{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,1,6]],"date-time":"2024-01-06T02:39:06Z","timestamp":1704508746735},"reference-count":45,"publisher":"Frontiers Media SA","license":[{"start":{"date-parts":[[2022,10,17]],"date-time":"2022-10-17T00:00:00Z","timestamp":1665964800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["frontiersin.org"],"crossmark-restriction":true},"short-container-title":["Front. Appl. Math. Stat."],"abstract":"Nonresponse is a major problem encountered by surveyors when conducting sampling surveys. The present study suggested a na\u00efve modified Searls method for the elevated estimation of the population mean of the primary variable under investigation by utilizing the known auxiliary parameters. The bias along with the mean squared error (MSE) of the introduced estimator is calculated up to the approximation of the first order. We compared the presented estimator with a competing usual unbiased estimator and other competing population mean estimators regarding the issue of nonresponse. The efficiency criteria of the introduced estimator outperforming the other estimators in the competition are determined and verified using five real data sets. The MSEs for the introduced estimator and the other estimators in the competition are calculated for the five considered populations. The estimator with the least MSE or highest percentage relative efficiency (PRE) is recommended for practical exercise in different areas of applications.<\/jats:p>","DOI":"10.3389\/fams.2022.969068","type":"journal-article","created":{"date-parts":[[2022,10,17]],"date-time":"2022-10-17T13:27:26Z","timestamp":1666013246000},"update-policy":"http:\/\/dx.doi.org\/10.3389\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Restructured searls family of estimators of population mean in the presence of nonresponse"],"prefix":"10.3389","volume":"8","author":[{"given":"Abdullah Ali H.","family":"Ahmadini","sequence":"first","affiliation":[]},{"given":"Taruna","family":"Yadav","sequence":"additional","affiliation":[]},{"given":"S. K.","family":"Yadav","sequence":"additional","affiliation":[]},{"given":"Asamh Saleh M.","family":"Al Luhayb","sequence":"additional","affiliation":[]}],"member":"1965","published-online":{"date-parts":[[2022,10,17]]},"reference":[{"key":"B1","doi-asserted-by":"publisher","first-page":"517","DOI":"10.1080\/01621459.1946.10501894","article-title":"The problem of non-response in sample surveys","volume":"41","author":"Hansen","year":"1946","journal-title":"J Am Stat Assoc."},{"key":"B2","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1080\/01621459.1956.10501321","article-title":"A sampling procedure for mailed questionnaires","volume":"51","author":"El-Badry","year":"1956","journal-title":"J Am Stat Assoc."},{"key":"B3","first-page":"217","article-title":"Ratio estimation with sub sampling the non-respondents","volume":"12","author":"Rao","year":"1986","journal-title":"Surv Methodol."},{"key":"B4","first-page":"195","article-title":"Study of conventional and alternative two phase sampling ratio, product and regression estimators in presence of nonresponse","volume":"65","author":"Khare","year":"1995","journal-title":"Proc Natl Acad Sci India Sect."},{"key":"B5","doi-asserted-by":"publisher","first-page":"1779","DOI":"10.1080\/03610929708832012","article-title":"Transformed ratio type estimators for the population mean in the presence of nonresponse","volume":"7","author":"Khare","year":"1997","journal-title":"Commun Stat."},{"key":"B6","first-page":"163","article-title":"Random non-response on study variable versus on study as well as auxiliary variables","volume":"54","author":"Tracy","year":"1994","journal-title":"Statistica."},{"key":"B7","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1111\/j.1467-842X.2008.00525.x","article-title":"A regression approach to the estimation of the finite population mean in the presence of non-response Australian and New Zealand","volume":"4","author":"Singh","year":"2008","journal-title":"J Statistics."},{"key":"B8","doi-asserted-by":"publisher","first-page":"537","DOI":"10.5351\/CKSS.2011.18.4.537","article-title":"Estimation of the population mean in presence of non-response","volume":"18","author":"Kumar","year":"2011","journal-title":"Commun Stat."},{"key":"B9","doi-asserted-by":"publisher","first-page":"1552","DOI":"10.1080\/03610918.2012.736579","article-title":"A generalized class of ratio type exponential estimators of population mean under linear transformation of auxiliary variable","volume":"43","author":"Grover","year":"2014","journal-title":"Commun Stat."},{"key":"B10","doi-asserted-by":"publisher","first-page":"012071","DOI":"10.1088\/1742-6596\/1132\/1\/012071","article-title":"Odhiambo J. Estimating a finite population mean under random non response in two stage cluster sampling with replacement","volume":"1132","author":"Bii","year":"2018","journal-title":"J. Physics: Conference Series."},{"key":"B11","doi-asserted-by":"publisher","first-page":"1105","DOI":"10.1080\/09720510.2018.1478623","article-title":"Estimation of population mean in presence of random non-response","volume":"21","author":"Sharma","year":"2018","journal-title":"J Stat Manag Syst."