{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T14:36:46Z","timestamp":1774622206334,"version":"3.50.1"},"reference-count":38,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2019,12,26]],"date-time":"2019-12-26T00:00:00Z","timestamp":1577318400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,12,26]],"date-time":"2019-12-26T00:00:00Z","timestamp":1577318400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Syst Sci Complex"],"published-print":{"date-parts":[[2020,8]]},"DOI":"10.1007\/s11424-019-8045-z","type":"journal-article","created":{"date-parts":[[2020,1,3]],"date-time":"2020-01-03T06:14:55Z","timestamp":1578032095000},"page":"1179-1199","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Estimation and Inference in Semi-Functional Partially Linear Measurement Error Models"],"prefix":"10.1007","volume":"33","author":[{"given":"Hanbing","family":"Zhu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Riquan","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gen","family":"Zhu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,12,26]]},"reference":[{"key":"8045_CR1","doi-asserted-by":"publisher","DOI":"10.1201\/9781420010138","volume-title":"Measurement Error in Nonlinear Model","author":"R J Carroll","year":"2006","unstructured":"Carroll R J, Ruppert D, St L A, et al, Measurement Error in Nonlinear Model, Chapman and Hall: London, 2006."},{"key":"8045_CR2","doi-asserted-by":"publisher","first-page":"520","DOI":"10.1080\/01621459.2000.10474229","volume":"95","author":"X H Lin","year":"2000","unstructured":"Lin X H and Carroll R J, Nonparametric function estimation for clustered data when the predictor is measured without\/with error, Journal of the American Statistical Association, 2000, 95: 520\u2013534.","journal-title":"Journal of the American Statistical Association"},{"key":"8045_CR3","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1007\/s10463-007-0146-0","volume":"61","author":"H Liang","year":"2009","unstructured":"Liang H, Generalized partially linear mixed-effects models incorporating mismeasured covariates, Annals of the Institute of Statistical Mathematics, 2009, 61: 27\u201346.","journal-title":"Annals of the Institute of Statistical Mathematics"},{"key":"8045_CR4","doi-asserted-by":"publisher","first-page":"939","DOI":"10.1111\/rssb.12196","volume":"79","author":"A Belloni","year":"2017","unstructured":"Belloni A, Rosenbaum M, and Tsybakov A B, Linear and conic programming estimators in high-dimensional errors-in-variables models, Journal of the Royal Statistical Society: Series B, 2017, 79: 939\u2013956.","journal-title":"Journal of the Royal Statistical Society: Series B"},{"key":"8045_CR5","doi-asserted-by":"publisher","first-page":"2101","DOI":"10.1016\/j.jspi.2013.07.014","volume":"143","author":"X Z Huang","year":"2013","unstructured":"Huang X Z and Zhang H M, Variable selection in linear measurement error models via penalized score functions, Journal of Statistical Planning and Inference, 2013, 143: 2101\u20132111.","journal-title":"Journal of Statistical Planning and Inference"},{"key":"8045_CR6","doi-asserted-by":"publisher","first-page":"726","DOI":"10.1016\/j.jmva.2008.08.003","volume":"100","author":"H Liang","year":"2009","unstructured":"Liang H and Song W X, Improved estimation in multiple linear regression models with measurement error and general constraint, Journal of Multivariate Analysis, 2009, 100: 726\u2013741.","journal-title":"Journal of Multivariate Analysis"},{"key":"8045_CR7","doi-asserted-by":"publisher","first-page":"595","DOI":"10.1023\/A:1022467212133","volume":"54","author":"X P Zhong","year":"2002","unstructured":"Zhong X P, Fung W K, and Wei B C, Estimation in linear models with random effects and errors-in-variables, Annals of the Institute of Statistical Mathematics, 2002, 54: 595\u2013606.","journal-title":"Annals of the Institute of Statistical