{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T20:44:33Z","timestamp":1770756273257,"version":"3.50.0"},"reference-count":31,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2025,3,29]],"date-time":"2025-03-29T00:00:00Z","timestamp":1743206400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Scientific Research Deanship at the University of Ha\u2019il- Saudi Arabia","award":["RG-24 067"],"award-info":[{"award-number":["RG-24 067"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>When extreme values or outliers occur in asymmetric datasets, conventional mean estimation methods suffer from low accuracy and reliability. This study introduces a novel class of robust S\u00e4rndal-type mean estimators utilizing re-descending M-estimator coefficients. These estimators effectively combine the benefits of robust regression techniques and the integration of extreme values to improve mean estimation accuracy under simple random sampling. The proposed methodology leverages distinct re-descending coefficients from prior studies. Performance evaluation is conducted using three real-world datasets and three synthetically generated datasets containing outliers, with results indicating superior performance of the proposed estimators in terms of mean squared error (MSE) and percentage relative efficiency (PRE). Hence, the robustness, adaptability, and practical importance of these estimators are illustrated by these findings for survey sampling and more generally for data-intensive contexts.<\/jats:p>","DOI":"10.3390\/axioms14040261","type":"journal-article","created":{"date-parts":[[2025,3,31]],"date-time":"2025-03-31T03:25:02Z","timestamp":1743391502000},"page":"261","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Robust S\u00e4rndal-Type Mean Estimators with Re-Descending Coefficients"],"prefix":"10.3390","volume":"14","author":[{"given":"Khudhayr A.","family":"Rashedi","sequence":"first","affiliation":[{"name":"Department of Mathematics, College of Science, University of Ha\u2019il, Ha\u2019il 81481, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4576-2354","authenticated-orcid":false,"given":"Alanazi Talal","family":"Abdulrahman","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, University of Ha\u2019il, Ha\u2019il 81481, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tariq S.","family":"Alshammari","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, University of Ha\u2019il, Ha\u2019il 81481, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1603-3651","authenticated-orcid":false,"given":"Khalid M. K.","family":"Alshammari","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, University of Ha\u2019il, Ha\u2019il 81481, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0178-5298","authenticated-orcid":false,"given":"Usman","family":"Shahzad","sequence":"additional","affiliation":[{"name":"Department of Management Science, College of Business Administration, Hunan University, Changsha 410082, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Javid","family":"Shabbir","sequence":"additional","affiliation":[{"name":"Department of Statistics, University of Wah, Rawalpindi 47040, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tahir","family":"Mehmood","sequence":"additional","affiliation":[{"name":"School of Natural Science (SNS), National University of Sciences and Technology (NUST), Islamabad 44000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1124-7485","authenticated-orcid":false,"given":"Ishfaq","family":"Ahmad","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,3,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1007\/s13370-024-01232-2","article-title":"Optimal classes of estimators for population mean using higher order moments","volume":"36","author":"Bhushan","year":"2025","journal-title":"Afr. 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