{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,7]],"date-time":"2026-03-07T23:55:49Z","timestamp":1772927749478,"version":"3.50.1"},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2000,7,1]],"date-time":"2000-07-01T00:00:00Z","timestamp":962409600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2000,7,1]],"date-time":"2000-07-01T00:00:00Z","timestamp":962409600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Statistics and Computing"],"published-print":{"date-parts":[[2000,7]]},"DOI":"10.1023\/a:1008950625967","type":"journal-article","created":{"date-parts":[[2002,12,22]],"date-time":"2002-12-22T12:46:35Z","timestamp":1040561195000},"page":"187-196","source":"Crossref","is-referenced-by-count":55,"title":["Winding Stairs: A sampling tool to compute sensitivity indices"],"prefix":"10.1007","volume":"10","author":[{"given":"Karen","family":"Chan","sequence":"first","affiliation":[]},{"given":"Andrea","family":"Saltelli","sequence":"additional","affiliation":[]},{"given":"Stefano","family":"Tarantola","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"265198_CR1","volume-title":"Handbook of Mathematical Functions","author":"M. Abramowitz","year":"1970","unstructured":"Abramowitz M. and Stegun I.A. 1970. Handbook of Mathematical Functions. New York, Dover Publications."},{"key":"265198_CR2","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1080\/00949659708811825","volume":"58","author":"G. Archer","year":"1997","unstructured":"Archer G., Saltelli A., and Sobol' I.M. 1997. Sensitivity measures, ANOVA like techniques and the use of bootstrap. Journal of Statistical Computation and Simulation 58: 99\u2013120.","journal-title":"Journal of Statistical Computation and Simulation"},{"key":"265198_CR3","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1145\/42288.214372","volume":"14","author":"P. Bratley","year":"1988","unstructured":"Bratley P. and Fox B.L. 1988. Algorithm 659 implementing Sobol' quasirandom sequence generator. ACM Transactions on Mathematical Sofware 14: 88\u2013100.","journal-title":"ACM Transactions on Mathematical Sofware"},{"key":"265198_CR4","volume-title":"Mathematical and Statistical Methods for Sensitivity Analysis","author":"K. Chan","year":"2000","unstructured":"Chan K., Saltelli A., Tarantola S., and Sobol' I.M. 2000.Variance based methods. In: Saltelli A., Chan K., and Scott E.M. (Eds.), Mathematical and Statistical Methods for Sensitivity Analysis. London, John Wiley & Sons, Forthcoming."},{"key":"265198_CR5","doi-asserted-by":"crossref","first-page":"1164","DOI":"10.1080\/18811248.1995.9731832","volume":"32","author":"T. Homma","year":"1995","unstructured":"Homma T. and Saltelli A. 1995. Sensitivity analysis of model output. Performance of the Sobol' quasi-random sequence generator for the integration of the modified Hora and Iman importance measure. Journal Nuclear Science and Technology 32: 1164\u20131173.","journal-title":"Journal Nuclear Science and Technology"},{"key":"265198_CR6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0951-8320(96)00002-6","volume":"52","author":"T. Homma","year":"1996","unstructured":"Homma T. and Saltelli A. 1996. Importance measures in global sensitivity analysis of nonlinear models. Reliability Engineering and System Safety 52: 1\u201317.","journal-title":"Reliability Engineering and System Safety"},{"key":"265198_CR7","unstructured":"Jansen M.J.W. 1996. Winding stairs sample analysis program WINDINGS 2.0. Technical Report, Private communication."},{"key":"265198_CR8","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/S0010-4655(98)00154-4","volume":"117","author":"M.J.W. Jansen","year":"1999","unstructured":"Jansen M.J.W. 1999. Analysis of variance designs for model output. Computer Physics Communications 117: 35\u201343.","journal-title":"Computer Physics Communications"},{"key":"265198_CR9","doi-asserted-by":"crossref","unstructured":"Jansen M.J.W., Rossing W.A.H., and Daamen R.A. 1994. Monte Carlo estimation of uncertainty contributions from several independent multivariate sources. In: Gasman J. and van Straten G. (Eds.), Predictability and Nonlinear Modelling in Natural Sciences and Economics, Kluwer Academic Publishers, pp. 334\u2013343.","DOI":"10.1007\/978-94-011-0962-8_28"},{"key":"265198_CR10","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1016\/S0951-8320(97)00039-2","volume":"57","author":"M.D. McKay","year":"1997","unstructured":"McKay M.D. 1997. Non-parametric variance-based methods for assessing uncertainty