},{"key":"B12","doi-asserted-by":"publisher","first-page":"259","DOI":"10.21307\/stattrans-2018-015","article-title":"A generalized exponential type estimator of population mean in the presence of non-response","volume":"19","author":"Muneer","year":"2018","journal-title":"Stat Transit."},{"key":"B13","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1007\/PL00003973","article-title":"Estimation of ratio of population means in survey sampling when some observations are missing","volume":"48","author":"Toutenburg","year":"1998","journal-title":"Metrika."},{"key":"B14","first-page":"223","article-title":"Efficient estimation of population mean using incomplete survey data on study and auxiliary characteristics","volume":"63","author":"Toutenburg","year":"2003","journal-title":"Statistica."},{"key":"B15","first-page":"63","article-title":"Estimation of the ratio of the two population means using multi auxiliary characteristics in the presence of non-response","volume-title":"Statistical Techniques in Life Testing. Reliability, Sampling Theory and Quality Control.","author":"Khare","year":"2007"},{"key":"B16","doi-asserted-by":"publisher","first-page":"3","DOI":"10.21307\/stattrans-2019-025","article-title":"On the class of estimators for population mean using multi auxiliary characters in the presence of non-response","volume":"10","author":"Khare","year":"2009","journal-title":"Stat Transit."},{"key":"B17","doi-asserted-by":"publisher","first-page":"583","DOI":"10.1080\/01621459.1971.10482310","article-title":"Multiphase sampling in non-response problems","volume":"66","author":"Srinath","year":"1971","journal-title":"J Am Stat Assoc."},{"key":"B18","first-page":"73","article-title":"Double sampling for ratio estimator for the population mean in the presence of non-response","volume":"20","author":"Tabasum","year":"2006","journal-title":"Assam Statistical Review."},{"key":"B19","doi-asserted-by":"publisher","first-page":"791","DOI":"10.1080\/03610920902796056","article-title":"Improved estimation of finite population mean using sub-sampling to deal with non response in two phase sampling scheme","volume":"39","author":"Singh","year":"2010","journal-title":"Commun Stat Theory Method."},{"key":"B20","doi-asserted-by":"publisher","first-page":"4127","DOI":"10.1080\/03610926.2011.643851","article-title":"On estimating the finite population mean using two auxiliary variables in two phase sampling in the presence of non response","volume":"42","author":"Shabbir","year":"2013","journal-title":"Commun Stat Theory Method."},{"key":"B21","first-page":"51","article-title":"Estimation of finite population mean using known coefficient of variation in the simultaneous presence of non-response and measurement errors under double sampling scheme","volume":"11","author":"Yadav","year":"2018","journal-title":"J Reliability Stat Stud."},{"key":"B22","first-page":"125","article-title":"Estimation of population mean in repeat surveys in the presence of measurement errors","volume":"53","author":"Sud","year":"2000","journal-title":"J Indian Soc Agric Stat."},{"key":"B23","first-page":"35","article-title":"and Shalabh, Effect of measurement errors on the regression method of estimation in survey sampling","volume":"35","author":"Srivastava","year":"2001","journal-title":"J Stat Res."},{"key":"B24","doi-asserted-by":"publisher","first-page":"145","DOI":"10.15446\/rce.v38n1.48807","article-title":"Estimation of population mean in the presence of non-response and measurement error","volume":"38","author":"Kumar","year":"2015","journal-title":"Revista Colombiana de Estadistica."},{"key":"B25","doi-asserted-by":"publisher","first-page":"707","DOI":"10.1080\/15598608.2016.1216488","article-title":"Improved estimation of population mean in presence of nonresponse and measurement error","volume":"10","author":"Kumar","year":"2016","journal-title":"J Stat Theory Pract."},{"key":"B26","first-page":"108","article-title":"Effect of measurement error and non-response on estimation of population mean","volume":"39","author":"Singh","year":"2018","journal-title":"Revista Investigacion Operacional."},{"key":"B27","doi-asserted-by":"publisher","first-page":"311","DOI":"10.13052\/jrss0974-8024.14115","article-title":"Adapted exponential type estimator in the presence of non-response","volume":"14","author":"Unal","year":"2021","journal-title":"J Reliability Stat Stud."},{"key":"B28","doi-asserted-by":"publisher","first-page":"1307","DOI":"10.33889\/IJMEMS.2019.4.6-103","article-title":"Dexterous estimation of population mean in survey sampling under non-response error","volume":"4","author":"Yadav","year":"2019","journal-title":"Int J Math Eng Manag"},{"key":"B29","first-page":"438","article-title":"Estimation of population mean using transformed auxiliary variable and non-response","volume":"41","author":"Sharma","year":"2020","journal-title":"Revista Investigacion Operacional."