{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,5]],"date-time":"2026-04-05T00:51:28Z","timestamp":1775350288782,"version":"3.50.1"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2023,2,4]],"date-time":"2023-02-04T00:00:00Z","timestamp":1675468800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,2,4]],"date-time":"2023-02-04T00:00:00Z","timestamp":1675468800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/100012950","name":"Institut national de recherche en informatique et en automatique","doi-asserted-by":"publisher","award":["Cl\u00e9ment Duhamel"],"award-info":[{"award-number":["Cl\u00e9ment Duhamel"]}],"id":[{"id":"10.13039\/100012950","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100006687","name":"Universit\u00e9 Claude Bernard Lyon 1","doi-asserted-by":"publisher","award":["Cl\u00e9ment Duhamel"],"award-info":[{"award-number":["Cl\u00e9ment Duhamel"]}],"id":[{"id":"10.13039\/501100006687","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003853","name":"IFP Energies Nouvelles","doi-asserted-by":"publisher","award":["C\u00e9line Helbert"],"award-info":[{"award-number":["C\u00e9line Helbert"]}],"id":[{"id":"10.13039\/501100003853","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100012952","name":"Universit\u00e9 Grenoble Alpes","doi-asserted-by":"publisher","award":["Miguel Munoz Zuniga"],"award-info":[{"award-number":["Miguel Munoz Zuniga"]}],"id":[{"id":"10.13039\/100012952","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100012952","name":"Universit\u00e9 Grenoble Alpes","doi-asserted-by":"publisher","award":["Delphine Sinoquet"],"award-info":[{"award-number":["Delphine Sinoquet"]}],"id":[{"id":"10.13039\/100012952","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Stat Comput"],"published-print":{"date-parts":[[2023,4]]},"DOI":"10.1007\/s11222-023-10208-4","type":"journal-article","created":{"date-parts":[[2023,2,4]],"date-time":"2023-02-04T03:23:15Z","timestamp":1675480995000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["A SUR version of the Bichon criterion for excursion set estimation"],"prefix":"10.1007","volume":"33","author":[{"given":"Cl\u00e9ment","family":"Duhamel","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"C\u00e9line","family":"Helbert","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Miguel","family":"Munoz Zuniga","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cl\u00e9mentine","family":"Prieur","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Delphine","family":"Sinoquet","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,2,4]]},"reference":[{"issue":"3","key":"10208_CR1","doi-asserted-by":"publisher","first-page":"773","DOI":"10.1007\/s11222-011-9241-4","volume":"22","author":"J Bect","year":"2012","unstructured":"Bect, J., Ginsbourger, D., Li, L., Picheny, V., Vazquez, E.: Sequential design of computer experiments for the estimation of a probability of failure. Stat. Comput. 22(3), 773\u2013793 (2012)","journal-title":"Stat. Comput."},{"issue":"10","key":"10208_CR2","doi-asserted-by":"publisher","first-page":"2459","DOI":"10.2514\/1.34321","volume":"46","author":"BJ Bichon","year":"2008","unstructured":"Bichon, B.J., Eldred, M.S., Swiler, L.P., Mahadevan, S., McFarland, J.M.: Efficient global reliability analysis for nonlinear implicit performance functions. AIAA J. 46(10), 2459\u20132468 (2008)","journal-title":"AIAA J."},{"key":"10208_CR3","unstructured":"Chevalier, C.: Fast Uncertainty Reduction Strategies Relying on Gaussian Process Models. PhD Thesis, Universit\u00e4t Bern (2013)"},{"key":"10208_CR4","doi-asserted-by":"publisher","first-page":"1021","DOI":"10.1016\/j.csda.2013.03.008","volume":"71","author":"C Chevalier","year":"2014","unstructured":"Chevalier, C., Picheny, V., Ginsbourger, D.: Kriginv: an efficient and user-friendly implementation of batch-sequential inversion strategies based on kriging. Comput. Stat. Data Anal. 71, 1021\u20131034 (2014)","journal-title":"Comput. Stat. Data Anal."},{"key":"10208_CR5","unstructured":"Dagnelie, P.: Statistique th\u00e9orique et appliqu\u00e9e. Presses agronomiques de Gembloux Belgium (1992)"},{"issue":"11","key":"10208_CR6","doi-asserted-by":"publisher","first-page":"1","DOI":"10.18637\/jss.v065.i11","volume":"65","author":"D Dupuy","year":"2015","unstructured":"Dupuy, D., Helbert, C., Franco, J.: DiceDesign and DiceEval: two R packages for design and analysis of computer experiments. J. Stat. Softw. 65(11), 1 (2015)","journal-title":"J. Stat. Softw."},{"key":"10208_CR7","first-page":"1","volume":"67","author":"C Dutang","year":"2013","unstructured":"Dutang, C., Savicky, P.: randtoolbox: generating and testing random numbers. R Package 67, 1 (2013)","journal-title":"R Package"},{"issue":"2","key":"10208_CR8","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1016\/j.strusafe.2011.01.002","volume":"33","author":"B Echard","year":"2011","unstructured":"Echard, B., Gayton, N., Lemaire, M.: AK-MCS: an active learning reliability method combining kriging and Monte Carlo simulation. Struct. Saf. 33(2), 145\u2013154 (2011)","journal-title":"Struct. Saf."},{"key":"10208_CR9","unstructured":"El\u00a0Amri, M.