demanding in terms of the time, money, workload, it requires. For this reason efficient and cost-effective sampling methods need to be devised for data collecting. The most commonly used method for this purpose is the Ranked Set Sampling (RSS). In this paper, a sampling scheme called Improved Paired Ranked Set Sampling (IPRSS) is proposed to estimate the population mean. The performance of the proposed IPRSS is evaluated under perfect and imperfect rankings. A simulation study based on selected hypothetical distributions and a real-life data set showed that IPRSS is more precise than RSS, Paired RSS (PRSS) or Extreme RSS (ERSS).

Keywords: order statistics; ranked set sampling; relative efficiency; unbiased estimator; imperfect ranking. (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:22:y:2021:i:3:p:193-205:n:4

DOI: 10.21307/stattrans-2021-034

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