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

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Statistics in Transition New Series

Polish Statistical Association

Central Statistical Office of Poland

Subject: Economics, Statistics & Probability

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ISSN: 1234-7655
eISSN: 2450-0291

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VOLUME 22 , ISSUE 3 (September 2021) > List of articles

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

Syed Abdul Rehman * / Javid Shabbir *

Keywords : order statistics, ranked set sampling, relative efficiency, unbiased estimator, imperfect ranking

Citation Information : Statistics in Transition New Series. Volume 22, Issue 3, Pages 193-205, DOI: https://doi.org/10.21307/stattrans-2021-034

License : (CC BY-NC-ND 4.0)

Received Date : 12-October-2019 / Accepted: 17-February-2021 / Published Online: 05-September-2021

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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).

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