Mathematics"},{"key":"8045_CR8","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1093\/biomet\/74.2.385","volume":"74","author":"D W Schafer","year":"1987","unstructured":"Schafer D W, Covariate measurement error in generalized linear models, Biometrika, 1987, 74: 385\u2013391.","journal-title":"Biometrika"},{"issue":"4","key":"8045_CR9","doi-asserted-by":"publisher","first-page":"739","DOI":"10.1080\/10618600.2018.1425626","volume":"27","author":"\u00f8 S\u00f8resen","year":"2018","unstructured":"S\u00f8resen \u00f8, Hellton K H, Frigenssi A, et al., Covariate selection in high-dimensional generalized linear models with measurement error, Journal of Computational and Graphical Statistics, 2018, 27(4): 739\u2013749.","journal-title":"Journal of Computational and Graphical Statistics"},{"key":"8045_CR10","doi-asserted-by":"publisher","first-page":"1257","DOI":"10.1214\/aos\/1176348248","volume":"19","author":"J Q Fan","year":"1991","unstructured":"Fan J Q, On the optimal rates of convergence for nonparametric deconvolution problems, The Annals of Statistics, 1991, 19: 1257\u20131272.","journal-title":"The Annals of Statistics"},{"key":"8045_CR11","doi-asserted-by":"publisher","first-page":"1900","DOI":"10.1214\/aos\/1176349402","volume":"21","author":"J Q Fan","year":"1993","unstructured":"Fan J Q and Truong Y, Nonparametric regression with errors in variables, The Annals of Statistics, 1993, 21: 1900\u20131925.","journal-title":"The Annals of Statistics"},{"key":"8045_CR12","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1080\/10485259508832628","volume":"4","author":"Y Q Fan","year":"1995","unstructured":"Fan Y Q, Average derivative estimation with errors-in-variables, Journal of Nonparametric Statistics, 1995, 4: 395\u2013407.","journal-title":"Journal of Nonparametric Statistics"},{"key":"8045_CR13","doi-asserted-by":"publisher","first-page":"541","DOI":"10.1093\/biomet\/86.3.541","volume":"86","author":"R J Carroll","year":"1999","unstructured":"Carroll R J, Maca J D, and Ruppert D, Nonparametric regression in the presence of measurement error, Biometrika, 1999, 86: 541\u2013554.","journal-title":"Biometrika"},{"key":"8045_CR14","doi-asserted-by":"publisher","first-page":"310","DOI":"10.1080\/01621459.1986.10478274","volume":"81","author":"R F Engle","year":"1986","unstructured":"Engle R F, Granger C W J, Rice J, et al., Semiparametric estimates of the relation between weather and electricity sales, Journal of the American Statistical Association, 1986, 81: 310\u2013320.","journal-title":"Journal of the American Statistical Association"},{"key":"8045_CR15","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1006\/jmva.1997.1712","volume":"64","author":"H J Cui","year":"1998","unstructured":"Cui H J and Li R C, On parameter estimation for semi-linear errors-in-variables models, Journal of Multivariate Analysis, 1998, 64: 1\u201324.","journal-title":"Journal of Multivariate Analysis"},{"key":"8045_CR16","first-page":"129","volume":"10","author":"X M He","year":"2000","unstructured":"He X M and Liang H, Quantile regression estimates for a class of linear and partially linear errors-in-variables, Statistica Sinica, 2000, 10: 129\u2013140.","journal-title":"Statistica Sinica"},{"key":"8045_CR17","doi-asserted-by":"publisher","first-page":"1519","DOI":"10.1214\/aos\/1017939140","volume":"27","author":"H Liang","year":"1999","unstructured":"Liang H, Hardle W, and Carroll R J, Estimation in a semiparametric partially linear errors-in-variables model, The Annals of Statistics, 1999, 27: 1519\u20131535.","journal-title":"The Annals of Statistics"},{"key":"8045_CR18","doi-asserted-by":"publisher","first-page":"51","DOI":"10.1016\/S0378-3758(99)00093-2","volume":"86","author":"H Liang","year":"2000","unstructured":"Liang H, Asymptotic normality of parametric part in partially linear model with measurement error in the non-parametric part, Journal of Statistical Planning and Inference, 2000, 86: 