{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T03:24:02Z","timestamp":1740108242624,"version":"3.37.3"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2020,1,9]],"date-time":"2020-01-09T00:00:00Z","timestamp":1578528000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,1,9]],"date-time":"2020-01-09T00:00:00Z","timestamp":1578528000000},"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":["Comput Stat"],"published-print":{"date-parts":[[2020,12]]},"DOI":"10.1007\/s00180-019-00949-0","type":"journal-article","created":{"date-parts":[[2020,1,9]],"date-time":"2020-01-09T17:03:06Z","timestamp":1578589386000},"page":"1951-1991","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Comparison among simultaneous confidence regions for nonlinear diffusion models"],"prefix":"10.1007","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7704-7953","authenticated-orcid":false,"given":"Claudia","family":"Furlan","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3849-0378","authenticated-orcid":false,"given":"Cinzia","family":"Mortarino","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,1,9]]},"reference":[{"key":"949_CR1","unstructured":"Adler D, Murdoch D (2018) rgl: 3D visualization using OpenGL. https:\/\/CRAN.R-project.org\/package=rgl, r package version 0.99.16. Accessed 16 Oct 2019"},{"issue":"5","key":"949_CR2","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1287\/mnsc.15.5.215","volume":"15","author":"FM Bass","year":"1969","unstructured":"Bass FM (1969) A new product growth for model consumer durables. Manag Sci 15(5):215\u2013227","journal-title":"Manag Sci"},{"issue":"3","key":"949_CR3","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1287\/mksc.13.3.203","volume":"13","author":"FM Bass","year":"1994","unstructured":"Bass FM, Krishnan TV, Jain DC (1994) Why the Bass model fits without decision variables. Mark Sci 13(3):203\u2013223","journal-title":"Mark Sci"},{"key":"949_CR4","doi-asserted-by":"publisher","DOI":"10.1002\/9780470316757","volume-title":"Nonlinear regression analysis and its applications","author":"D Bates","year":"1988","unstructured":"Bates D, Watts G (1988) Nonlinear regression analysis and its applications. Wiley, New York"},{"key":"949_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1111\/j.2517-6161.1980.tb01094.x","volume":"42","author":"DM Bates","year":"1980","unstructured":"Bates DM, Watts DG (1980) Relative curvature measures of nonlinearity. J R Stat Soc Ser B (Methodol) 42:1\u201325","journal-title":"J R Stat Soc Ser B (Methodol)"},{"key":"949_CR6","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1111\/j.2517-6161.1960.tb00353.x","volume":"22","author":"E Beale","year":"1960","unstructured":"Beale E (1960) Confidence regions in non-linear estimation. J R Stat Soc Ser B (Methodol) 22:41\u201388","journal-title":"J R Stat Soc Ser B (Methodol)"},{"issue":"3","key":"949_CR7","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1198\/073500104000000604","volume":"23","author":"HP Boswijk","year":"2005","unstructured":"Boswijk HP, Franses PH (2005) On the econometrics of the Bass diffusion model. J Bus Econ Stat 23(3):255\u2013268","journal-title":"J Bus Econ Stat"},{"issue":"3","key":"949_CR8","doi-asserted-by":"publisher","first-page":"636","DOI":"10.1111\/sjos.12269","volume":"44","author":"E Demidenko","year":"2017","unstructured":"Demidenko E (2017) Exact and approximate statistical inference for nonlinear regression and the estimating equation approach. Scand J Stat 44(3):636\u2013665","journal-title":"Scand J Stat"},{"key":"949_CR9","unstructured":"Furlan C, Mortarino C (2018) Comparison of exact and approximate simultaneous confidence regions in nonlinear regression models. In: Proceedings of the 49th scientific meeting of the Italian Statistical Society, Palermo. 20\u201322 June 2018"},{"key":"949_CR10","unstructured":"Genest M, Masse JC, Plante JF (2017) Depth: nonparametric depth functions for multivariate analysis. https:\/\/CRAN.R-project.org\/package=depth, r package version 2.1-1. Accessed 16 Oct 2019"},{"key":"949_CR11","unstructured":"Guseo R (1983) Confidence regions in non linear regression. In: Proceedings of the 44th session of International Statistical Institute, Madrid, pp 333\u2013336. 