{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,20]],"date-time":"2025-02-20T05:26:00Z","timestamp":1740029160834,"version":"3.37.3"},"reference-count":54,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2010,4,23]],"date-time":"2010-04-23T00:00:00Z","timestamp":1271980800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Stat Methods Appl"],"published-print":{"date-parts":[[2010,8]]},"DOI":"10.1007\/s10260-010-0133-0","type":"journal-article","created":{"date-parts":[[2010,4,22]],"date-time":"2010-04-22T02:44:44Z","timestamp":1271904284000},"page":"333-354","source":"Crossref","is-referenced-by-count":9,"title":["Infinitesimally Robust estimation in general smoothly parametrized models"],"prefix":"10.1007","volume":"19","author":[{"given":"Matthias","family":"Kohl","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter","family":"Ruckdeschel","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Helmut","family":"Rieder","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2010,4,23]]},"reference":[{"key":"133_CR1","doi-asserted-by":"crossref","first-page":"1693","DOI":"10.1039\/AN9891401693","volume":"114","author":"Analytical Methods Committee","year":"1989","unstructured":"Analytical Methods Committee: (1989) Robust statistics\u2014how not to reject outliers. Analyst 114: 1693\u20131702","journal-title":"Analyst"},{"key":"133_CR2","volume-title":"Robust estimates of location. Survey and advances","author":"DF Andrews","year":"1972","unstructured":"Andrews DF, Bickel PJ, Hampel FR, Huber PJ, Rogers WH, Tukey JW (1972) Robust estimates of location. Survey and advances. Princeton University Press, Princeton"},{"key":"133_CR3","volume-title":"Ma\u00df- und integrationstheorie. (Measure and integration theory)","author":"H Bauer","year":"1990","unstructured":"Bauer H (1990) Ma\u00df- und integrationstheorie. (Measure and integration theory). Walter de Gruyter, Berlin"},{"key":"133_CR4","first-page":"2","volume":"876","author":"PJ Bickel","year":"1981","unstructured":"Bickel PJ (1981) Quelques aspects de la statistique robuste. Ecole d\u2019ete de probabilites de Saint-Flour IX-1979 876: 2\u201372","journal-title":"Ecole d\u2019ete de probabilites de Saint-Flour IX-1979"},{"key":"133_CR5","doi-asserted-by":"crossref","first-page":"1349","DOI":"10.1214\/aos\/1176346796","volume":"12","author":"PJ Bickel","year":"1984","unstructured":"Bickel PJ (1984) Robust regression based on infinitesimal neighbourhoods. Ann Stat 12: 1349\u20131368","journal-title":"Ann Stat"},{"key":"133_CR6","volume-title":"Efficient and adaptive estimation for semiparametric models","author":"PJ Bickel","year":"1998","unstructured":"Bickel PJ, Klaassen CAJ, Ritov Y, Wellner JA (1998) Efficient and adaptive estimation for semiparametric models. Springer, New York"},{"key":"133_CR7","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-75936-4","volume-title":"Software for data analysis","author":"JM Chambers","year":"2008","unstructured":"Chambers JM (2008) Software for data analysis. Programming with R. Springer, New York"},{"key":"133_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-6306-4","volume-title":"Programming with data: a guide to the S language","author":"JM Chambers","year":"1998","unstructured":"Chambers JM (1998) Programming with data: a guide to the S language. Springer, New York"},{"issue":"2","key":"133_CR9","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1214\/aos\/1176350821","volume":"16","author":"DL Donoho","year":"1988","unstructured":"Donoho DL, Liu RC (1988) Pathologies of some minimum distance estimators. Ann Stat 16(2): 587\u2013608","journal-title":"Ann Stat"},{"key":"133_CR10","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-5604-5","volume-title":"Von Mises calculus for statistical functionals. Lecture notes in statistics #19","author":"LT Fernholz","year":"1983","unstructured":"Fernholz LT (1983) Von Mises calculus for statistical functionals. Lecture notes in statistics #19. Springer, New York"},{"issue":"1","key":"133_CR11","doi-asserted-by":"crossref","first-page":"194","DOI":"10.1214\/aos\/996986506","volume":"29","author":"R Fraiman","year":"2001","unstructured":"Fraiman R, Yohai VJ, Zamar RH (2001) Optimal robust M-estimates of location. Ann Stat 29(1): 194\u2013223","journal-title":"Ann Stat"},{"key":"133_CR12","unstructured":"H\u00e1jek J (1972) Local asymptotic minimax and admissibility in estimation. In: Proceedings of 6th Berkeley symposium mathematics statistics probability, vol 1. University of California 1970, pp 175\u2013194"},{"key":"133_CR13","unstructured":"Hampel FR (1968) Contributions to the theory of robust estimation. Dissertation, University of California, Berkely, CA"},{"key":"133_CR14","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":"133_CR15","unstructured":"Huber PJ (1997) Robust statistical procedures, 2 edn. In: CBMS-NSF regional conference series in applied mathematics. 68. SIAM, Philadelphia, PA"},{"key":"133_CR16","doi-asserted-by":"crossref","DOI":"10.1002\/0471725250","volume-title":"Robust statistics","author":"PJ Huber","year":"1981","unstructured":"Huber PJ (1981) Robust statistics. Wiley, New York"},{"key":"133_CR17","unstructured":"Huber-Carol C (1970) \u00c9tude asymptotique de tests robustes. Th\u00e8se de Doctorat, ETH Z\u00fcrich"},{"key":"133_CR18","unstructured":"Hubert M, Vandervieren E (2006) An adjusted boxplot for skewed distributions. Technical report TR-06-11, KU Leuven, Section of Statistics, Leuven, URL http:\/\/wis.kuleuven.be\/stat\/robust\/Papers\/TR0611.pdf"},{"key":"133_CR19","unstructured":"Kohl M (2008) RobLox: optimally robust influence curves for location and scale. R package version 0.6.1, URL http:\/\/robast.r-forge.r-project.org"},{"key":"133_CR20","unstructured":"Kohl M (2005) Numerical contributions to the asymptotic theory of robustness. Dissertation, University of Bayreuth, Bayreuth"},{"key":"133_CR21","unstructured":"Kohl M, Ruckdeschel P (2008a) RandVar: implementation of random variables. R package version 0.6.6, URL http:\/\/robast.r-forge.r-project.org"},{"key":"133_CR22","doi-asserted-by":"crossref","unstructured":"Kohl M, Ruckdeschel P (2008b) RobAStBase: Robust asymptotic statistics. R package version 0.1.5, URL http:\/\/robast.r-forge.r-project.org","DOI":"10.32614\/CRAN.package.RobAStBase"},{"key":"133_CR23","doi-asserted-by":"crossref","unstructured":"Kohl M, Ruckdeschel P (2008c) ROptEst: optimally robust estimation. R package version 0.6.3, URL http:\/\/robast.r-forge.r-project.org","DOI":"10.32614\/CRAN.package.ROptEst"},{"key":"133_CR24","volume-title":"Th\u00e9orie asymptotique de la d\u00e9cision statistique","author":"L Le Cam","year":"1969","unstructured":"Le Cam L (1969) Th\u00e9orie asymptotique de la d\u00e9cision statistique. Les Presses de l\u2019Universit\u00e9 de Montr\u00e9al, Montreal, Canada"},{"key":"133_CR25","unstructured":"Marazzi A (1993) Algorithms, routines, and S functions for robust statistics. The FORTRAN library ROBETH with an interface to S-PLUS. With the collaboration of Johann Joss and Alex Randriamiharisoa. Brooks\/Cole Statistics\/Probability Series, Wadsworth, URL http:\/\/www.iumsp.ch\/Unites\/us\/Alfio\/msp_programmes.htm"},{"key":"133_CR26","doi-asserted-by":"crossref","first-page":"915","DOI":"10.1097\/00005650-199806000-00014","volume":"36","author":"A Marazzi","year":"1998","unstructured":"Marazzi A, Paccaud F, Ruffieux C, Beguin C (1998) Fitting the distributions of length of stay by parametric models. Med Care 36: 915\u2013927","journal-title":"Med Care"},{"key":"133_CR27","doi-asserted-by":"crossref","DOI":"10.1002\/0470010940","volume-title":"Robust statistics: theory and methods","author":"RA Maronna","year":"2006","unstructured":"Maronna RA, Martin RD, Yohai VJ (2006) Robust statistics: theory and methods. Wiley, New York"},{"key":"133_CR28","volume-title":"Probabilit\u00e9s et potential","author":"PA Meyer","year":"1966","unstructured":"Meyer PA (1966) Probabilit\u00e9s et potential. Hermann (Editions Scientifiques), Paris"},{"key":"133_CR29","doi-asserted-by":"crossref","DOI":"10.1515\/9783110889765","volume-title":"Parametric statistical theory","author":"J Pfanzagl","year":"1994","unstructured":"Pfanzagl J (1994) Parametric statistical theory. De Gruyter Textbook, Berlin"},{"key":"133_CR30","doi-asserted-by":"crossref","unstructured":"Pfanzagl J (1990) Estimation in semiparametric models. Some recent developments. In: Lecture notes in statistics, 63, Springer, New York","DOI":"10.1007\/978-1-4612-3396-1"},{"key":"133_CR31","unstructured":"R Development Core Team (2009) R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria, ISBN 3-900051-07-0, URL http:\/\/www.R-project.org"},{"key":"133_CR32","unstructured":"Reeds JA (1976) On the definition of von Mises functionals. Ph.D. Thesis, Harvard University, Cambridge"},{"key":"133_CR33","unstructured":"Rieder H (2003) Robust estimation for time series models based on infinitesimal neighborhoods. Talk presented at EPF Lausanne. Slides available under http:\/\/www.stoch.uni-bayreuth.de\/de\/pdfFiles\/zzk12Jun03.pdf"},{"key":"133_CR34","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-0624-5","volume-title":"Robust asymptotic statistics","author":"H Rieder","year":"1994","unstructured":"Rieder H (1994) Robust asymptotic statistics. Springer, New York"},{"key":"133_CR35","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1214\/aos\/1176344894","volume":"8","author":"H Rieder","year":"1980","unstructured":"Rieder H (1980) Estimates derived from robust tests. Ann Stat 8: 106\u2013115","journal-title":"Ann Stat"},{"key":"133_CR36","doi-asserted-by":"crossref","first-page":"1080","DOI":"10.1214\/aos\/1176344312","volume":"6","author":"H Rieder","year":"1978","unstructured":"Rieder H (1978) A robust asymptotic testing model. Ann Stat 6: 1080\u20131094","journal-title":"Ann Stat"},{"key":"133_CR37","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1007\/s10260-007-0047-7","volume":"17","author":"H Rieder","year":"2008","unstructured":"Rieder H, Kohl M, Ruckdeschel P (2008) The cost of not knowing the radius. Stat Meth Appl 17: 13\u201340","journal-title":"Stat Meth Appl"},{"key":"133_CR38","first-page":"419","volume":"19","author":"H Rieder","year":"2001","unstructured":"Rieder H, Ruckdeschel P (2001) Short proofs on L r \u2014differentiability. Stat Decis 19: 419\u2013425","journal-title":"Stat Decis"},{"key":"133_CR39","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":"133_CR40","unstructured":"Ruckdeschel P (2009b) Uniform higher order asymptotics for risks on neighborhoods. In preparation. A preliminary version is available on request"},{"key":"133_CR41","unstructured":"Ruckdeschel P (2009a) Uniform integrability on neighborhoods. In preparation. A preliminary version is available on request"},{"issue":"3","key":"133_CR42","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1007\/s00184-005-0020-0","volume":"63","author":"P Ruckdeschel","year":"2006","unstructured":"Ruckdeschel P (2006) A Motivation for $${1\/\\sqrt{n}}$$ -Shrinking-Neighborhoods. Metrika 63(3): 295\u2013307","journal-title":"Metrika"},{"key":"133_CR43","unstructured":"Ruckdeschel P, Kohl M, Stabla T, Camphausen F (2008) S4 classes for distributions\u2014a manual for packages distr, distrSim, distrTEst, distrEx, distrMod, and distrTeach. Technical report, Fraunhofer ITWM, Kaiserslautern, Germany"},{"issue":"2","key":"133_CR44","first-page":"2","volume":"6","author":"P Ruckdeschel","year":"2006","unstructured":"Ruckdeschel P, Kohl M, Stabla T, Camphausen F (2006) S4 classes for distributions. R News 6(2): 2\u20136","journal-title":"R