{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T10:42:28Z","timestamp":1761561748003},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2013,4,18]],"date-time":"2013-04-18T00:00:00Z","timestamp":1366243200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv Data Anal Classif"],"published-print":{"date-parts":[[2013,6]]},"DOI":"10.1007\/s11634-013-0131-9","type":"journal-article","created":{"date-parts":[[2013,4,17]],"date-time":"2013-04-17T15:02:42Z","timestamp":1366210962000},"page":"209-235","source":"Crossref","is-referenced-by-count":4,"title":["An isotonic trivariate statistical regression method"],"prefix":"10.1007","volume":"7","author":[{"given":"Simone","family":"Fiori","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,4,18]]},"reference":[{"key":"131_CR1","doi-asserted-by":"crossref","unstructured":"Ahuja S, Lakshminarayana A, Shukla SK (2012) Statistical regression based power models. In: Low power design with high-level power estimation and power-aware synthesis. Springer, New York, pp 59\u201370","DOI":"10.1007\/978-1-4614-0872-7_5"},{"issue":"4","key":"131_CR2","doi-asserted-by":"crossref","first-page":"1100","DOI":"10.1214\/aos\/1176345976","volume":"10","author":"PK Andersen","year":"1982","unstructured":"Andersen PK, Gill RD (1982) Cox\u2019s regression model for counting processes: a large sample study. Ann Stat 10(4):1100\u20131120","journal-title":"Ann Stat"},{"key":"131_CR3","volume-title":"Statistical inference under order restrictions","author":"RE Barlow","year":"1972","unstructured":"Barlow RE, Bartholomew DJ, Bremner JM, Brunk HD (1972) Statistical inference under order restrictions. Wiley, New York"},{"key":"131_CR4","doi-asserted-by":"crossref","unstructured":"Birke M, Dette H (2007) Testing strict monotonicity in nonparametric regression. Math Meth Stat 16:110\u2013123","DOI":"10.3103\/S1066530707020032"},{"issue":"10","key":"131_CR5","doi-asserted-by":"crossref","first-page":"3867","DOI":"10.1016\/j.fct.2012.07.010","volume":"50","author":"MJ Chen","year":"2012","unstructured":"Chen MJ, Hsu HT, Lin CL, Ju WY (2012) A statistical regression model for the estimation of acrylamide concentrations in French fries for excess lifetime cancer risk assessment. Food Chem Toxicol 50(10):3867\u20133876","journal-title":"Food Chem Toxicol"},{"issue":"3","key":"131_CR6","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1111\/j.1467-9469.2006.00493.x","volume":"33","author":"A Colubi","year":"2006","unstructured":"Colubi A, Dom\u00ednguez-Menchero JS, Gonz\u00e1lez-Rodr\u00edguez G (2006) Testing constancy for isotonic regressions. Scand J Stat 33(3):463\u2013475","journal-title":"Scand J Stat"},{"key":"131_CR7","first-page":"713","volume":"17","author":"A Colubi","year":"2007","unstructured":"Colubi A, Dom\u00ednguez-Menchero JS, Gonz\u00e1lez-Rodr\u00edguez G (2007) A test for constancy of isotonic regressions using the $$L_2$$ -Norm. Stat Sinica 17:713\u2013724","journal-title":"Stat Sinica"},{"key":"131_CR8","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1016\/j.dss.2009.05.016","volume":"47","author":"P Cortez","year":"2009","unstructured":"Cortez P, Cerdeira A, Almeida F, Matos T, Reis J (2009) Modeling wine preferences by data mining from physicochemical properties. Decis Support Syst 47:547\u2013553","journal-title":"Decis Support Syst"},{"issue":"1","key":"131_CR9","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1007\/s00184-006-0084-5","volume":"66","author":"JS Dom\u00ednguez-Menchero","year":"2007","unstructured":"Dom\u00ednguez-Menchero JS, Gonz\u00e1lez-Rodr\u00edguez G (2007) Analyzing an extension of the isotonic regression problem. Metrika 66(1):19\u201330","journal-title":"Metrika"},{"issue":"2","key":"131_CR10","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1080\/10485250410001722288","volume":"17","author":"JS Dom\u00ednguez-Menchero","year":"2005","unstructured":"Dom\u00ednguez-Menchero