 Ratio estimation of the population mean using auxiliary information in simple random sampling and median ranked set samplingAmer Ibrahim Al-Omari Statistics & Probability Letters, 2012, vol. 82, issue 11, 1883-1890 Abstract: In this article, two modified ratio estimators of the population mean are suggested provided that the first or third quartiles of the auxiliary variable can be established when the mean of the auxiliary variable is known. The double-sampling method is used to estimate the mean of the auxiliary variable if it is unknown. The suggested estimators are investigated under simple random sampling (SRS) and median ranked set sampling (MRSS) schemes. The new estimators when using MRSS are compared to their counterparts under SRS. The bias and the mean square error of the proposed estimators are derived. It turns out that the estimators are approximately unbiased and the MRSS estimators are more efficient than the SRS estimators, on the basis of the same sample size, correlation coefficient, and quartile. A real data set is used for illustration. Keywords: Auxiliary variable; Ratio estimator; Simple random sampling; Median ranked set sampling; Double sampling (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:82:y:2012:i:11:p:1883-1890 Ordering information: This journal article can be ordered from DOI: 10.1016/j.spl.2012.07.001 Access Statistics for this article Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul More articles in Statistics & Probability Letters from Elsevier |
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