\u00a0R.: Analyse d\u2019incertitudes et de robustesse pour les mod\u00e8les \u00e0 entr\u00e9es et sorties fonctionnelles. Theses, Universit\u00e9 Grenoble Alpes (2019). https:\/\/tel.archives-ouvertes.fr\/tel-02433324"},{"key":"10208_CR10","doi-asserted-by":"crossref","unstructured":"El Amri, M.R., Helbert, C., Lepreux, O., Zuniga, M.M., Prieur, C., Sinoquet, D.: Data-driven stochastic inversion via functional quantization. Stat. Comput. 30(3), 525\u2013541 (2020)","DOI":"10.1007\/s11222-019-09888-8"},{"key":"10208_CR11","first-page":"1","volume":"99","author":"D Ginsbourger","year":"2017","unstructured":"Ginsbourger, D.: Sequential design of computer experiments. Wiley StatsRef 99, 1\u201311 (2017)","journal-title":"Wiley StatsRef"},{"issue":"2","key":"10208_CR12","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1002\/asmb.743","volume":"25","author":"C Helbert","year":"2009","unstructured":"Helbert, C., Dupuy, D., Carraro, L.: Assessment of uncertainty in computer experiments from universal to Bayesian kriging. Appl. Stoch. Model. Bus. Ind. 25(2), 99\u2013113 (2009)","journal-title":"Appl. Stoch. Model. Bus. Ind."},{"key":"10208_CR13","doi-asserted-by":"crossref","unstructured":"Jin, R., Chen, W., Sudjianto, A.: On sequential sampling for global metamodeling in engineering design. In: International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, vol. 36223, pp. 539\u2013548 (2002)","DOI":"10.1115\/DETC2002\/DAC-34092"},{"issue":"4","key":"10208_CR14","doi-asserted-by":"publisher","first-page":"455","DOI":"10.1023\/A:1008306431147","volume":"13","author":"DR Jones","year":"1998","unstructured":"Jones, D.R., Schonlau, M., Welch, W.J.: Efficient global optimization of expensive black-box functions. J. Global Optim. 13(4), 455\u2013492 (1998)","journal-title":"J. Global Optim."},{"key":"10208_CR15","doi-asserted-by":"crossref","unstructured":"Lemieux, C.: Quasi\u2013Monte Carlo constructions. In: Monte Carlo and Quasi-Monte Carlo sampling, Springer, pp. 1\u201361 (2009)","DOI":"10.1007\/978-0-387-78165-5_5"},{"issue":"1","key":"10208_CR16","first-page":"1","volume":"42","author":"WR Mebane Jr","year":"2011","unstructured":"Mebane, W.R., Jr., Sekhon, J.S.: Genetic optimization using derivatives: the rgenoud package for R. J. Stat. Softw. 42(1), 1\u201326 (2011)","journal-title":"J. Stat. Softw."},{"key":"10208_CR17","unstructured":"Molchanov, I.\u00a0S.: Theory of Random Sets, vol.\u00a087, Springer (2005)"},{"key":"10208_CR18","unstructured":"Moustapha, M., Marelli, S., Sudret, B.: A generalized framework for active learning reliability: survey and benchmark. arXiv preprint arXiv:2106.01713 (2021)"},{"issue":"1","key":"10208_CR19","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1111\/j.2517-6161.1978.tb01643.x","volume":"40","author":"A O\u2019Hagan","year":"1978","unstructured":"O\u2019Hagan, A.: Curve fitting and optimal design for prediction. J. R. Stat. Soc. Ser. B (Methodol.) 40(1), 1\u201324 (1978)","journal-title":"J. R. Stat. Soc. Ser. B (Methodol.)"},{"key":"10208_CR20","unstructured":"Paciorek, C.\u00a0J.: Nonstationary Gaussian Processes for Regression and Spatial Modelling. Ph.D Thesis, Carnegie Mellon University (2003)"},{"key":"10208_CR21","doi-asserted-by":"crossref","unstructured":"Picheny, V., Ginsbourger, D., Roustant, O., Haftka, R.\u00a0T., Kim, N.-H.: Adaptive designs of experiments for accurate approximation of a target region (2010)","DOI":"10.1115\/1.4001873"},{"issue":"3","key":"10208_CR22","doi-asserted-by":"publisher","first-page":"607","DOI":"10.1007\/s00158-013-0919-4","volume":"48","author":"V Picheny","year":"2013","unstructured":"Picheny, V., Wagner, T., Ginsbourger, D.: A benchmark of kriging-based infill criteria for noisy optimization. Struct. Multidiscip. Optim. 48(3), 607\u2013626 (2013)","journal-title":"Struct. Multidiscip. Optim."},{"key":"10208_CR23","doi-asserted-by":"crossref","unstructured":"Ranjan, P., Bingham, D., Michailidis, G.: Sequential experiment design for contour estimation from complex computer codes. Technometrics 50(4), 527\u2013541 (2008)","DOI":"10.1198\/004017008000000541"},{"key":"10208_CR24","doi-asserted-by":"crossref","unstructured":"Roustant, O., Ginsbourger, D., Deville, Y.: Dicekriging, Diceoptim: two R packages for the analysis of computer experiments by kriging-based metamodeling and optimization (2012)","DOI":"10.18637\/jss.v051.i01"}],"container-title":["Statistics and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11222-023-10208-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11222-023-10208-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11222-023-10208-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,13]],"date-time":"2024-10-13T12:24:57Z","timestamp":1728822297000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11222-023-10208-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,2,4]]},"references-count":24,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2023,4]]}},"alternative-id":["10208"],"URL":"https:\/\/doi.org\/10.1007\/s11222-023-10208-4","relation":{"has-preprint":[{"id-type":"doi","id":"10.21203\/rs.3.rs-2081387\/v1","asserted-by":"object"}]},"ISSN":["0960-3174","1573-1375"],"issn-type":[{"value":"0960-3174","type":"print"},{"value":"1573-1375","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,2,4]]},"assertion":[{"value":"19 September 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 January 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 February 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"41"}}