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Volumn 18, Issue 11, 1999, Pages 1401-1417

The minimum sum of absolute errors regression: A robust alternative to the least squares regression

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL ERROR; ARTICLE; DATA ANALYSIS; INTERSTITIAL LUNG DISEASE; REGRESSION ANALYSIS;

EID: 0033564816     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0258(19990615)18:11<1401::AID-SIM136>3.0.CO;2-G     Document Type: Article
Times cited : (19)

References (65)
  • 3
    • 0021288425 scopus 로고
    • Interstitial lung disease of unknown cause: Disorders characterized by chronic inflammation of the lower respiratory trace (First of two parts)
    • Crystal, R. G., Bitterman, P. B., Rennard, S. I., Hance, A. J. and Keogh, B. A. 'Interstitial lung disease of unknown cause: disorders characterized by chronic inflammation of the lower respiratory trace (First of two parts)', New England Journal of Medicine, 19, 154-166 (1984).
    • (1984) New England Journal of Medicine , vol.19 , pp. 154-166
    • Crystal, R.G.1    Bitterman, P.B.2    Rennard, S.I.3    Hance, A.J.4    Keogh, B.A.5
  • 5
    • 0018365051 scopus 로고
    • Morphologic-physiologic correlates of the severity of fibrosis and degree of cellularity in idiophatic pulmonary fibrosis
    • Fulmer, J. D., Robert, W. C., von Gal, E. R. and Crystal, R. G. 'Morphologic-physiologic correlates of the severity of fibrosis and degree of cellularity in idiophatic pulmonary fibrosis', Journal of Clinical Investigations, 63, 665-676 (1979).
    • (1979) Journal of Clinical Investigations , vol.63 , pp. 665-676
    • Fulmer, J.D.1    Robert, W.C.2    Von Gal, E.R.3    Crystal, R.G.4
  • 6
    • 0022655782 scopus 로고
    • A clinical radiographic and physiologic scoring system for the longitudinal assessment of patient with idiophatic pulmonary fibrosis
    • Watters, L C., King, T. E., Schwarz, M. I., Waldron, J. A., Styanford, R. E. and Cherniak, R. M. 'A clinical radiographic and physiologic scoring system for the longitudinal assessment of patient with idiophatic pulmonary fibrosis', American Review of Respiratory Diseases, 133, 97-103 (1986).
    • (1986) American Review of Respiratory Diseases , vol.133 , pp. 97-103
    • Watters, L.C.1    King, T.E.2    Schwarz, M.I.3    Waldron, J.A.4    Styanford, R.E.5    Cherniak, R.M.6
  • 7
    • 0026038935 scopus 로고
    • Lung infection testing: Selection of reference values and interpretative strategies
    • American Thoracic Society. 'Lung infection testing: Selection of reference values and interpretative strategies', American Review of Respiratory Diseases, 144, 1202-1218 (1991).
    • (1991) American Review of Respiratory Diseases , vol.144 , pp. 1202-1218
  • 9
    • 84907132761 scopus 로고
    • A simple procedure to obtain one-micrometer sections of routinely embedded paraffin material
    • Junqueira, L. C. U., Silva, M. D. A. and Torloni, H. 'A simple procedure to obtain one-micrometer sections of routinely embedded paraffin material', Stain Technology, 64, 39-42 (1989).
    • (1989) Stain Technology , vol.64 , pp. 39-42
    • Junqueira, L.C.U.1    Silva, M.D.A.2    Torloni, H.3
  • 10
  • 13
    • 84952122605 scopus 로고
    • Prediction, linear regression and minimum sum of absolute errors
    • Narula, S. C. and Wellington, J. F. 'Prediction, linear regression and minimum sum of absolute errors', Technometrics, 19, 185-190 (1977).
    • (1977) Technometrics , vol.19 , pp. 185-190
    • Narula, S.C.1    Wellington, J.F.2
  • 14
    • 0022059336 scopus 로고
    • Interior analysis for the minimum sum of absolute errors regression
    • Narula, S. C. and Wellington, J. F. 'Interior analysis for the minimum sum of absolute errors regression', Technometrics, 27, 181-188 (1985).
    • (1985) Technometrics , vol.27 , pp. 181-188
    • Narula, S.C.1    Wellington, J.F.2
  • 15
    • 0001033261 scopus 로고
    • Robust regression: Asymptotics, conjectures and Monte Carlo
    • Huber, P. J. 'Robust regression: asymptotics, conjectures and Monte Carlo', Annals of Statistics, 1, 799-821 (1973).