},{"key":"B30","doi-asserted-by":"publisher","first-page":"1","DOI":"10.5614\/j.math.fund.sci.2021.53.1.1","article-title":"New Family of exponential type estimators in the presence of non-response","volume":"53","author":"Unal","year":"2021","journal-title":"J Math Fundam Sci."},{"key":"B31","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1080\/16583655.2022.2034343","article-title":"new population mean estimator under non-response cases","volume":"16","author":"Unal","year":"2022","journal-title":"J Taibah Uni Sci."},{"key":"B32","doi-asserted-by":"publisher","first-page":"12813","DOI":"10.1016\/j.aej.2022.06.031","article-title":"Improved procedures for mean estimation under non-response","volume":"61","author":"Jaiswal","year":"2022","journal-title":"Alexandria Eng J."},{"key":"B33","doi-asserted-by":"publisher","first-page":"8435","DOI":"10.1080\/03610926.2016.1183782","article-title":"Use of scrambled response model in estimating the finite population mean in presence of non response when coefficient of variation is known","volume":"46","author":"Ahmed","year":"2017","journal-title":"Commun Stat Theory Method."},{"key":"B34","first-page":"51","article-title":"Estimation of finite population mean using known coefficient of variation in the simultaneous presence of non-response and measurement errors under double sampling scheme","volume":"11","author":"Yadav","year":"2018","journal-title":"J Reliability Stat Stud."},{"key":"B35","doi-asserted-by":"publisher","first-page":"e0222701","DOI":"10.1371\/journal.pone.0222701","article-title":"Shabbir J. Model based estimation of population total in presence of non-ignorable non-response","volume":"14","author":"Ahmed","year":"2019","journal-title":"PLoS ONE."},{"key":"B36","doi-asserted-by":"publisher","first-page":"e0243584","DOI":"10.1371\/journal.pone.0243584","article-title":"Estimation of finite population distribution function with dual use of auxiliary information under non-response","volume":"15","author":"Hussain","year":"2020","journal-title":"PLoS ONE."},{"key":"B37","doi-asserted-by":"publisher","first-page":"4592","DOI":"10.3934\/math.2022256","article-title":"Estimation of finite population mean using dual auxiliary variable for non-response using simple random sampling","volume":"7","author":"Ahmad","year":"2022","journal-title":"AIMS Mathematics."},{"key":"B38","doi-asserted-by":"publisher","first-page":"0906","DOI":"10.48550\/arXiv.0906.2462","article-title":"Estimation of mean in presence of non-response using exponential estimator","author":"Singh","year":"2009","journal-title":"arXiv"},{"key":"B39","doi-asserted-by":"publisher","first-page":"1225","DOI":"10.1080\/01621459.1964.10480765","article-title":"The utilization of a known coefficient of variation in the estimation procedure","volume":"59","author":"Searls","year":"1964","journal-title":"J Am Stat Assoc."},{"key":"B40","first-page":"235","article-title":"Utilization of coefficient of variation in the estimation of population mean using auxiliary character in the presence of non-response","volume":"32","author":"Khare","year":"2009","journal-title":"Natl Acad Sci Lett."},{"key":"B41","doi-asserted-by":"publisher","first-page":"442","DOI":"10.1504\/IJCSM.2015.072963","article-title":"Estimation of mean using double sampling the non-respondents with known and unknown variance","volume":"6","author":"Sinha","year":"2015","journal-title":"Int J Comput Sci Math."},{"key":"B42","first-page":"111","article-title":"Estimation of population mean using auxiliary character in presence of non-response","volume":"16","author":"Khare","year":"1993","journal-title":"Natl Acad Sci Lett."},{"key":"B43","doi-asserted-by":"publisher","first-page":"501","DOI":"10.1007\/s40009-015-0380-6","article-title":"Families of estimators for finite population variance using auxiliary character under double sampling the non-respondents","volume":"38","author":"Sinha","year":"2015","journal-title":"Natl Acad Sci Lett."},{"key":"B44","first-page":"115","article-title":"Ratio estimator for the population mean at the current occasion in the presence of non-response in successive sampling","volume":"40","author":"Satici","year":"2011","journal-title":"Hacettepe J Math Stat."},{"key":"B45","doi-asserted-by":"publisher","first-page":"1228","DOI":"10.33889\/IJMEMS.2019.4.5-097","article-title":"Improved estimators for estimating average yield using auxiliary variable","volume":"4","author":"Yadav","year":"2019","journal-title":"Int J Comput Sci Math."}],"container-title":["Frontiers in Applied Mathematics and Statistics"],"original-title":[],"link":[{"URL":"https:\/\/www.frontiersin.org\/articles\/10.3389\/fams.2022.969068\/full","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,10,17]],"date-time":"2022-10-17T13:27:47Z","timestamp":1666013267000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.frontiersin.org\/articles\/10.3389\/fams.2022.969068\/full"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,10,17]]},"references-count":45,"alternative-id":["10.3389\/fams.2022.969068"],"URL":"https:\/\/doi.org\/10.3389\/fams.2022.969068","relation":{},"ISSN":["2297-4687"],"issn-type":[{"value":"2297-4687","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,10,17]]}}}