importance. Reliability Engineering and System Safety 57: 267\u2013279.","journal-title":"Reliability Engineering and System Safety"},{"key":"265198_CR11","first-page":"239","volume":"21","author":"M.D. McKay","year":"1979","unstructured":"McKay M.D., Beckman R.J., and Conover W.J. 1979. A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21: 239\u2013245.","journal-title":"Technometrics"},{"key":"265198_CR12","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1080\/00401706.1991.10484804","volume":"33","author":"M.D. Morris","year":"1991","unstructured":"Morris M.D. 1991. Factorial sampling plans for preliminary computational experiments. Technometrics 33: 161\u2013174.","journal-title":"Technometrics"},{"key":"265198_CR13","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1016\/S0167-9473(97)00043-1","volume":"26","author":"A. Saltelli","year":"1998","unstructured":"Saltelli A. and Bolado R. 1998. An alternative way to compute Fourier Amplitude Sensitivity Test (FAST). Computational Statistics and Data Analysis 26: 445\u2013460.","journal-title":"Computational Statistics and Data Analysis"},{"key":"265198_CR14","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1016\/0951-8320(95)00099-2","volume":"50","author":"A. Saltelli","year":"1995","unstructured":"Saltelli A. and Sobol' I.M. 1995. About the use of rank transformation in sensitivity analysis of model output. Reliability Engineering and System Safety 50: 225\u2013239.","journal-title":"Reliability Engineering and System Safety"},{"key":"265198_CR15","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1080\/00401706.1999.10485594","volume":"41","author":"A. Saltelli","year":"1999","unstructured":"Saltelli A., Tarantola S., and Chan K. 1999. A quantitative, model independent method for global sensitivity analysis of model output. Technometrics 41: 39\u201356.","journal-title":"Technometrics"},{"key":"265198_CR16","first-page":"124","volume":"8","author":"V. \u0160altenis","year":"1982","unstructured":"\u0160altenis V. and Dzemyda G. 1982. Structure analysis of extremal problems using an approximation of characteristics. Optimal Decision Theory 8: 124\u2013138.","journal-title":"Optimal Decision Theory"},{"key":"265198_CR17","doi-asserted-by":"crossref","first-page":"86","DOI":"10.1016\/0041-5553(67)90144-9","volume":"7","author":"I.M. Sobol'","year":"1967","unstructured":"Sobol' I.M. 1967. On the distribution of points in a cube and the approximate evaluation of integrals. USSR Computational Mathematics and Mathematical Physics 7: 86\u2013112.","journal-title":"USSR Computational Mathematics and Mathematical Physics"},{"key":"265198_CR18","doi-asserted-by":"crossref","first-page":"236","DOI":"10.1016\/0041-5553(76)90154-3","volume":"16","author":"I.M. Sobol'","year":"1976","unstructured":"Sobol' I.M. 1976. Uniformly distributed sequences with an additional uniform property. USSR Computational Mathematics and Mathematical Physics 16: 236\u2013242.","journal-title":"USSR Computational Mathematics and Mathematical Physics"},{"key":"265198_CR19","first-page":"407","volume":"1","author":"I.M. Sobol'","year":"1993","unstructured":"Sobol' I.M. 1993. Sensitivity analysis for nonlinear mathematical models. Mathematical Modeling & Computational Experiment. 1: 407\u2013414.","journal-title":"Mathematical Modeling & Computational Experiment."},{"key":"265198_CR20","unstructured":"Sobol' I.M. 1994. A Primer for the Monte Carlo Method. Boca Raton, CRC Press, USA."},{"key":"265198_CR21","unstructured":"Sobol' I.M., Turchaninov V.I., Levitan Y.L., and Shukhman B.V. 1992. Quasirandom sequence generators. Preprint, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences."}],"container-title":["Statistics and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1008950625967.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1008950625967\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1008950625967.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,8]],"date-time":"2025-08-08T05:12:54Z","timestamp":1754629974000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1008950625967"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,7]]},"references-count":21,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2000,7]]}},"alternative-id":["265198"],"URL":"https:\/\/doi.org\/10.1023\/a:1008950625967","relation":{},"ISSN":["0960-3174","1573-1375"],"issn-type":[{"value":"0960-3174","type":"print"},{"value":"1573-1375","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,7]]}}}