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Volumn 56, Issue 1, 2012, Pages 34-48

Robust joint modeling of mean and dispersion through trimming

Author keywords

Breakdown point; Extended quasi likelihood; Extended trimmed quasi likelihood; Generalized linear models; Joint modeling of mean and dispersion; Outlier detection

Indexed keywords

BREAKDOWN POINTS; GENERALIZED LINEAR MODEL; JOINT MODELING; OUTLIER DETECTION; QUASI-LIKELIHOOD;

EID: 80052024553     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2011.07.007     Document Type: Article
Times cited : (16)

References (41)
  • 1
    • 0442312206 scopus 로고    scopus 로고
    • Robust inference for generalized linear models
    • E. Cantoni, and E. Ronchetti Robust inference for generalized linear models J. Amer. Statist. Assoc. 96 2001 1022 1030
    • (2001) J. Amer. Statist. Assoc. , vol.96 , pp. 1022-1030
    • Cantoni, E.1    Ronchetti, E.2
  • 2
    • 78650804661 scopus 로고    scopus 로고
    • Robust diagnostics for the heteroscedastic regression model
    • T.-C. Cheng Robust diagnostics for the heteroscedastic regression model Comput. Statist. Data Anal. 55 2011 1845 1866
    • (2011) Comput. Statist. Data Anal. , vol.55 , pp. 1845-1866
    • Cheng, T.-C.1
  • 3
    • 47649122556 scopus 로고    scopus 로고
    • Robust estimation in the normal mixture model based on robust clustering
    • J.A. Cuesta-Albertos, C. Matrán, and A. Mayo-Iscar Robust estimation in the normal mixture model based on robust clustering J. R. Stat. Soc. Ser. B 70 2008 779 802
    • (2008) J. R. Stat. Soc. Ser. B , vol.70 , pp. 779-802
    • Cuesta-Albertos, J.A.1    Matrán, C.2    Mayo-Iscar, A.3
  • 4
    • 53349110016 scopus 로고    scopus 로고
    • General trimmed estimation: Robust approach to nonlinear and limited dependent variable models
    • P. íek General trimmed estimation: robust approach to nonlinear and limited dependent variable models Econometric Theory 24 2008 1500 1529
    • (2008) Econometric Theory , vol.24 , pp. 1500-1529
    • Íek, P.1
  • 5
    • 0002738159 scopus 로고
    • Parameter orthogonality and approximate conditional inference
    • D.R. Cox, and N. Reid Parameter orthogonality and approximate conditional inference J. R. Stat. Soc. Ser. B 49 1987 1 39
    • (1987) J. R. Stat. Soc. Ser. B , vol.49 , pp. 1-39
    • Cox, D.R.1    Reid, N.2
  • 6
    • 34548345844 scopus 로고    scopus 로고
    • Generalized d-fullness technique for breakdown point study of the trimmed likelihood estimator with applications
    • M. Hubert, G. Pison, A. Struyf, S. Van Aelst, Birkhuser Basel
    • R. Dimova, and N.M. Neykov Generalized d-fullness technique for breakdown point study of the trimmed likelihood estimator with applications M. Hubert, G. Pison, A. Struyf, S. Van Aelst, Theory and Applications of Recent Robust Methods 2004 Birkhuser Basel 83 91
    • (2004) Theory and Applications of Recent Robust Methods , pp. 83-91
    • Dimova, R.1    Neykov, N.M.2
  • 8
    • 84895372431 scopus 로고
    • Double exponential families and their use in generalized linear regression
    • B. Efron Double exponential families and their use in generalized linear regression J. Amer. Statist. Assoc. 81 1986 709 721
    • (1986) J. Amer. Statist. Assoc. , vol.81 , pp. 709-721
    • Efron, B.1
  • 9
    • 18444366492 scopus 로고    scopus 로고
    • A robust method for cluster analysis
    • DOI 10.1214/009053604000000940
    • M.T. Gallegos, and G. Ritter A robust method for cluster analysis Ann. Statist. 33 2005 347 380 (Pubitemid 40653793)
    • (2005) Annals of Statistics , vol.33 , Issue.1 , pp. 347-380
    • Gallegos, M.T.1    Ritter, G.2
  • 10
    • 70549110606 scopus 로고    scopus 로고
    • Using combinatorial optimization in model-based trimmed clustering with cardinality constraints
    • M.T. Gallegos, and G. Ritter Using combinatorial optimization in model-based trimmed clustering with cardinality constraints Comput. Statist. Data Anal. 54 2010 637 654
    • (2010) Comput. Statist. Data Anal. , vol.54 , pp. 637-654
    • Gallegos, M.T.1    Ritter, G.2
  • 12
    • 0001648516 scopus 로고
    • Iteratively reweighted least squares for maximum likelihood estimation, and some robust and resistant alternatives