51\u201362.","journal-title":"Journal of Statistical Planning and Inference"},{"key":"8045_CR19","doi-asserted-by":"publisher","first-page":"429","DOI":"10.1111\/1467-9469.00340","volume":"30","author":"L X Zhu","year":"2003","unstructured":"Zhu L X and Cui H J, A semi-parametric regression model with errors in variables, Scandinavian Journal of Statistics, 2003, 30: 429\u2013442.","journal-title":"Scandinavian Journal of Statistics"},{"key":"8045_CR20","first-page":"99","volume":"15","author":"H Liang","year":"2005","unstructured":"Liang H and Wang N, Partially linear single-index measurement error models, Statistica Sinica, 2005, 15: 99\u2013116.","journal-title":"Statistica Sinica"},{"key":"8045_CR21","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1007\/s10182-018-0327-6","volume":"103","author":"Y P Yang","year":"2019","unstructured":"Yang Y P, Tong T J, and Li G R, SIMEX estimation for single-index model with covariate measurement error, Advances in Statistical Analysis, 2019, 103: 137\u2013161.","journal-title":"Advances in Statistical Analysis"},{"issue":"4","key":"8045_CR22","first-page":"2353","volume":"28","author":"E R Lee","year":"2018","unstructured":"Lee E R, Han K, and Park B U, Estimation of errors-in-variables partially linear additive models, Statistica Sinica, 2018, 28(4): 2353\u20132373.","journal-title":"Statistica Sinica"},{"key":"8045_CR23","doi-asserted-by":"publisher","DOI":"10.1002\/9780470316665","volume-title":"Measurement Error Models","author":"W A Fuller","year":"1987","unstructured":"Fuller W A, Measurement Error Models, Wiley, New York, 1987."},{"key":"8045_CR24","doi-asserted-by":"publisher","DOI":"10.15651\/9788874887637","volume-title":"Contributions in Infinite-Dimensional Statistics and Related Topics","author":"E G Bongiorno","year":"2014","unstructured":"Bongiorno E G, Goia A, Salinelli E, et al., Contributions in Infinite-Dimensional Statistics and Related Topics, Societa Editrice Esculapio, Bologna, 2014."},{"key":"8045_CR25","volume-title":"Nonparametric Functional Data Analysis Theory and Practice","author":"F Ferraty","year":"2006","unstructured":"Ferraty F and Vieu P, Nonparametric Functional Data Analysis Theory and Practice, Springer, New York, 2006."},{"key":"8045_CR26","doi-asserted-by":"publisher","DOI":"10.1007\/b98888","volume-title":"Functional Data Analysis","author":"J O Ramsay","year":"2005","unstructured":"Ramsay J O and Silverman B W, Functional Data Analysis, Springer, New York, 2005."},{"key":"8045_CR27","doi-asserted-by":"publisher","first-page":"1102","DOI":"10.1016\/j.spl.2005.12.007","volume":"76","author":"G Aneiros-Perez","year":"2006","unstructured":"Aneiros-Perez G and Vieu P, Semi-functional partial linear regression, Statistics and Probability Letters, 2006, 76: 1102\u20131110.","journal-title":"Statistics and Probability Letters"},{"key":"8045_CR28","doi-asserted-by":"publisher","first-page":"1322","DOI":"10.1080\/02331888.2014.998675","volume":"49","author":"G Aneiros-Perez","year":"2015","unstructured":"Aneiros-Perez G, Ferraty F, and Vieu P, Variable selection in partial linear regression with functional covariate, Statistics, 2015, 49: 1322\u20131347.","journal-title":"Statistics"},{"key":"8045_CR29","first-page":"59","volume":"27","author":"G Aneiros-Perez","year":"2015","unstructured":"Aneiros-Perez G, Ling N X, and Vieu P, Error variance estimation in semi-functional partially linear regression models, Journal of Nonparametric Statistics, 2015, 27: 59\u201384.","journal-title":"Journal of Nonparametric Statistics"},{"key":"8045_CR30","doi-asserted-by":"publisher","first-page":"751","DOI":"10.1007\/s00362-009-0280-2","volume":"52","author":"G Aneiros-Perez","year":"2011","unstructured":"Aneiros-Perez G and Vieu P, Automatic estimation procedure in partial linear model with functional data, Statistical Papers, 2011, 52: 751\u2013771.","journal-title":"Statistical