{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,5,19]],"date-time":"2024-05-19T06:40:11Z","timestamp":1716100811365},"reference-count":46,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[2013,11,5]],"date-time":"2013-11-05T00:00:00Z","timestamp":1383609600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput Stat"],"published-print":{"date-parts":[[2014,6]]},"DOI":"10.1007\/s00180-013-0459-9","type":"journal-article","created":{"date-parts":[[2013,11,4]],"date-time":"2013-11-04T08:55:30Z","timestamp":1383555330000},"page":"743-767","source":"Crossref","is-referenced-by-count":2,"title":["On the implementation of LIR: the case of simple linear regression with interval data"],"prefix":"10.1007","volume":"29","author":[{"given":"Marco E.\u00a0G.\u00a0V.","family":"Cattaneo","sequence":"first","affiliation":[]},{"given":"Andrea","family":"Wiencierz","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,11,5]]},"reference":[{"key":"459_CR1","volume-title":"Convex polyhedra","author":"AD Alexandrov","year":"2005","unstructured":"Alexandrov AD (2005) Convex polyhedra. Springer, Berlin"},{"key":"459_CR2","doi-asserted-by":"crossref","first-page":"158","DOI":"10.1080\/01621459.1976.10481507","volume":"71","author":"AE Beaton","year":"1976","unstructured":"Beaton AE, Rubin DB, Barone JL (1976) The acceptability of regression solutions: another look at computational accuracy. J Am Stat Assoc 71:158\u2013168","journal-title":"J Am Stat Assoc"},{"key":"459_CR3","doi-asserted-by":"crossref","first-page":"697","DOI":"10.1007\/11424758_72","volume-title":"Computational science and its applications\u2014ICCSA 2005","author":"T Bernholt","year":"2005","unstructured":"Bernholt T (2005) Computing the least median of squares estimator in time $$O(n^{d})$$ O ( n d ) . In: Gervasi O, Gavrilova ML, Kumar V, Lagan\u00e0 A, Lee HP, Mun Y, Taniar D, Tan CJK (eds) Computational science and its applications\u2014ICCSA 2005. Springer, Berlin, pp 697\u2013706"},{"key":"459_CR4","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1093\/biomet\/66.3.429","volume":"66","author":"J Buckley","year":"1979","unstructured":"Buckley J, James I (1979) Linear regression with censored data. Biometrika 66:429\u2013436","journal-title":"Biometrika"},{"key":"459_CR5","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1016\/0167-9473(94)00059-R","volume":"20","author":"E Carrizosa","year":"1995","unstructured":"Carrizosa E, Plastria F (1995) The determination of a \u201cleast quantile of squares regression line\u201d for all quantiles. Comput Stat Data Anal 20:467\u2013479","journal-title":"Comput Stat Data Anal"},{"key":"459_CR6","unstructured":"Cattaneo M (2007) Statistical decisions based directly on the likelihood function, PhD thesis, ETH Zurich. doi: 10.3929\/ethz-a-005463829"},{"key":"459_CR7","unstructured":"Cattaneo M, Wiencierz A (2011) Robust regression with imprecise data. Technical Report 114, Department of Statistics, LMU Munich"},{"key":"459_CR8","doi-asserted-by":"crossref","first-page":"1137","DOI":"10.1016\/j.ijar.2012.06.010","volume":"53","author":"M Cattaneo","year":"2012","unstructured":"Cattaneo M, Wiencierz A (2012) Likelihood-based imprecise regression. Int J Approx Reason 53:1137\u20131154","journal-title":"Int J Approx Reason"},{"key":"459_CR9","doi-asserted-by":"crossref","unstructured":"Chen SX, Van Keilegom I (2009) A review on empirical likelihood methods for regression. Test 18:415\u2013447","DOI":"10.1007\/s11749-009-0159-5"},{"key":"459_CR10","volume-title":"Introduction to approximation theory","author":"E Cheney","year":"1982","unstructured":"Cheney E (1982) Introduction to approximation theory, 2nd edn. AMS Chelsea Publishing, Providence","edition":"2"},{"key":"459_CR11","doi-asserted-by":"crossref","first-page":"C118","DOI":"10.1111\/j.0013-0133.2005.00983.x","volume":"115","author":"A