    • P.J. Green Iteratively reweighted least squares for maximum likelihood estimation, and some robust and resistant alternatives J. R. Stat. Soc. Ser. B 46 1984 149 192
    • (1984) J. R. Stat. Soc. Ser. B , vol.46 , pp. 149-192
    • Green, P.J.1
  • 14
    • 69449091961 scopus 로고    scopus 로고
    • A procedure for robust fitting in nonlinear regression
    • D.M. Hawkins, and D.M. Khan A procedure for robust fitting in nonlinear regression Comput. Statist. Data Anal. 53 2009 4500 4507
    • (2009) Comput. Statist. Data Anal. , vol.53 , pp. 4500-4507
    • Hawkins, D.M.1    Khan, D.M.2
  • 15
    • 0036489051 scopus 로고    scopus 로고
    • Inconsistency of resampling algorithms for high-breakdown regression estimators and a new algorithm (with discussions)
    • D.M. Hawkins, and D.J. Olive Inconsistency of resampling algorithms for high-breakdown regression estimators and a new algorithm (with discussions) J. Amer. Statist. Assoc. 97 2002 136 159
    • (2002) J. Amer. Statist. Assoc. , vol.97 , pp. 136-159
    • Hawkins, D.M.1    Olive, D.J.2
  • 18
    • 0034355331 scopus 로고    scopus 로고
    • The relationship between double-exponential families and extended quasi-likelihood families, with application to modelling Geissler's human sex ration data
    • Y. Lee, and J.A. Nelder The relationship between double-exponential families and extended quasi-likelihood families, with application to modelling Geissler's human sex ration data Appl. Stat. 49 2000 413 419
    • (2000) Appl. Stat. , vol.49 , pp. 413-419
    • Lee, Y.1    Nelder, J.A.2
  • 19
    • 0032391334 scopus 로고    scopus 로고
    • Generalized linear models for the analysis of quality-improvement experiments
    • Y. Lee, and J.A. Nelder Generalized linear models for the analysis of quality-improvement experiments Canad. J. Statist. 26 1998 95 105 (Pubitemid 128341510)
    • (1998) Canadian Journal of Statistics , vol.26 , Issue.1 , pp. 95-105
    • Lee, Y.1    Nelder, J.A.2
  • 21
    • 0031065884 scopus 로고    scopus 로고
    • Weighted likelihood estimating equations: The discrete case with applications to logistic regression
    • PII S0378375896000456
    • M. Markatou, A. Basu, and B. Lindsay Weighted likelihood estimating equations: the discrete case with applications to logistic regression J. Statist. Plann. Inference 57 1997 215 232 (Pubitemid 127162320)
    • (1997) Journal of Statistical Planning and Inference , vol.57 , Issue.2 , pp. 215-232
    • Markatou, M.1    Basu, A.2    Lindsay, B.3
  • 24
    • 0043210614 scopus 로고    scopus 로고
    • Breakdown points of the trimmed likelihood and related estimators in generalized linear models
    • C.H. Mller, and N.M. Neykov Breakdown points of the trimmed likelihood and related estimators in generalized linear models J. Statist. Plann. Inference 116 2003 503 519
    • (2003) J. Statist. Plann. Inference , vol.116 , pp. 503-519
    • Mller, C.H.1    Neykov, N.M.2
  • 25
    • 0000456152 scopus 로고
    • An extended quasi-likelihood function
    • J.A. Nelder, and D. Pregibon An extended quasi-likelihood function Biometrika 74 1987 221 232
    • (1987) Biometrika , vol.74 , pp. 221-232
    • Nelder, J.A.1    Pregibon, D.2
  • 26
    • 34548352921 scopus 로고    scopus 로고
    • Breakdown point and computation of trimmed likelihood estimators in generalized linear models
    • R. Dutter, P. Filzmoser, U. Gather, P.J. Rousseeuw, Physica-Verlag Heidelberg
    • N.M. Neykov, and C.H. Mller Breakdown point and computation of trimmed likelihood estimators in generalized linear models R. Dutter, P. Filzmoser, U. Gather, P.J. Rousseeuw, Developments in Robust Statistics 2003 Physica-Verlag Heidelberg 277 286
    • (2003) Developments in Robust Statistics , pp. 277-286
    • Neykov, N.M.1    Mller, C.H.2
  • 27
    • 0041525847 scopus 로고
    • A robust alternative of the maximum likelihood estimators
    • Dubrovnik, Yugoslavia
    • Neykov, N.M., Neytchev, P., 1990. A robust alternative of the maximum likelihood estimators. COMPSTAT'90Short Communications, Dubrovnik, Yugoslavia, pp. 99100.
    • (1990) COMPSTAT'90Short Communications , pp. 99-100
