{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,2]],"date-time":"2026-03-02T21:42:22Z","timestamp":1772487742379,"version":"3.50.1"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"13","license":[{"start":{"date-parts":[[2021,5,20]],"date-time":"2021-05-20T00:00:00Z","timestamp":1621468800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,5,20]],"date-time":"2021-05-20T00:00:00Z","timestamp":1621468800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2021,7]]},"DOI":"10.1007\/s00500-021-05787-1","type":"journal-article","created":{"date-parts":[[2021,5,20]],"date-time":"2021-05-20T08:25:41Z","timestamp":1621499141000},"page":"8007-8013","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["New estimator for the variances of strata in ranked set sampling"],"prefix":"10.1007","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2355-9259","authenticated-orcid":false,"given":"M.","family":"Mahdizadeh","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6176-0607","authenticated-orcid":false,"given":"Ehsan","family":"Zamanzade","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,5,20]]},"reference":[{"key":"5787_CR1","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1016\/0378-3758(94)00102-2","volume":"46","author":"N Altman","year":"1995","unstructured":"Altman N, Leger C (1995) Bandwidth selection for Kernel distribution function estimation. J Statist Plann Inference 46:195\u2013214","journal-title":"J Statist Plann Inference"},{"key":"5787_CR2","volume-title":"Ranked Set Sampling, 65 Years Improving the Accuracy in Data Gathering","author":"CN Bouza-Herrera","year":"2019","unstructured":"Bouza-Herrera CN, Al-Omari AI (2019) Ranked Set Sampling, 65 Years Improving the Accuracy in Data Gathering. Academic Press, NY"},{"key":"5787_CR3","doi-asserted-by":"publisher","first-page":"2513","DOI":"10.1016\/j.jspi.2010.11.043","volume":"141","author":"M Chen","year":"2011","unstructured":"Chen M, Lim J (2011) Estimating variances of strata in ranked set sampling. J Statist Plann Inference 141:2513\u20132518","journal-title":"J Statist Plann Inference"},{"key":"5787_CR4","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1007\/s10651-012-0188-1","volume":"19","author":"J Frey","year":"2012","unstructured":"Frey J (2012) Nonparametric mean estimation using partially ordered sets. Environ Ecol Statist 19:309\u2013326","journal-title":"Environ Ecol Statist"},{"key":"5787_CR5","doi-asserted-by":"publisher","first-page":"453","DOI":"10.1016\/j.jkss.2014.01.003","volume":"43","author":"J Frey","year":"2014","unstructured":"Frey J (2014) Bootstrap confidence bands for the CDF using ranked-set sampling. Journal of the Korean Statistical Society 43:453\u2013461","journal-title":"Journal of the Korean Statistical Society"},{"key":"5787_CR6","doi-asserted-by":"publisher","first-page":"708","DOI":"10.1198\/016214506000001248","volume":"102","author":"J Frey","year":"2007","unstructured":"Frey J, Ozturk O, Deshpande JV (2007) Nonparametric tests for perfect judgment rankings. J Am Statist Assoc 102:708\u2013717","journal-title":"J Am Statist Assoc"},{"key":"5787_CR7","volume-title":"Nonparametric Statistical Inference","author":"JD Gibbons","year":"2011","unstructured":"Gibbons JD, Chakraborti S (2011) Nonparametric Statistical Inference, 5th edn. Chapman and Hall\/CRC, New York","edition":"5"},{"key":"5787_CR8","doi-asserted-by":"publisher","first-page":"529","DOI":"10.1002\/env.684","volume":"15","author":"S Gulati","year":"2004","unstructured":"Gulati S (2004) Smooth non-parametric estimation of the distribution function from balanced ranked set samples. Environmetrics 15:529\u2013539","journal-title":"Environmetrics"},{"key":"5787_CR9","doi-asserted-by":"publisher","first-page":"1285","DOI":"10.1007\/s00180-017-0716-4","volume":"32","author":"M Mahdizadeh","year":"2017","unstructured":"Mahdizadeh M, Strzalkowska-Kominiak E (2017) Resampling based inference for a distribution function using censored ranked set samples. Comput Statist 32:1285\u20131308","journal-title":"Comput