Clark","year":"2005","unstructured":"Clark A, Etil\u00e9 F, Postel-Vinay F, Senik C, Van der Straeten K (2005) Heterogeneity in reported well-being: evidence from twelve European countries. Econ J 115:C118\u2013C132","journal-title":"Econ J"},{"key":"459_CR12","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1257\/jel.46.1.95","volume":"46","author":"A Clark","year":"2008","unstructured":"Clark A, Frijters P, Shields MA (2008) Relative income, happiness, and utility: an explanation for the Easterlin paradox and other puzzles. J Econ Lit 46:95\u2013144","journal-title":"J Econ Lit"},{"key":"459_CR13","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1257\/jep.22.2.53","volume":"22","author":"A Deaton","year":"2008","unstructured":"Deaton A (2008) Income, health, and well-being around the world: evidence from the Gallup World Poll. J Econ Perspect 22:53\u201372","journal-title":"J Econ Perspect"},{"key":"459_CR14","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1093\/oep\/gpr051","volume":"64","author":"A Deaton","year":"2012","unstructured":"Deaton A (2012) The financial crisis and the well-being of Americans. Oxf Econ Pap 64:1\u201326","journal-title":"Oxf Econ Pap"},{"key":"459_CR15","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1111\/j.2517-6161.1983.tb01230.x","volume":"45","author":"AP Dempster","year":"1983","unstructured":"Dempster AP, Rubin DB (1983) Rounding error in regression: the appropriateness of Sheppard\u2019s corrections. J R Stat Soc Ser B 45:51\u201359","journal-title":"J R Stat Soc Ser B"},{"key":"459_CR16","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1023\/A:1014411319119","volume":"57","author":"E Diener","year":"2002","unstructured":"Diener E, Biswas-Diener R (2002) Will money increase subjective well-being? Soc Indic Res 57:119\u2013169","journal-title":"Soc Indic Res"},{"key":"459_CR17","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1080\/01621459.1990.10475313","volume":"85","author":"H Edelsbrunner","year":"1990","unstructured":"Edelsbrunner H, Souvaine DL (1990) Computing least median of squares regression lines and guided topological sweep. J Am Stat Assoc 85:115\u2013119","journal-title":"J Am Stat Assoc"},{"key":"459_CR18","doi-asserted-by":"crossref","unstructured":"Ferson S, Kreinovich V, Hajagos J, Oberkampf W, Ginzburg L (2007) Experimental uncertainty estimation and statistics for data having interval uncertainty. Technical Report SAND2007-0939, Sandia National Laboratories","DOI":"10.2172\/910198"},{"key":"459_CR19","first-page":"75","volume":"17","author":"F Gioia","year":"2005","unstructured":"Gioia F, Lauro CN (2005) Basic statistical methods for interval data. Italian J Appl Stat 17:75\u2013104","journal-title":"Italian J Appl Stat"},{"key":"459_CR20","unstructured":"Hampel FR (1975) Beyond location parameters: robust concepts and methods. Bull Int Stat Inst 46:375\u2013382"},{"key":"459_CR21","volume-title":"Robust statistics: the approach based on influence functions","author":"FR Hampel","year":"1986","unstructured":"Hampel FR, Ronchetti EM, Rousseeuw PJ, Stahel WA (1986) Robust statistics: the approach based on influence functions. Wiley, New York"},{"key":"459_CR22","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1016\/0167-9473(93)90246-P","volume":"16","author":"DM Hawkins","year":"1993","unstructured":"Hawkins DM (1993) The feasible set algorithm for least median of squares regression. Comput Stat Data Anal 16:81\u2013101","journal-title":"Comput Stat Data Anal"},{"key":"459_CR23","doi-asserted-by":"crossref","first-page":"2244","DOI":"10.1214\/aos\/1176348396","volume":"19","author":"DF Heitjan","year":"1991","unstructured":"Heitjan DF, Rubin DB (1991) Ignorability and coarse data. Ann Stat 19:2244\u20132253","journal-title":"Ann