{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,4]],"date-time":"2024-06-04T14:10:11Z","timestamp":1717510211662},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2014,10,30]],"date-time":"2014-10-30T00:00:00Z","timestamp":1414627200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Stat Papers"],"published-print":{"date-parts":[[2016,3]]},"DOI":"10.1007\/s00362-014-0638-y","type":"journal-article","created":{"date-parts":[[2014,10,29]],"date-time":"2014-10-29T17:51:55Z","timestamp":1414605115000},"page":"43-53","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Mean driven balance and uniformly best linear unbiased estimators"],"prefix":"10.1007","volume":"57","author":[{"given":"Roman","family":"Zmy\u015blony","sequence":"first","affiliation":[]},{"given":"Jo\u00e3o T.","family":"Mexia","sequence":"additional","affiliation":[]},{"given":"Francisco","family":"Carvalho","sequence":"additional","affiliation":[]},{"given":"In\u00eas J.","family":"Sequeira","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,10,30]]},"reference":[{"key":"638_CR1","doi-asserted-by":"crossref","first-page":"1109","DOI":"10.1007\/s00362-013-0512-3","volume":"54","author":"OM Baksalary","year":"2013","unstructured":"Baksalary OM, Trenkler G, Liski E (2013) Let us do the twist again. Stat Pap 54:1109\u20131119","journal-title":"Stat Pap"},{"key":"638_CR2","series-title":"Lecture Notes in Statistics","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1192-1","volume-title":"Block designs. A randomization approach","author":"T Cali\u0144ski","year":"2000","unstructured":"Cali\u0144ski T, Kageyama S (2000) Analysis. Block designs. A randomization approach, vol 1., Lecture Notes in StatisticsSpringer, New York"},{"key":"638_CR3","series-title":"Lecture Notes in Statistics","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4419-9246-8","volume-title":"Block designs. A randomization approach.","author":"T Cali\u0144ski","year":"2003","unstructured":"Cali\u0144ski T, Kageyama S (2003) Design. Block designs. A randomization approach., vol 2., Lecture Notes in StatisticsSpringer, New York"},{"issue":"2","key":"638_CR4","doi-asserted-by":"crossref","first-page":"221","DOI":"10.7151\/dmps.1129","volume":"30","author":"C Fernandes","year":"2010","unstructured":"Fernandes C, Ramos P (2010) Algebraic structure of step nesting designs. Discus Math Prob Stat 30(2):221\u2013235","journal-title":"Discus Math Prob Stat"},{"key":"638_CR5","doi-asserted-by":"crossref","first-page":"1627","DOI":"10.1063\/1.3636920","volume":"1389","author":"C\u00e9lia Fernandes","year":"2011","unstructured":"Fernandes C\u00e9lia, Mexia Jo\u00e3o T, Ramos Paulo, Carvalho Francisco (2011) Models with stair nesting. AIP Conf Proc 1389:1627\u20131630","journal-title":"AIP Conf Proc"},{"key":"638_CR6","first-page":"173","volume":"23","author":"M Fonseca","year":"2003","unstructured":"Fonseca M, Mexia JT, Zmy\u015blony R (2003) Estimators and tests for variance components in cross nested orthogonal models. Discus Math Prob Stat 23:173\u2013201","journal-title":"Discus Math Prob Stat"},{"key":"638_CR7","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1007\/s003620100054","volume":"42","author":"B Gotu","year":"2001","unstructured":"Gotu B (2001) The equality of OLS and GLS estimators in the linear regression model when the disturbances are spatially correlated. Stat Pap 42:253\u2013263","journal-title":"Stat Pap"},{"key":"638_CR8","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1007\/s00362-007-0055-6","volume":"50","author":"J Isotalo","year":"2009","unstructured":"Isotalo J, Puntanen S (2009) A note on the equality of the OLSE and the BLUE of the parametric function in the general Gauss\u2013Markov model. Stat Pap 50:185\u2013193","journal-title":"Stat Pap"},{"key":"638_CR9","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1007\/BF02929707","volume":"39","author":"A Jaeger","year":"1998","unstructured":"Jaeger A, Kr\u00e4mer W (1998) A final twist on the equality of OLS and GLS. Stat