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Volumn 55, Issue 1, 2011, Pages 324-337

A smoothing principle for the Huber and other location M-estimators

Author keywords

Breakdown point; Cauchy distribution; Double exponential distribution; Huber's least favourable distribution; MAD; Median; ML estimator; Pitman estimator; Robust estimation; Small sample asymptotics

Indexed keywords

COMPUTATIONAL METHODS; DATA HANDLING;

EID: 77957754305     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2010.05.001     Document Type: Article
Times cited : (27)

References (25)
  • 2
    • 0000072546 scopus 로고
    • On a formula for the conditional distribution of the maximum likelihood estimator
    • Barndorff-Nielsen, O.E., 1983. On a formula for the conditional distribution of the maximum likelihood estimator. Biometrika 70, 343-365.
    • (1983) Biometrika , vol.70 , pp. 343-365
    • Barndorff-Nielsen, O.E.1
  • 3
    • 0001667622 scopus 로고
    • Inference on full or partial parameters based on the standardized signed log likelihood ratio
    • Barndorff-Nielsen, O.E., 1986. Inference on full or partial parameters based on the standardized signed log likelihood ratio. Biometrika 73, 307-322.
    • (1986) Biometrika , vol.73 , pp. 307-322
    • Barndorff-Nielsen, O.E.1
  • 5
    • 4444226118 scopus 로고    scopus 로고
    • On the finite sample breakdown points of redescending M-estimates of location
    • Chen, Z., Tyler, D.E., 2004. On the finite sample breakdown points of redescending M-estimates of location. Statistics and Probability Letters 69, 233-242.
    • (2004) Statistics and Probability Letters , vol.69 , pp. 233-242
    • Chen, Z.1    Tyler, D.E.2
  • 8
    • 0002600304 scopus 로고
    • Saddlepoint approximations for estimating equations
    • Daniels, H.E., 1983. Saddlepoint approximations for estimating equations. Biometrika 70, 89-96.
    • (1983) Biometrika , vol.70 , pp. 89-96
    • Daniels, H.E.1
  • 9
    • 0002231562 scopus 로고
    • Bickel, P.J., Doksum, K., Hodges Jr., J.L. (Eds.) A Festschrift for Erich L. Lehmann. Wadsworth, Belmont, CA
    • Donoho, D.L., Huber, P.J., 1983. The notion of breakdown point. In: Bickel, P.J., Doksum, K., Hodges Jr., J.L. (Eds.), A Festschrift for Erich L. Lehmann. Wadsworth, Belmont, CA, pp. 157-184.
    • (1983) The Notion of Breakdown Point , pp. 157-184
    • Donoho, D.L.1    Huber, P.J.2
  • 10
    • 70350303663 scopus 로고
    • Small-sample asymptotic distributions of M-estimators of location
    • Field, C.A., Hampel, F.R., 1982. Small-sample asymptotic distributions of M-estimators of location. Biometrika 69, 29-46.
    • (1982) Biometrika , vol.69 , pp. 29-46
    • Field, C.A.1    Hampel, F.R.2
  • 11
    • 0004163149 scopus 로고
    • Institute of Mathematical Statistics - Monograph Series, Hayward, CA
    • Field, C.A., Ronchetti, E., 1990. Small sample asymptotics. In: Institute of Mathematical Statistics - Monograph Series, Hayward, CA.
    • (1990) Small Sample Asymptotics
    • Field, C.A.1    Ronchetti, E.2
  • 13
    • 77958069087 scopus 로고    scopus 로고
    • Rieder, H. (Ed.), Robust Statistics, Data Analysis and Computer Intensive Methods; In Honor of Peter Hubers 60th Birthday. Springer, New York
    • Hampel, F., 1996. On the philosophical foundations of statistics: bridges to Hubers work and recent results. In: Rieder, H. (Ed.), Robust Statistics, Data Analysis and Computer Intensive Methods; In Honor of Peter Hubers 60th Birthday. Springer, New York, pp. 185-196.
    • (1996) On the Philosophical Foundations of Statistics: Bridges to Hubers Work and Recent Results , pp. 185-196
    • Hampel, F.1
  • 15
    • 0003157339 scopus 로고
    • Robust estimation of a location parameter
    • Huber, P.J., 1964. Robust estimation of a location parameter. Annals of Mathematical Statistics 35, 73-101.
    • (1964) Annals of Mathematical Statistics , vol.35 , pp. 73-101
    • Huber, P.J.1
  • 17
    • 30744455254 scopus 로고    scopus 로고
    • Maximum smoothed likelihood estimation
    • Ionides, E.L., 2005. Maximum smoothed likelihood estimation. Statistica Sinica 15, 1003-1014.
    • (2005) Statistica Sinica , vol.15 , pp. 1003-1014
    • Ionides, E.L.1
  • 18
    • 0000704801 scopus 로고    scopus 로고
    • Rieder, H. (Ed.), Robust Statistics, Data Analysis and Computer Intensive Methods; In Honor of Peter Huber's 60th Birthday. Springer, New York
    • Lischer, P., 1996. Robust statistical methods in interlaboratory analytical studies. In: Rieder, H. (Ed.), Robust Statistics, Data Analysis and Computer Intensive Methods; In Honor of Peter Huber's 60th Birthday. Springer, New York, pp. 251-264.
    • (1996) Robust Statistical Methods in Interlaboratory Analytical Studies , pp. 251-264
    • Lischer, P.1
  • 19
    • 0000660352 scopus 로고
    • Saddle point approximation for the distribution of the sum of independent random variables
    • Lugannani, R., Rice, S.O., 1980. Saddle point approximation for the distribution of the sum of independent random variables. Advances in Applied Probability 12, 475-490.
    • (1980) Advances in Applied Probability , vol.12 , pp. 475-490
    • Lugannani, R.1    Rice, S.O.2
  • 21
    • 0010860902 scopus 로고
    • The estimation of the location and scale parameters of a continuous population of any given form
    • Pitman, E.J., 1939. The estimation of the location and scale parameters of a continuous population of any given form. Biometrika 30, 391-421.
    • (1939) Biometrika , vol.30 , pp. 391-421
    • Pitman, E.J.1
  • 23
    • 77950928385 scopus 로고    scopus 로고
    • A computational strategy for doubly smoothed MLE exemplified in the normal mixture model
    • Seo, B., Lindsay, B.G., 2010. A computational strategy for doubly smoothed MLE exemplified in the normal mixture model. Computational Statistics & Data Analysis 54, 1930-1941.
    • (2010) Computational Statistics & Data Analysis , vol.54 , pp. 1930-1941
    • Seo, B.1    Lindsay, B.G.2
  • 24
  • 25
    • 0032387114 scopus 로고    scopus 로고
    • Higher-order approximations for Pitman estimators and for optimal compromise estimators
    • Ventura, L., 1998. Higher-order approximations for pitman estimators and for optimal compromise estimators. Canadian Journal of Statistics 26, 49-55. (Pubitemid 128341506)
    • (1998) Canadian Journal of Statistics , vol.26 , Issue.1 , pp. 49-55
    • Ventura, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.