On the improvement of paired ranked set sampling to estimate population mean
On the improvement of paired ranked set sampling to estimate population mean
Author(s): Syed Abdul Rehman, Javid ShabbirSubject(s): Agriculture, Energy and Environmental Studies, Methodology and research technology, Human Ecology, Accounting - Business Administration
Published by: Główny Urząd Statystyczny
Keywords: order statistics; ranked set sampling; relative efficiency; unbiased estimator; imperfect ranking;
Summary/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).
Journal: Statistics in Transition. New Series
- Issue Year: 22/2021
- Issue No: 3
- Page Range: 193-205
- Page Count: 13
- Language: English