{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,15]],"date-time":"2026-07-15T14:44:34Z","timestamp":1784126674671,"version":"3.55.0"},"reference-count":47,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2023,5,24]],"date-time":"2023-05-24T00:00:00Z","timestamp":1684886400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100002383","name":"King Saud University","doi-asserted-by":"publisher","award":["RSPD2023R548"],"award-info":[{"award-number":["RSPD2023R548"]}],"id":[{"id":"10.13039\/501100002383","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>Ranked set sampling (RSS) has been proven an efficient alternative to simple random sampling (SRS). The use of auxiliary information also helps to improve the efficiency of the estimation procedures. Therefore, to accomplish higher efficiency and discuss the optimality issues, we proffer some optimal classes of estimators under RSS by employing multi-auxiliary information. It is seen that the ordinary mean estimator, traditional regression, and ratio estimators are the subsets of the proffered estimators. The expressions of the bias and mean square error are reported. An analytical comparison under some optimality conditions points out the ascendancy of the proffered classes of estimators over all reviewed works. The theoretical results have been furnished with computational study by employing some artificial and natural populations. The computational results show that the proffered estimators outperform the conventional estimators reviewed in this study. Furthermore, apposite advices are suggested to the survey persons.<\/jats:p>","DOI":"10.3390\/axioms12060515","type":"journal-article","created":{"date-parts":[[2023,5,25]],"date-time":"2023-05-25T02:30:06Z","timestamp":1684981806000},"page":"515","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Some Optimal Classes of Estimators Based on Multi-Auxiliary Information"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3931-888X","authenticated-orcid":false,"given":"Shashi","family":"Bhushan","sequence":"first","affiliation":[{"name":"Department of Statistics, University of Lucknow, Lucknow 226007, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2775-6548","authenticated-orcid":false,"given":"Anoop","family":"Kumar","sequence":"additional","affiliation":[{"name":"Department of Statistics, Amity University, Lucknow 226028, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8884-8281","authenticated-orcid":false,"given":"Najwan","family":"Alsadat","sequence":"additional","affiliation":[{"name":"Department of Quantitative Analysis, College of Business Administration, King Saud University, P.O. Box 71115, Riyadh 11587, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4685-9254","authenticated-orcid":false,"given":"Manahil SidAhmed","family":"Mustafa","sequence":"additional","affiliation":[{"name":"Department of Statistics, Faculty of Science, University of Tabuk, Tabuk 47713, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5972-8088","authenticated-orcid":false,"given":"Meshayil M.","family":"Alsolmi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science and Arts at Khulis, University of Jeddah, Jeddah 22233, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,5,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"154","DOI":"10.1093\/biomet\/45.1-2.154","article-title":"Multivariate ratio estimation for finite population","volume":"43","author":"Olkin","year":"1958","journal-title":"Biometrika"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"270","DOI":"10.1080\/01621459.1965.10480789","article-title":"On a method of using multiauxiliary information in sample survey","volume":"62","author":"Raj","year":"1965","journal-title":"J. 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