Stat"},{"key":"459_CR24","doi-asserted-by":"crossref","DOI":"10.1002\/9780470434697","volume-title":"Robust Statistics","author":"PJ Huber","year":"2009","unstructured":"Huber PJ, Ronchetti EM (2009) Robust Statistics, 2nd edn. Wiley, New York","edition":"2"},{"key":"459_CR25","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1007\/s11205-008-9346-0","volume":"91","author":"FA Huppert","year":"2009","unstructured":"Huppert FA, Marks N, Clark A, Siegrist J, Stutzer A, Vitters\u00f8 J, Wahrendorf M (2009) Measuring well-being across Europe: description of the ESS well-being module and preliminary findings. Soc Indic Res 91:301\u2013315","journal-title":"Soc Indic Res"},{"key":"459_CR26","unstructured":"Knuth DE (1998) The art of computer programming, volume 3: sorting and searching, 2nd edn. Addison-Wesley, Boston"},{"key":"459_CR27","doi-asserted-by":"crossref","first-page":"1306","DOI":"10.1214\/aos\/1024691244","volume":"26","author":"G Li","year":"1998","unstructured":"Li G, Zhang CH (1998) Linear regression with interval censored data. Ann Stat 26:1306\u20131327","journal-title":"Ann Stat"},{"key":"459_CR28","doi-asserted-by":"crossref","first-page":"519","DOI":"10.1111\/1468-0262.00294","volume":"70","author":"CF Manski","year":"2002","unstructured":"Manski CF, Tamer E (2002) Inference on regressions with interval data on a regressor or outcome. Econometrica 70:519\u2013546","journal-title":"Econometrica"},{"key":"459_CR29","first-page":"277","volume":"14","author":"M Marino","year":"2002","unstructured":"Marino M, Palumbo F (2002) Interval arithmetic for the evaluation of imprecise data effects in least squares linear regression. Italalian J Appl Stat 14:277\u2013291","journal-title":"Italalian J Appl Stat"},{"key":"459_CR30","doi-asserted-by":"crossref","DOI":"10.1002\/0470010940","volume-title":"Robust statistics: theory and methods","author":"RA Maronna","year":"2006","unstructured":"Maronna RA, Martin DR, Yohai VJ (2006) Robust statistics: theory and methods. Wiley, New York"},{"key":"459_CR31","doi-asserted-by":"crossref","first-page":"2461","DOI":"10.1016\/j.csda.2006.08.033","volume":"51","author":"DM Mount","year":"2007","unstructured":"Mount DM, Netanyahu NS, Romanik K, Silverman R, Wu AY (2007) A practical approximation algorithm for the LMS line estimator. Comput Stat Data Anal 51:2461\u20132486","journal-title":"Comput Stat Data Anal"},{"key":"459_CR32","unstructured":"Norwegian Social Science Data Services (2010) ESS round 5: European Social Survey round 5 data. Data file edn. 3.0"},{"key":"459_CR33","doi-asserted-by":"crossref","DOI":"10.1201\/9781420036152","volume-title":"Empirical Likelihood","author":"AB Owen","year":"2001","unstructured":"Owen AB (2001) Empirical Likelihood. Chapman & Hall\/CRC, Boca Raton"},{"key":"459_CR34","first-page":"117","volume-title":"Multivariate statistics","author":"U P\u00f6tter","year":"2000","unstructured":"P\u00f6tter U (2000) A multivariate Buckley-James estimator. In: Kollo T, Tiit EM, Srivastava M (eds) Multivariate statistics. VSP, Utrecht, pp 117\u2013131"},{"key":"459_CR35","unstructured":"R Development Core Team (2012) R: a language and environment for statistical computing. R Foundation for Statistical Computing, used R version 2.15.2"},{"key":"459_CR36","doi-asserted-by":"crossref","first-page":"871","DOI":"10.1080\/01621459.1984.10477105","volume":"79","author":"PJ Rousseeuw","year":"1984","unstructured":"Rousseeuw PJ (1984) Least median of squares regression. J Am Stat Assoc 79:871\u2013880","journal-title":"J Am Stat Assoc"},{"key":"459_CR37","doi-asserted-by":"crossref","DOI":"10.1002\/0471725382","volume-title":"Robust regression and outlier detection","author":"PJ Rousseeuw","year":"1987","unstructured":"Rousseeuw PJ, Leroy AM (1987) Robust regression and outlier detection. Wiley, New