    • Neykov, M.N.1    Neytchev, P.2
  • 28
    • 34548307049 scopus 로고    scopus 로고
    • Robust fitting of mixtures using the trimmed likelihood estimator
    • DOI 10.1016/j.csda.2006.12.024, PII S0167947306005019
    • N.M. Neykov, P. Filzmoser, R. Dimova, and P.N. Neytchev Robust fitting of mixtures using the trimmed likelihood estimator Comput. Statist. Data Anal. 52 2007 299 308 (Pubitemid 47336983)
    • (2007) Computational Statistics and Data Analysis , vol.52 , Issue.1 , pp. 299-308
    • Neykov, N.1    Filzmoser, P.2    Dimova, R.3    Neytchev, P.4
  • 29
    • 84907095419 scopus 로고    scopus 로고
    • R: A language and environment for statistical computing
    • R Development Core Team Vienna, Austria. ISBN 3-900051-07-0
    • R Development Core Team, 2006. R: a language and environment for statistical computing. R Foundation for Statistical Computing. Vienna, Austria. ISBN 3-900051-07-0.
    • (2006) R Foundation for Statistical Computing
  • 31
    • 84950968334 scopus 로고
    • Least median of squares regression
    • P.J. Rousseeuw Least median of squares regression J. Amer. Statist. Assoc. 79 1984 851 857
    • (1984) J. Amer. Statist. Assoc. , vol.79 , pp. 851-857
    • Rousseeuw, P.J.1
  • 32
    • 0032680362 scopus 로고    scopus 로고
    • A fast algorithm for the minimum covariance determinant estimator
    • P.J. Rousseeuw, and K. Van Driessen A fast algorithm for the minimum covariance determinant estimator Technometrics 41 1999 212 223
    • (1999) Technometrics , vol.41 , pp. 212-223
    • Rousseeuw, P.J.1    Van Driessen, K.2
  • 33
    • 23244450905 scopus 로고    scopus 로고
    • Computing least trimmed of squares regression for large data sets
    • P.J. Rousseeuw, and K. Van Driessen Computing least trimmed of squares regression for large data sets Estadistica 54 1999 163 190
    • (1999) Estadistica , vol.54 , pp. 163-190
    • Rousseeuw, P.J.1    Van Driessen, K.2
  • 34
    • 0001833787 scopus 로고
    • Generalized linear models with varying dispersion
    • G.K. Smyth Generalized linear models with varying dispersion J. R. Stat. Soc. Ser. B 51 1989 47 60
    • (1989) J. R. Stat. Soc. Ser. B , vol.51 , pp. 47-60
    • Smyth, G.K.1
  • 37
    • 0032718841 scopus 로고    scopus 로고
    • Adjusted likelihood methods for modelling dispersion in generalized linear models
    • G.K. Smyth, and A.P. Verbyla Adjusted likelihood methods for modelling dispersion in generalized linear models Environmetrics 10 1999 696 709
    • (1999) Environmetrics , vol.10 , pp. 696-709
    • Smyth, G.K.1    Verbyla, A.P.2
  • 38
    • 11744275304 scopus 로고    scopus 로고
    • About regression estimators with high breakdown point
    • D.L. Vandev, and N.M. Neykov About regression estimators with high breakdown point Statistics 32 1998 111 129 (Pubitemid 128607061)
    • (1998) Statistics , vol.32 , Issue.2 , pp. 111-129
    • Vandev, D.L.1    Neykov, N.M.2
  • 39
    • 0009284575 scopus 로고
    • Robust maximum likelihood in the Gaussian case
    • E. Ronchetti, W.A. Stahel, Birkhuser Verlag Basel
    • D.L. Vandev, and N.M. Neykov Robust maximum likelihood in the Gaussian case E. Ronchetti, W.A. Stahel, New Directions in Data Analysis and Robustness 1993 Birkhuser Verlag Basel 259 264
    • (1993) New Directions in Data Analysis and Robustness , pp. 259-264
    • Vandev, D.L.1    Neykov, N.M.2
  • 40
    • 0030556222 scopus 로고    scopus 로고
    • On high breakdown point estimation
    • J.A. Visek On high breakdown point estimation Comput. Statist. 11 1996 137 146
    • (1996) Comput. Statist. , vol.11 , pp. 137-146
    • Visek, J.A.1
  • 41
    • 0021045780 scopus 로고
    • Metabolic modifications caused by sport activity: Effect in leisure-time cross-country skiers
    • U. Zuliani, A. Mandras, G.F. Beltrami, A. Bonetti, G. Montani, and A. Novarini Metabolic modifications caused by sport activity: effect in leisure-time cross-country skiers J. Sports Med. Phys. Fitness 23 1983 385 392 (Pubitemid 14140233)
    • (1983) Journal of Sports Medicine and Physical Fitness , vol.23 , Issue.4 , pp. 385-392
    • Zuliani, U.1    Mandras, A.2    Beltrami, G.F.3


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