Pap 39:321\u2013324","journal-title":"Stat Pap"},{"key":"638_CR10","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1007\/BF02926589","volume":"37","author":"W Kr\u00e4mer","year":"1996","unstructured":"Kr\u00e4mer W, Bartels R, Fiebig DG (1996) Another twist on the equality of OLS and GLS. Stat Pap 37:277\u2013281","journal-title":"Stat Pap"},{"issue":"1","key":"638_CR11","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1214\/aoms\/1177698505","volume":"39","author":"W Kruskal","year":"1968","unstructured":"Kruskal W (1968) When are Gauss\u2013Markov and least squares estimators identical? A coordinate-free approach. Ann Math Stat 39(1):70\u201375","journal-title":"Ann Math Stat"},{"key":"638_CR12","unstructured":"Mexia JT, Vaquinhas R, Fonseca M, Zmy\u015blony R (2010) COBS: segregation, matching, crossing and nesting. In: fourth International conference of Latest Trends and Applied Mathematics, Simulation, Modelling (ASM\u201910):249\u2013255"},{"key":"638_CR13","doi-asserted-by":"crossref","unstructured":"Nelder JA (1965a) The analysis of randomized experiments with orthogonal block structure. I \u2014block structure and the null analysis of variance. Proc R Soc Lond. Series A, Math Phys Sci 283(1393):147\u2013162","DOI":"10.1098\/rspa.1965.0012"},{"key":"638_CR14","doi-asserted-by":"crossref","unstructured":"Nelder JA (1965b) The analysis of randomized experiments with orthogonal block structure. II\u2014Treatment, structure and the general analysis of variance. Proc R Soc Lond Series A Math Phys Sci 283(1393):163\u2013178","DOI":"10.1098\/rspa.1965.0013"},{"issue":"3","key":"638_CR15","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1080\/00031305.1989.10475644","volume":"43","author":"S Puntanen","year":"1989","unstructured":"Puntanen S, Styan GPH (1989) The equality of the ordinary least squares estimator and the best linear unbiased estimator. Am Stat 43(3):153\u2013161","journal-title":"Am Stat"},{"key":"638_CR16","volume-title":"Matrix analysis for statistics","author":"Schott","year":"1997","unstructured":"Schott, James R (1997) Matrix analysis for statistics. A Wiley InterScience Publication, New York"},{"key":"638_CR17","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1016\/S0378-3758(98)00071-8","volume":"73","author":"M VanLeeuwen Dawn","year":"1998","unstructured":"VanLeeuwen Dawn M, Birks David S, Seely Justus F, Mills JJ, Greenwood JA, Jones CW (1998) Sufficient conditions for orthogonal designs in mixed linear models. J Stat Plan Infer 73:373\u2013389","journal-title":"J Stat Plan Infer"},{"key":"638_CR18","doi-asserted-by":"crossref","first-page":"1092","DOI":"10.1214\/aoms\/1177698779","volume":"38","author":"G Zyskind","year":"1967","unstructured":"Zyskind G (1967) On canonical forms, non-negative covariance matrices and best and simple least squares linear estimators in linear models. Ann Math Stat 38:1092\u20131109","journal-title":"Ann Math Stat"},{"key":"638_CR19","doi-asserted-by":"crossref","unstructured":"Zmy\u015blony R (1980) A characterization of best linear unbiased estimators in the general linear model. Lect Notes Stat 2:365\u2013373","DOI":"10.1007\/978-1-4615-7397-5_27"}],"container-title":["Statistical Papers"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00362-014-0638-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00362-014-0638-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00362-014-0638-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,4]],"date-time":"2024-06-04T13:46:43Z","timestamp":1717508803000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00362-014-0638-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,10,30]]},"references-count":19,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2016,3]]}},"alternative-id":["638"],"URL":"https:\/\/doi.org\/10.1007\/s00362-014-0638-y","relation":{},"ISSN":["0932-5026","1613-9798"],"issn-type":[{"value":"0932-5026","type":"print"},{"value":"1613-9798","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,10,30]]}}}