12\u201322 Sept 1983"},{"issue":"3","key":"949_CR12","doi-asserted-by":"publisher","first-page":"375","DOI":"10.1007\/s10260-005-0118-6","volume":"14","author":"R Guseo","year":"2005","unstructured":"Guseo R, Dalla Valle A (2005) Oil and gas depletion: diffusion models and forecasting under strategic intervention. Stat Methods Appl 14(3):375\u2013387","journal-title":"Stat Methods Appl"},{"issue":"2","key":"949_CR13","doi-asserted-by":"publisher","first-page":"386","DOI":"10.1214\/aos\/1176345780","volume":"10","author":"DC Hamilton","year":"1982","unstructured":"Hamilton DC, Watts DG, Bates DM (1982) Accounting for intrinsic nonlinearity in nonlinear regression parameter inference regions. Ann Stat 10(2):386\u2013393","journal-title":"Ann Stat"},{"issue":"3\/4","key":"949_CR14","doi-asserted-by":"publisher","first-page":"347","DOI":"10.2307\/2334140","volume":"51","author":"HO Hartley","year":"1964","unstructured":"Hartley HO (1964) Exact confidence regions for the parameters in non-linear regression laws. Biometrika 51(3\/4):347\u2013353","journal-title":"Biometrika"},{"issue":"3","key":"949_CR15","doi-asserted-by":"publisher","first-page":"329","DOI":"10.1016\/S0167-9473(01)00083-4","volume":"39","author":"A Lee","year":"2002","unstructured":"Lee A, Nyangoma S, Seber G (2002) Confidence regions for multinomial parameters. Comput Stat Data Anal 39(3):329\u2013342","journal-title":"Comput Stat Data Anal"},{"issue":"7","key":"949_CR16","doi-asserted-by":"publisher","first-page":"1261","DOI":"10.1016\/j.apradiso.2009.11.013","volume":"68","author":"K Lee","year":"2010","unstructured":"Lee K, Lee JM, Park TS, Lee SH (2010) Construction of classical confidence regions of model parameters in nonlinear regression analyses. Appl Radiat Isot 68(7):1261\u20131265","journal-title":"Appl Radiat Isot"},{"key":"949_CR17","unstructured":"Murdoch D, Chow ED (2018) Ellipse: functions for drawing ellipses and ellipse-like confidence regions. https:\/\/CRAN.R-project.org\/package=ellipse, r package version 0.4.1. Accessed 16 Oct 2019"},{"key":"949_CR18","unstructured":"R Core Team (2018) R: a language and environment for statistical computing. R Foundation for statistical computing, Vienna, Austria. https:\/\/www.R-project.org\/. Accessed 16 Oct 2019"},{"issue":"3","key":"949_CR19","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1023\/A:1008945009397","volume":"8","author":"PJ Rousseeuw","year":"1998","unstructured":"Rousseeuw PJ, Struyf A (1998) Computing location depth and regression depth in higher dimensions. Stat Comput 8(3):193\u2013203","journal-title":"Stat Comput"},{"key":"949_CR20","doi-asserted-by":"publisher","DOI":"10.1002\/0471725315","volume-title":"Nonlinear regression","author":"G Seber","year":"1989","unstructured":"Seber G, Wild C (1989) Nonlinear regression. Wiley, New York"},{"key":"949_CR21","unstructured":"Tukey JW (1975) Mathematics and picturing data. In: Proceedings of the 1975 international congress of mathematics vol 2, pp 523\u2013531"},{"issue":"12","key":"949_CR22","doi-asserted-by":"publisher","first-page":"4366","DOI":"10.1016\/j.csda.2012.03.019","volume":"56","author":"CS Withers","year":"2012","unstructured":"Withers CS, Nadarajah S (2012) Improved confidence regions based on Edgeworth expansions. Comput Stat Data Anal 56(12):4366\u20134380","journal-title":"Comput Stat Data Anal"},{"issue":"2","key":"949_CR23","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1214\/aos\/1016218226","volume":"28","author":"Y Zuo","year":"2000","unstructured":"Zuo Y, Serfling R (2000) General notions of statistical depth function. Ann Stat 28(2):461\u2013482","journal-title":"Ann Stat"}],"container-title":["Computational Statistics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-019-00949-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00180-019-00949-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-019-00949-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,29]],"date-time":"2024-07-29T22:49:16Z","timestamp":1722293356000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00180-019-00949-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,1,9]]},"references-count":23,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2020,12]]}},"alternative-id":["949"],"URL":"https:\/\/doi.org\/10.1007\/s00180-019-00949-0","relation":{},"ISSN":["0943-4062","1613-9658"],"issn-type":[{"type":"print","value":"0943-4062"},{"type":"electronic","value":"1613-9658"}],"subject":[],"published":{"date-parts":[[2020,1,9]]},"assertion":[{"value":"7 December 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 December 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 January 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}