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

Syed Abdul Rehman; Javid Shabbir

doi:10.21307/stattrans-2021-034

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

Syed Abdul Rehman Balochistan University of Information Technology, Engineering and Management Sciences, Pakistan ORCID:https://orcid.org/0000-0003-0992-9310 , Javid Shabbir Quaid-i-Azam University, Islamabad, Pakistan ORCID:https://orcid.org/0000-0002-0035-7072 Statistics in Transition new series, vol. 22, 2021, 3, pages: 193–205 Published online: 6 September 2021 DOI 10.21307/stattrans-2021-034

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ARTICLE

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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

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