News"},{"key":"133_CR45","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1524\/stnd.22.3.201.57067","volume":"22","author":"P Ruckdeschel","year":"2004","unstructured":"Ruckdeschel P, Rieder H (2004) Optimal influence curves for general loss functions. Stat Decis 22: 201\u2013223","journal-title":"Stat Decis"},{"key":"133_CR46","doi-asserted-by":"crossref","first-page":"698","DOI":"10.1080\/14786441008636955","volume":"20","author":"E Rutherford","year":"1910","unstructured":"Rutherford E, Geiger H (1910) The probability variations in the distribution of alpha particles. Philos Mag 20: 698\u2013704","journal-title":"Philos Mag"},{"issue":"10","key":"133_CR47","doi-asserted-by":"crossref","first-page":"2906","DOI":"10.1016\/j.jspi.2007.11.008","volume":"138","author":"G Shevlyakov","year":"2008","unstructured":"Shevlyakov G, Morgenthaler S, Shurygin A (2008) Redescending M-estimators. J Stat Plan Inference 138(10): 2906\u20132917","journal-title":"J Stat Plan Inference"},{"key":"133_CR48","unstructured":"Todorov V, Ruckstuhl A, Salibian-Barrera M, Verbeke T, Maechler M (2009) Robustbase: basic Robust statistics. Original code by many authors, notably Rousseeuw P, Croux C, see file \u2018Copyrights\u2019, R package version 0.5-0-1, URL http:\/\/CRAN.R-project.org\/package=robustbase"},{"key":"133_CR49","doi-asserted-by":"crossref","unstructured":"Todorov V, Filzmoser P (2009) An object-oriented framework for robust multivariate analysis. J Stat Softw 32(3):1\u201347, URL http:\/\/www.jstatsoft.org\/v32\/i03\/","DOI":"10.18637\/jss.v032.i03"},{"key":"133_CR50","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511802256","volume-title":"Asymptotic statistics","author":"AW Vaart van der","year":"1998","unstructured":"van der Vaart AW (1998) Asymptotic statistics. Cambridge University Press, Cambridge"},{"key":"133_CR51","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-21706-2","volume-title":"Modern applied statistics with S","author":"WN Venables","year":"2002","unstructured":"Venables WN, Ripley BD (2002) Modern applied statistics with S, 4 edn. Springer, New York","edition":"4"},{"key":"133_CR52","unstructured":"Wang J, Zamar R, Marazzi A, Yohai V, Salibian-Barrera M, Maronna R, Zivot E, Rocke D, Martin D, Maechler M, Konis K (2009) Robust: insightful Robust library. R package version 0.3\u20139, URL http:\/\/CRAN.R-project.org\/package=robust"},{"key":"133_CR53","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-322-90150-7","volume-title":"Mathematische statistik I: parametrische verfahren bei festem stichprobenumfang","author":"H Witting","year":"1985","unstructured":"Witting H (1985) Mathematische statistik I: parametrische verfahren bei festem stichprobenumfang. B.G. Teubner, Stuttgart"},{"issue":"2","key":"133_CR54","doi-asserted-by":"crossref","first-page":"642","DOI":"10.1214\/aos\/1176350366","volume":"15","author":"VJ Yohai","year":"1987","unstructured":"Yohai VJ (1987) High breakdown-point and high efficiency robust estimates for regression. Ann Stat 15(2): 642\u2013656","journal-title":"Ann Stat"}],"container-title":["Statistical Methods & Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10260-010-0133-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10260-010-0133-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10260-010-0133-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,20]],"date-time":"2025-02-20T03:24:45Z","timestamp":1740021885000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10260-010-0133-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,4,23]]},"references-count":54,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2010,8]]}},"alternative-id":["133"],"URL":"https:\/\/doi.org\/10.1007\/s10260-010-0133-0","relation":{},"ISSN":["1618-2510","1613-981X"],"issn-type":[{"type":"print","value":"1618-2510"},{"type":"electronic","value":"1613-981X"}],"subject":[],"published":{"date-parts":[[2010,4,23]]}}}