York"},{"key":"459_CR38","doi-asserted-by":"crossref","first-page":"794","DOI":"10.1080\/01621459.1987.10478500","volume":"82","author":"DL Souvaine","year":"1987","unstructured":"Souvaine DL, Steele J (1987) Time- and space-efficient algorithms for least median of squares regression. J Am Stat Assoc 82:794\u2013801","journal-title":"J Am Stat Assoc"},{"key":"459_CR39","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/0166-218X(86)90009-0","volume":"14","author":"J Steele","year":"1986","unstructured":"Steele J, Steiger W (1986) Algorithms and complexity for least median of squares regression. Discrete Appl Math 14:93\u2013100","journal-title":"Discrete Appl Math"},{"key":"459_CR40","doi-asserted-by":"crossref","first-page":"1289","DOI":"10.1137\/0914076","volume":"14","author":"AJ Stromberg","year":"1993","unstructured":"Stromberg AJ (1993) Computing the exact least median of squares estimate and stability diagnostics in multiple linear regression. SIAM J Sci Comput 14:1289\u20131299","journal-title":"SIAM J Sci Comput"},{"key":"459_CR41","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1007\/978-3-642-57338-5_33","volume-title":"Developments in robust statistics","author":"D Tasche","year":"2003","unstructured":"Tasche D (2003) Unbiasedness in least quantile regression. In: Dutter R, Filzmoser P, Gather U, Rousseeuw PJ (eds) Developments in robust statistics. Springer, Berlin, pp 377\u2013386"},{"key":"459_CR42","first-page":"371","volume-title":"ISIPTA \u201911","author":"LV Utkin","year":"2011","unstructured":"Utkin LV, Coolen FPA (2011) Interval-valued regression and classification models in the framework of machine learning. In: Coolen F, de Cooman G, Fetz T, Oberguggenberger M (eds) ISIPTA \u201911. SIPTA, Manno, pp 371\u2013380"},{"key":"459_CR43","first-page":"953","volume":"16","author":"S Vansteelandt","year":"2006","unstructured":"Vansteelandt S, Goetghebeur E, Kenward MG, Molenberghs G (2006) Ignorance and uncertainty regions as inferential tools in a sensitivity analysis. Stat Sin 16:953\u2013979","journal-title":"Stat Sin"},{"key":"459_CR44","doi-asserted-by":"crossref","first-page":"1125","DOI":"10.1137\/S1064827595283768","volume":"19","author":"GA Watson","year":"1998","unstructured":"Watson GA (1998) On computing the least quantile of squares estimate. SIAM J Sci Comput 19:1125\u20131138","journal-title":"SIAM J Sci Comput"},{"key":"459_CR45","unstructured":"Wiencierz A (2013) linLIR: linear likelihood-based imprecise regression. R package version 1.1-1"},{"key":"459_CR46","first-page":"293","volume-title":"Synergies of soft computing and statistics for intelligent data analysis","author":"A Wiencierz","year":"2012","unstructured":"Wiencierz A, Cattaneo M (2012) An exact algorithm for likelihood-based imprecise regression in the case of simple linear regression with interval data. In: Kruse R, Berthold MR, Moewes C, Gil M\u00c1, Grzegorzewski P, Hryniewicz O (eds) Synergies of soft computing and statistics for intelligent data analysis. Springer, Berlin, pp 293\u2013301"}],"container-title":["Computational Statistics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-013-0459-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00180-013-0459-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-013-0459-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,19]],"date-time":"2024-05-19T06:13:11Z","timestamp":1716099191000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00180-013-0459-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,11,5]]},"references-count":46,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2014,6]]}},"alternative-id":["459"],"URL":"https:\/\/doi.org\/10.1007\/s00180-013-0459-9","relation":{},"ISSN":["0943-4062","1613-9658"],"issn-type":[{"value":"0943-4062","type":"print"},{"value":"1613-9658","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,11,5]]}}}