JS, Gonz\u00e1lez-Rodr\u00edguez G, L\u00f3pez-Palomo MJ (2005) An $$L_2$$ point of view in testing monotone regression. J Nonparametric Stat 17(2):135\u2013153","journal-title":"J Nonparametric Stat"},{"key":"131_CR11","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1016\/S0167-7152(03)00122-6","volume":"63","author":"C Durot","year":"2003","unstructured":"Durot C (2003) A Kolmogorov-type test for monotonicity of regression. Stat Probab Lett 63:425\u2013433","journal-title":"Stat Probab Lett"},{"key":"131_CR12","doi-asserted-by":"crossref","unstructured":"Fiori S (2011) Statistical nonparametric bivariate isotonic regression by look-up-table-based neural networks. In: Lu B-L, Zhang L, Kwok J (eds) Proceedings of the 2011 international conference on neural information processing (ICONIP 2011, Shanghai (China), Part III, LNCS 7064, Springer, Heidelberg, pp 365\u2013372","DOI":"10.1007\/978-3-642-24965-5_41"},{"key":"131_CR13","unstructured":"Fiori S (2012) Fast statistical regression in presence of a dominant independent variable, Neural Computing and Applications (Springer). (Special issue of the 2011 International Conference on Neural Information Processing\u2014ICONIP\u20192011). Accepted for publication (available online)"},{"issue":"4","key":"131_CR14","doi-asserted-by":"crossref","first-page":"045002","DOI":"10.1088\/1748-9326\/6\/4\/045002","volume":"6","author":"DR Forrest","year":"2011","unstructured":"Forrest DR, Hetland RD, DiMarco SF (2011) Multivariable statistical regression models of the areal extent of hypoxia over the Texas-Louisiana continental shelf. Environ Res Lett 6(4):045002","journal-title":"Environ Res Lett"},{"issue":"4","key":"131_CR15","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1007\/s12040-008-0045-7","volume":"117","author":"MA Kulkarni","year":"2008","unstructured":"Kulkarni MA, Patil S, Rama GV, Sen PN (2008) Wind speed prediction using statistical regression and neural network. J Earth Syst Sci 117(4):457\u2013463","journal-title":"J Earth Syst Sci"},{"key":"131_CR16","doi-asserted-by":"crossref","unstructured":"Li X, Liu HZ (2008) Statistical regression for efficient high-dimensional modeling of analog and mixed-signal performance variations. In: Proceedings of the 45th ACM\/IEEE design automation conference. DAC 2008, Anaheim Convention Center, California, pp 38\u201343","DOI":"10.1145\/1391469.1391482"},{"key":"131_CR17","unstructured":"Liu J, Li H (2010) Application research of a statistical regression algorithm in the IVR system. In: Proceedings of the 2010 international conference on educational and network technology. ICENT, Qinhuangdao (China), pp 358\u2013360"},{"key":"131_CR18","unstructured":"Liu S, Gao RX, He Q, Staudenmayer J, Freedson P (2009) Development of statistical regression models for ventilation estimation. In: Proceedings of the 31st annual international conference of the IEEE engineering in medicine and biology society. EMBC, Minneapolis (Minnesota, USA), pp 1266\u20131269"},{"key":"131_CR19","doi-asserted-by":"crossref","first-page":"2171","DOI":"10.1016\/j.biombioe.2011.02.031","volume":"35","author":"N Maheshwari","year":"2011","unstructured":"Maheshwari N, Balaji C, Ramesh A (2011) A nonlinear regression based multi-objective optimization of parameters based on experimental data from an IC engine fueled with biodiesel blends. Biomass Bioenergy 35:2171\u20132183","journal-title":"Biomass Bioenergy"},{"key":"131_CR20","doi-asserted-by":"crossref","unstructured":"Marstokk KM, M\u00f8llendal H, Samdal S (2000) Microwave spectrum, conformational equilibrium, $$^{14}{\\rm {N}}$$ quadrupole coupling constants, dipole moment, vibrational frequencies and quantum chemical calculations for acrylamide. J Mol Struct 524(13):69\u201385","DOI":"10.1016\/S0022-2860(99)00362-2"},{"issue":"3","key":"131_CR21","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1080\/10618600.1996.10474707","volume":"5","author":"S