Statist"},{"key":"5787_CR10","doi-asserted-by":"publisher","first-page":"1325","DOI":"10.1007\/s00180-018-0795-x","volume":"33","author":"M Mahdizadeh","year":"2018","unstructured":"Mahdizadeh M, Zamanzade E (2018a) Interval estimation of $$P(X<Y)$$ in ranked set sampling. Comput Statist 33:1325\u20131348","journal-title":"Comput Statist"},{"key":"5787_CR11","doi-asserted-by":"publisher","first-page":"750","DOI":"10.1080\/02331888.2018.1477157","volume":"52","author":"M Mahdizadeh","year":"2018","unstructured":"Mahdizadeh M, Zamanzade E (2018b) Smooth estimation of a reliability function in ranked set sampling. Statistics 52:750\u2013768","journal-title":"Statistics"},{"key":"5787_CR12","doi-asserted-by":"publisher","first-page":"5904","DOI":"10.1080\/03610926.2017.1402053","volume":"47","author":"M Mahdizadeh","year":"2018","unstructured":"Mahdizadeh M, Zamanzade E (2018c) Stratified pair ranked set sampling. Commun Statist Theory Methods 47:5904\u20135915","journal-title":"Commun Statist Theory Methods"},{"key":"5787_CR13","doi-asserted-by":"publisher","DOI":"10.1080\/03610918.2019.1700276","author":"M Mahdizadeh","year":"2019","unstructured":"Mahdizadeh M, Zamanzade E (2019) On interval estimation of the population mean in ranked set sampling. Commun Statist Simulat Comput. https:\/\/doi.org\/10.1080\/03610918.2019.1700276","journal-title":"Commun Statist Simulat Comput"},{"key":"5787_CR14","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1071\/AR9520385","volume":"3","author":"GA McIntyre","year":"1952","unstructured":"McIntyre GA (1952) A method of unbiased selective sampling using ranked sets. Australian J Agri Res 3:385\u2013390","journal-title":"Australian J Agri Res"},{"key":"5787_CR15","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1080\/00949650008811990","volume":"65","author":"A Polanski","year":"2000","unstructured":"Polanski A, Baker ER (2000) Multistage plug-in bandwidth selection for Kernel distribution function estimates. J Statist Comput Simulat 65:63\u201380","journal-title":"J Statist Comput Simulat"},{"issue":"8","key":"5787_CR16","doi-asserted-by":"publisher","first-page":"1","DOI":"10.18637\/jss.v050.i08","volume":"50","author":"A Quintela-del-R\u00edo","year":"2012","unstructured":"Quintela-del-R\u00edo A, Est\u00e9vez-P\u00e9rez G (2012) Nonparametric kernel distribution function estimation with kerdiest: an R package for bandwidth choice and applications. J Statist Softw 50(8):1\u201321","journal-title":"J Statist Softw"},{"key":"5787_CR17","doi-asserted-by":"publisher","first-page":"374","DOI":"10.1080\/01621459.1988.10478607","volume":"83","author":"SL Stokes","year":"1988","unstructured":"Stokes SL, Sager TW (1988) Characterization of a ranked set sample with applications to estimating distribution functions. J Am Statist Assoc 83:374\u2013381","journal-title":"J Am Statist Assoc"},{"key":"5787_CR18","doi-asserted-by":"crossref","unstructured":"Wolfe DA (2012) Ranked set sampling: its relevance and impact on statistical inference. ISRN Prob Statist, Article ID 568385:1\u201332","DOI":"10.5402\/2012\/568385"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-021-05787-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00500-021-05787-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-021-05787-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,6,14]],"date-time":"2021-06-14T13:26:51Z","timestamp":1623677211000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00500-021-05787-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,5,20]]},"references-count":18,"journal-issue":{"issue":"13","published-print":{"date-parts":[[2021,7]]}},"alternative-id":["5787"],"URL":"https:\/\/doi.org\/10.1007\/s00500-021-05787-1","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,5,20]]},"assertion":[{"value":"5 April 2021","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 May 2021","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human participants or animals performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Human and animal rights"}}]}}