Papers"},{"key":"8045_CR31","doi-asserted-by":"publisher","first-page":"829","DOI":"10.1007\/s00180-013-0463-0","volume":"29","author":"H L Shang","year":"2014","unstructured":"Shang H L, Bayesian bandwidth estimation for a semi-functional partial linear regression model with unknown error density, Computational Statistics, 2014, 29: 829\u2013848.","journal-title":"Computational Statistics"},{"key":"8045_CR32","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1080\/10485252.2010.500385","volume":"23","author":"H Lian","year":"2011","unstructured":"Lian H, Functional partial linear model, Journal of Nonparametric Statistics, 2011, 23: 115\u2013128.","journal-title":"Journal of Nonparametric Statistics"},{"key":"8045_CR33","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-57700-0","volume-title":"Partially Linear Models","author":"W Hardle","year":"2000","unstructured":"Hardle W, Liang H, and Gao J T, Partially Linear Models, Springer, New York, 2000."},{"key":"8045_CR34","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1016\/j.jmva.2016.10.005","volume":"154","author":"G Boente","year":"2017","unstructured":"Boente G and Vahnovan A, Robust estimators in semi-functional partial linear regression models, Journal of Multivariate Analysis, 2017, 154: 59\u201384.","journal-title":"Journal of Multivariate Analysis"},{"key":"8045_CR35","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.spl.2015.01.028","volume":"100","author":"G Boente","year":"2015","unstructured":"Boente G and Vahnovan A, Strong convergence of robust equivariant nonparametric functional regression estimators, Statistics and Probability Letters, 2015, 100: 1\u201311.","journal-title":"Statistics and Probability Letters"},{"key":"8045_CR36","doi-asserted-by":"publisher","first-page":"2784","DOI":"10.1016\/j.jspi.2006.10.001","volume":"137","author":"M Rachdi","year":"2007","unstructured":"Rachdi M and Vieu P, Nonparametric regression for functional data: Automatic smoothing parameter selection, Journal of Statistical Planning and Inference, 2007, 137: 2784\u20132801.","journal-title":"Journal of Statistical Planning and Inference"},{"key":"8045_CR37","doi-asserted-by":"publisher","first-page":"545","DOI":"10.1007\/s001800200126","volume":"17","author":"F Ferraty","year":"2002","unstructured":"Ferraty F and Vieu P, The functional nonparametric model and application to spectrometric data, Computational Statistics, 2002, 17: 545\u2013564.","journal-title":"Computational Statistics"},{"key":"8045_CR38","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1080\/10485250310001622686","volume":"16","author":"F Ferraty","year":"2004","unstructured":"Ferraty F and Vieu P, Nonparametric models for functional data, with application in regression, time-series prediction and curve discrimination, Journal of Nonparametric Statistics, 2004, 16: 111\u2013125.","journal-title":"Journal of Nonparametric Statistics"}],"container-title":["Journal of Systems Science and Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-019-8045-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11424-019-8045-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-019-8045-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,12,25]],"date-time":"2020-12-25T00:19:43Z","timestamp":1608855583000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11424-019-8045-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,12,26]]},"references-count":38,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2020,8]]}},"alternative-id":["8045"],"URL":"https:\/\/doi.org\/10.1007\/s11424-019-8045-z","relation":{},"ISSN":["1009-6124","1559-7067"],"issn-type":[{"value":"1009-6124","type":"print"},{"value":"1559-7067","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,12,26]]},"assertion":[{"value":"18 February 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 June 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 December 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}