메뉴 건너뛰기




Volumn 55, Issue 1-2, 2002, Pages 3-16

An exchange algorithm for computing the least quartile difference estimator

Author keywords

Exchange algorithm; Least median of squares; Least quartile difference; Robust regression

Indexed keywords


EID: 0036386403     PISSN: 00261335     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001840200182     Document Type: Conference Paper
Times cited : (2)

References (24)
  • 1
    • 32844454957 scopus 로고    scopus 로고
    • Exact algorithms for computing the least median of squares in multiple linear regression
    • Dodge Y., ed. (IMS, California)
    • 1-Statistical Procedures and Related Topics (IMS, California) 133-146.
    • (1997) 1-Statistical Procedures and Related Topics , pp. 133-146
    • Agulló, J.1
  • 2
    • 0000899192 scopus 로고    scopus 로고
    • Speeding up the computation of the least quartile estimator
    • Payne R., ed., England, 1998 (Physica-Verlag, Heidelberg)
    • Agulló J. (1998) Speeding up the computation of the least quartile estimator. In: Payne R., ed., COMPSTAT'98. Proceedings in Computational Statistics. 13th Symposium held in Bristol, England, 1998 (Physica-Verlag, Heidelberg) 161-166.
    • (1998) COMPSTAT'98. Proceedings in Computational Statistics. 13th Symposium held in Bristol , pp. 161-166
    • Agulló, J.1
  • 3
    • 0010591929 scopus 로고
    • Min-max estimates for a linear multiple regression problem
    • Armstrong R.D., Kung D.S. (1979) Min-max estimates for a linear multiple regression problem. Applied Statistics 28:93-100.
    • (1979) Applied Statistics , vol.28 , pp. 93-100
    • Armstrong, R.D.1    Kung, D.S.2
  • 4
    • 0010592205 scopus 로고
    • A dual method for discrete Chebychev curve fitting
    • Armstrong R.D., Kung D.S. (1980) A dual method for discrete Chebychev curve fitting. Mathematical Programming 19:186-199.
    • (1980) Mathematical Programming , vol.19 , pp. 186-199
    • Armstrong, R.D.1    Kung, D.S.2
  • 6
    • 0032114340 scopus 로고    scopus 로고
    • Stability under contamination of robust regression estimators based on differences of residuals
    • Berrendero J.R., Romo J. (1998) Stability under contamination of robust regression estimators based on differences of residuals. Journal of Statistical Planning and Inference 70:149-165.
    • (1998) Journal of Statistical Planning and Inference , vol.70 , pp. 149-165
    • Berrendero, J.R.1    Romo, J.2
  • 8
    • 0000202692 scopus 로고
    • Time-efficient algorithms for two highly robust estimators of scale
    • Dodge Y., Whittaker J., eds. (Physica Verlag, Heidelberg)
    • Croux C., Rousseeuw P.J. (1992) Time-efficient algorithms for two highly robust estimators of scale. In: Dodge Y., Whittaker J., eds., Computational Statistics, 1 (Physica Verlag, Heidelberg) 411-428.
    • (1992) Computational Statistics , vol.1 , pp. 411-428
    • Croux, C.1    Rousseeuw, P.J.2
  • 12
    • 38249003834 scopus 로고
    • The feasible set algorithm for least median of squares regression
    • Hawkins D.M. (1993) The feasible set algorithm for least median of squares regression. Computational Statistics and Data Analysis 16:81-101.
    • (1993) Computational Statistics and Data Analysis , vol.16 , pp. 81-101
    • Hawkins, D.M.1
  • 13
    • 0010558533 scopus 로고
    • Convergence of the feasible solution algorithm for least median of squares regression
    • Hawkins D.M. (1995) Convergence of the feasible solution algorithm for least median of squares regression. Computational Statistics and Data Analysis 19:519-538.
    • (1995) Computational Statistics and Data Analysis , vol.19 , pp. 519-538
    • Hawkins, D.M.1
  • 14
    • 0021482113 scopus 로고
    • Location of several outliers in multiple regression data using elemental sets
    • Hawkins D.M., Bradu D., Kass G.V. (1984) Location of several outliers in multiple regression data using elemental sets. Technometrics 26:197-208.
    • (1984) Technometrics , vol.26 , pp. 197-208
    • Hawkins, D.M.1    Bradu, D.2    Kass, G.V.3
  • 16
    • 84968518329 scopus 로고
    • A steepest ascent method for the Chebyshev problem
    • Meicler M. (1969) A steepest ascent method for the Chebyshev problem. Mathematics of Computation 23:813-817.
    • (1969) Mathematics of Computation , vol.23 , pp. 813-817
    • Meicler, M.1
  • 17
    • 0022417337 scopus 로고
    • Selection in X + Y and matrices with sorted rows and columns
    • Mirzaian A., Arjomandi E. (1985) Selection in X + Y and matrices with sorted rows and columns. Information Processing Letters 20:13-17.
    • (1985) Information Processing Letters , vol.20 , pp. 13-17
    • Mirzaian, A.1    Arjomandi, E.2
  • 20
    • 0002187145 scopus 로고
    • Über diskrete und lineare Tschebyscheff approximationen
    • Stiefel E. (1959) Über diskrete und lineare Tschebyscheff approximationen. Numerische Mathematik 1:1-28.
    • (1959) Numerische Mathematik , vol.1 , pp. 1-28
    • Stiefel, E.1
  • 21
    • 33746816918 scopus 로고
    • Note on Jordan elimination, linear programming and Tschebyscheff approximation
    • Stiefel E. (1960) Note on Jordan elimination, linear programming and Tschebyscheff approximation. Numerische Mathematik 2:1-17.
    • (1960) Numerische Mathematik , vol.2 , pp. 1-17
    • Stiefel, E.1
  • 22
    • 0000526780 scopus 로고
    • Computing the exact least median of squares estimate and stability diagnostics in multiple linear regression
    • Stromberg A. (1993) Computing the exact least median of squares estimate and stability diagnostics in multiple linear regression. SIAM Journal of Scientific Computation 14:1289-1299.
    • (1993) SIAM Journal of Scientific Computation , vol.14 , pp. 1289-1299
    • Stromberg, A.1
  • 23
    • 0001312511 scopus 로고
    • Algorithm AS 183, an efficient and portable pseudorandom number generator
    • Wichman B.A., Hill I.D. (1982) Algorithm AS 183, an efficient and portable pseudorandom number generator. Applied Statistics 31:188-190.
    • (1982) Applied Statistics , vol.31 , pp. 188-190
    • Wichman, B.A.1    Hill, I.D.2
  • 24
    • 0000160321 scopus 로고
    • A minimax-bias property of the least α-quantile estimates
    • Yohai V., Zamar R. (1993) A minimax-bias property of the least α-quantile estimates. Annals of Statistics 21:1824-1842.
    • (1993) Annals of Statistics , vol.21 , pp. 1824-1842
    • Yohai, V.1    Zamar, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.