    • (1973) Annals of Statistics , vol.1 , pp. 799-821
    • Huber, P.J.1
  • 16
    • 0001340473 scopus 로고
    • A general qualitative definition of robustness
    • Hampel, F. R. 'A general qualitative definition of robustness', Annals of Mathematical Statistics, 42, 1887-1896 (1971).
    • (1971) Annals of Mathematical Statistics , vol.42 , pp. 1887-1896
    • Hampel, F.R.1
  • 17
    • 0012513834 scopus 로고
    • Delitteraria expeditone per pontificiam ditionem, et synopsis amplioris operis, ac habentur plura ejus ex exemplaria etiam sensorum impressa
    • Boscovich, R. J. 'Delitteraria expeditone per pontificiam ditionem, et synopsis amplioris operis, ac habentur plura ejus ex exemplaria etiam sensorum impressa', Bononiesi Sientiarum st Artum Institute Atque Academia Commentarii, 4, 353-396 (1757).
    • (1757) Bononiesi Sientiarum st Artum Institute Atque Academia Commentarii , vol.4 , pp. 353-396
    • Boscovich, R.J.1
  • 18
    • 0012925164 scopus 로고
    • On observations relating to several quantities
    • Edgeworth, F. Y. 'On observations relating to several quantities', Hermathena, 6, 279-285 (1887).
    • (1887) Hermathena , vol.6 , pp. 279-285
    • Edgeworth, F.Y.1
  • 19
    • 0041612548 scopus 로고
    • On a new method of reducing observations relating to several quantities
    • Edgeworth, F. Y. 'On a new method of reducing observations relating to several quantities', Philosophical Magazine, 25, 184-191 (1888).
    • (1888) Philosophical Magazine , vol.25 , pp. 184-191
    • Edgeworth, F.Y.1
  • 20
    • 0042397134 scopus 로고
    • ∞ estimation procedures
    • Dodge, Y. (ed), North-Holland, Amsterdam, Holland
    • 1-Norm and Related Methods, North-Holland, Amsterdam, Holland, 1987, pp. 37-64.
    • (1987) 1-Norm and Related Methods , pp. 37-64
    • Farebrother, R.W.1
  • 25
    • 0344238150 scopus 로고
    • AS132: Least absolute value estimates for a simple linear regression problem
    • Armstrong, R. D. and Kung, M. T. 'AS132: Least absolute value estimates for a simple linear regression problem', Applied Statistics, 27, 363-366 (1978).
    • (1978) Applied Statistics , vol.27 , pp. 363-366
    • Armstrong, R.D.1    Kung, M.T.2
  • 28
    • 0344238151 scopus 로고
    • Generalized network approaches for solving least absolute value and Tchebycheff regression problem
    • Klingman, D. and Mote, J. 'Generalized network approaches for solving least absolute value and Tchebycheff regression problem', TIMS Studies in Management Sciences, 19, 53-66 (1982).
    • (1982) TIMS Studies in Management Sciences , vol.19 , pp. 53-66
    • Klingman, D.1    Mote, J.2
  • 30
    • 0001741165 scopus 로고
    • Optimal estimation of executive compensation by linear programming
    • Charnes, A., Cooper, W. W. and Ferguson, R. D. 'Optimal estimation of executive compensation by linear programming', Management Science, 1, 138-151 (1955).
    • (1955) Management Science , vol.1 , pp. 138-151
    • Charnes, A.1    Cooper, W.W.2    Ferguson, R.D.3
  • 31
    • 84948485872 scopus 로고
    • A revised simplex algorithm for the absolute deviation curve fitting problem
    • Armstrong, R. D., Frome, E. and Kung, D. S. 'A revised simplex algorithm for the absolute deviation curve fitting problem', Communications in Statistics, B8, 175-190 (1979).
    • (1979) Communications in Statistics , vol.B8 , pp. 175-190
    • Armstrong, R.D.1    Frome, E.2    Kung, D.S.3
  • 32
    • 84952489019 scopus 로고
    • Technical Report No. 236, Mathematical Sciences Department, John Hopkins University, Baltimore, MD, USA
    • 1 sense', Technical Report No. 236, Mathematical Sciences Department, John Hopkins University, Baltimore, MD, USA, 1976.