Qian","year":"1996","unstructured":"Qian S, Eddy WF (1996) An algorithm for isotonic regression on ordered rectangular grids. J Comput Graph Stat 5(3):225\u2013235","journal-title":"J Comput Graph Stat"},{"key":"131_CR22","volume-title":"Order restricted statistical inference","author":"T Robertson","year":"1988","unstructured":"Robertson T, Wright FT, Dykstra RL (1988) Order restricted statistical inference. Wiley, New York"},{"issue":"7","key":"131_CR23","doi-asserted-by":"crossref","first-page":"1850","DOI":"10.1016\/j.ces.2007.12.012","volume":"63","author":"R Roelant","year":"2008","unstructured":"Roelant R, Constales D, Van Keer R, Marin GB (2008) Second-order statistical regression and conditioning of replicate transient kinetic data. Chem Eng Sci 63(7):1850\u20131865","journal-title":"Chem Eng Sci"},{"key":"131_CR24","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1016\/S0169-7161(04)24009-3","volume":"24","author":"DW Scott","year":"2005","unstructured":"Scott DW, Sain SR (2005) Multi-dimensional density estimation. Handb Stat Data Min Data Vis 24:229\u2013261","journal-title":"Handb Stat Data Min Data Vis"},{"key":"131_CR25","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1016\/S0022-1694(99)00070-0","volume":"220","author":"T Thierfelder","year":"1999","unstructured":"Thierfelder T (1999) Empirical\/statistical modeling of water quality in dimictic glacial\/boreal lakes. J Hydrol 220:186\u2013208","journal-title":"J Hydrol"},{"key":"131_CR26","unstructured":"Velikova MV (2006) Monotone models for prediction in data mining. Ph.D Dissertation, Dutch graduate school for information and knowledge systems and graduate school of the faculty of economics and business administration of Tilburg University, Tilburg"},{"key":"131_CR27","unstructured":"White Vugrin K, Painton Swiler L, Roberts RM, Stucky-Mack NJ, Sullivan SP (2005) Confidence region estimation techniques for nonlinear regression: three case studies. Sandia report SAND2005-6893 (Unlimited Release), Sandia National Laboratories, Carlsbad"},{"key":"131_CR28","volume-title":"Statistical regression line-fitting in the oil and gas industry","author":"R Woodhouse","year":"2003","unstructured":"Woodhouse R (2003) Statistical regression line-fitting in the oil and gas industry. PennWell Books, Tulsa"},{"issue":"1","key":"131_CR29","doi-asserted-by":"crossref","first-page":"149","DOI":"10.15388\/Informatica.2010.279","volume":"21","author":"A \u017dilinskas","year":"2010","unstructured":"\u017dilinskas A, \u017dilinskas J (2010) Interval arithmetic based optimization in nonlinear regression. INFORMATICA 21(1):149\u2013158","journal-title":"INFORMATICA"},{"issue":"1","key":"131_CR30","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1007\/BF00600521","volume":"13","author":"DH Zou","year":"1995","unstructured":"Zou DH (1995) Statistical regression applied to borehole strain measurements data analysis. Geotech Geol Eng 13(1):17\u201327","journal-title":"Geotech Geol Eng"}],"container-title":["Advances in Data Analysis and Classification"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11634-013-0131-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11634-013-0131-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11634-013-0131-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,9]],"date-time":"2024-05-09T04:14:59Z","timestamp":1715228099000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11634-013-0131-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,4,18]]},"references-count":30,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2013,6]]}},"alternative-id":["131"],"URL":"https:\/\/doi.org\/10.1007\/s11634-013-0131-9","relation":{},"ISSN":["1862-5347","1862-5355"],"issn-type":[{"value":"1862-5347","type":"print"},{"value":"1862-5355","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,4,18]]}}}