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Volumn 42, Issue 1, 2000, Pages 113-117

A note on robustness of the β-trimmed mean

Author keywords

Adaptive estimation; Asymptotic normality; Exponential distribution; Fr chet differentiability; Trimmed likelihood estimator

Indexed keywords


EID: 0034386962     PISSN: 13691473     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-842X.00111     Document Type: Article
Times cited : (4)

References (11)
  • 1
    • 0010805232 scopus 로고
    • Fréchet differentiability of statistical functionals and implications to robust statistics
    • eds S. Morgenthaler, E. Ronchetti & W.A. Stahel, Basel: Birkhäuser Verlag
    • BEDNARSKI, T. (1993). Fréchet differentiability of statistical functionals and implications to robust statistics. In New Directions in Statistical Data Analysis and Robustness, eds S. Morgenthaler, E. Ronchetti & W.A. Stahel, pp.25-34. Basel: Birkhäuser Verlag.
    • (1993) New Directions in Statistical Data Analysis and Robustness , pp. 25-34
    • Bednarski, T.1
  • 2
    • 84990495066 scopus 로고
    • Trimmed likelihood estimation of location and scale of the normal distribution
    • BEDNARSKI, T. & CLARKE, B.R. (1993). Trimmed likelihood estimation of location and scale of the normal distribution. Austral. J. Statist. 35, 141-153.
    • (1993) Austral. J. Statist. , vol.35 , pp. 141-153
    • Bednarski, T.1    Clarke, B.R.2
  • 4
    • 0347296013 scopus 로고
    • A differential for L-statistics
    • BOOS, D. (1979). A differential for L-statistics. Ann. Statist. 7, 955-959.
    • (1979) Ann. Statist. , vol.7 , pp. 955-959
    • Boos, D.1
  • 5
    • 0001302224 scopus 로고
    • A note on differentials and the CLT and LIL for statistical functions with application to M-estimates
    • BOOS, D. & SERFLING, R.J. (1980). A note on differentials and the CLT and LIL for statistical functions with application to M-estimates. Ann. Statist. 8, 618-624.
    • (1980) Ann. Statist. , vol.8 , pp. 618-624
    • Boos, D.1    Serfling, R.J.2
  • 6
    • 0000527012 scopus 로고
    • Uniqueness and Fréchet differentiability of functional solutions to maximum likelihood type equations
    • CLARKE, B.R. (1983). Uniqueness and Fréchet differentiability of functional solutions to maximum likelihood type equations. Ann. Statist. 11, 1196-1205.
    • (1983) Ann. Statist. , vol.11 , pp. 1196-1205
    • Clarke, B.R.1
  • 7
    • 84990532267 scopus 로고
    • Empirical evidence for adaptive confidence intervals and identification of outliers using methods of trimming
    • CLARKE, B.R. (1994). Empirical evidence for adaptive confidence intervals and identification of outliers using methods of trimming. Austral. J. Statist. 36, 45-58.
    • (1994) Austral. J. Statist. , vol.36 , pp. 45-58
    • Clarke, B.R.1
  • 8
    • 84950646761 scopus 로고
    • The influence curve and its role in robust estimation
    • HAMPEL, F.R. (1974). The influence curve and its role in robust estimation. J. Amer. Statist. Assoc. 69, 383-393.
    • (1974) J. Amer. Statist. Assoc. , vol.69 , pp. 383-393
    • Hampel, F.R.1
  • 11
    • 0000669703 scopus 로고
    • On the asymptotic distribution of differentiable statistical functions
    • VON MISES, R. (1947). On the asymptotic distribution of differentiable statistical functions. Ann. Math. Statist. 18, 309-348.
    • (1947) Ann. Math. Statist. , vol.18 , pp. 309-348
    • Von Mises, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.