    • (1976) 1 Sense
    • Bartels, R.H.1    Conn, A.R.2    Sinclair, J.W.3
  • 42
    • 0002672054 scopus 로고
    • IMSL, Houston, Texas
    • International Mathematical and Statistical Libraries, Inc. IMSL Library and Reference Manual, IMSL, Houston, Texas, 1980.
    • (1980) IMSL Library and Reference Manual
  • 44
    • 0002307657 scopus 로고
    • LAV (Least absolute value) estimation in the regression model: A review
    • Dielman, T. and Pfaffenberger, R. 'LAV (Least absolute value) estimation in the regression model: A review', TIMS Studies in the Management Sciences, 19, 31-52 (1982).
    • (1982) TIMS Studies in the Management Sciences , vol.19 , pp. 31-52
    • Dielman, T.1    Pfaffenberger, R.2
  • 45
    • 0002392043 scopus 로고
    • The minimum sum of absolute errors regression
    • Narula, S. C. 'The minimum sum of absolute errors regression', Journal of Quality Technology, 19, 37-45 (1987).
    • (1987) Journal of Quality Technology , vol.19 , pp. 37-45
    • Narula, S.C.1
  • 47
    • 0002383193 scopus 로고
    • Least absolute errors analysis of variance
    • Dodge, Y. (ed.), Elsevier Science Publishers, Amsterdam, Holland
    • 1-Norm and Related Methods, Elsevier Science Publishers, Amsterdam, Holland, 1987, pp. 297-305.
    • (1987) 1-Norm and Related Methods , pp. 297-305
    • McKean, J.W.1    Schrade, R.M.2
  • 53
    • 0018503877 scopus 로고
    • Selection of variables in linear regression using the minimum sum of weighted absolute errors criterion
    • Narula, S. C. and Wellington, J. F. 'Selection of variables in linear regression using the minimum sum of weighted absolute errors criterion', Technometrics, 21, 299-306 (1979).
    • (1979) Technometrics , vol.21 , pp. 299-306
    • Narula, S.C.1    Wellington, J.F.2
  • 54
    • 0038418953 scopus 로고
    • Variable selection in multiple linear regression using the minimum sum of weighted absolute errors criterion
    • Wellington, J. F. and Narula, S. C. 'Variable selection in multiple linear regression using the minimum sum of weighted absolute errors criterion', Communications in Statistics - Simulation and Computations, B10, 641-648 (1981).
    • (1981) Communications in Statistics - Simulation and Computations , vol.B10 , pp. 641-648
    • Wellington, J.F.1    Narula, S.C.2
  • 57
    • 38249037024 scopus 로고
    • Coefficient of determination for least absolute deviation analysis
    • McKean, J. W. and Sievers, G. L. 'Coefficient of determination for least absolute deviation analysis', Statistics and Probability Letters, 5, 49-54 (1987).
    • (1987) Statistics and Probability Letters , vol.5 , pp. 49-54
    • McKean, J.W.1    Sievers, G.L.2
  • 58
    • 21144473952 scopus 로고
    • Intervals which leave the minimum sum of absolute errors regression unchanged
    • Narula, S. C., Sposito, V. A. and Wellington, J. F. 'Intervals which leave the minimum sum of absolute errors regression unchanged', Applied Statistics, 42, 369-378 (1993).
    • (1993) Applied Statistics , vol.42 , pp. 369-378
    • Narula, S.C.1    Sposito, V.A.2    Wellington, J.F.3
  • 63
    • 0344669573 scopus 로고    scopus 로고
    • 1-statistical analysis and related methods
    • Institute of Mathematical Statistics, Hayward, California
    • 1-Statistical Analysis and Related Methods, Institute of Mathematical Statistics, Lecture Notes and Monograph Series, 31, Hayward, California, 1997.
    • (1997) Lecture Notes and Monograph Series , vol.31
    • Dodge, Y.1
  • 64
    • 0000270617 scopus 로고
    • The minimum sum of absolute errors regression: A state of the art survey
    • Narula, S. C. and Wellington, J. F. 'The minimum sum of absolute errors regression: A state of the art survey', International Statistical Review, 50, 317-326 (1982).
    • (1982) International Statistical Review , vol.50 , pp. 317-326
    • Narula, S.C.1    Wellington, J.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.