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Volumn 76, Issue 11, 2006, Pages 1156-1163

Nonparametric estimation for quadratic regression

Author keywords

Distribution free regression; Least squares regression; Robust regression; Theil estimator

Indexed keywords


EID: 33645920003     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2005.12.022     Document Type: Article
Times cited : (8)

References (18)
  • 1
    • 0000387737 scopus 로고
    • Fitting a straight line when both variables are subject to error
    • Bartlett M.S. Fitting a straight line when both variables are subject to error. Biometrics 5 (1949) 207-212
    • (1949) Biometrics , vol.5 , pp. 207-212
    • Bartlett, M.S.1
  • 2
    • 33645905952 scopus 로고    scopus 로고
    • Brown, G.W., Mood, A.M., 1951. On median test for linear hypotheses. Proceedings of the Second Berkeley Symposium, pp. 159-166.
  • 3
    • 0031386919 scopus 로고    scopus 로고
    • Robust regression: a weighted least squares approach
    • Chatterjee S., and Machler M. Robust regression: a weighted least squares approach. Comm. Statist. Theory Methods 26 (1997) 1381-1394
    • (1997) Comm. Statist. Theory Methods , vol.26 , pp. 1381-1394
    • Chatterjee, S.1    Machler, M.2
  • 4
    • 0000104208 scopus 로고
    • Resistant lines for y versus x
    • Hoaglin D.C., Mosteller F., and Tukey J.W. (Eds), Wiley, New York
    • Emerson J.D., and Hoaglin D.C. Resistant lines for y versus x. In: Hoaglin D.C., Mosteller F., and Tukey J.W. (Eds). Understanding Robust and Exploratory Data Analysis (1983), Wiley, New York 129-165
    • (1983) Understanding Robust and Exploratory Data Analysis , pp. 129-165
    • Emerson, J.D.1    Hoaglin, D.C.2
  • 6
    • 84948269289 scopus 로고
    • Least absolute values estimates: an introduction
    • Gentle J.E. Least absolute values estimates: an introduction. Comm. Statist. Simulation Comput. 6 (1977) 313-328
    • (1977) Comm. Statist. Simulation Comput. , vol.6 , pp. 313-328
    • Gentle, J.E.1
  • 7
    • 0002500224 scopus 로고
    • Estimation in a multivariate "error-in-variables" regression model: large sample results
    • Gleser L.J. Estimation in a multivariate "error-in-variables" regression model: large sample results. Ann. of Statist. 9 (1981) 24-44
    • (1981) Ann. of Statist. , vol.9 , pp. 24-44
    • Gleser, L.J.1
  • 8
    • 0001340473 scopus 로고
    • A general qualitative definition of robustness
    • Hampel F.R. A general qualitative definition of robustness. Ann. Math. Statist. 42 (1971) 1887-1896
    • (1971) Ann. Math. Statist. , vol.42 , pp. 1887-1896
    • Hampel, F.R.1
  • 9
    • 0016571916 scopus 로고
    • Adaptive distribution-free regression methods and their applications
    • Hogg R.V., and Randles R.H. Adaptive distribution-free regression methods and their applications. Technometrics 17 (1975) 399-407
    • (1975) Technometrics , vol.17 , pp. 399-407
    • Hogg, R.V.1    Randles, R.H.2
  • 11
    • 33645946272 scopus 로고    scopus 로고
    • Kendall, M.G., Stuart, A., 1968. The Advanced Theory of Statistics, vol. 1. Hafner Publishing Company, New York.
  • 12
    • 33645901735 scopus 로고    scopus 로고
    • Mood, A.M., 1950. Introduction to the Theory of Statistics, McGraw-Hill, New York.
  • 13
    • 0009953862 scopus 로고
    • On a simple method of curve fitting
    • Nair K.L., and Shrivastava M.P. On a simple method of curve fitting. Sankhyā 6 (1942) 121-132
    • (1942) Sankhyā , vol.6 , pp. 121-132
    • Nair, K.L.1    Shrivastava, M.P.2
  • 15
    • 84947348224 scopus 로고
    • Estimates of the regression coefficient based on Kendall's tau
    • Sen P.K. Estimates of the regression coefficient based on Kendall's tau. J. Amer. Statist. Assoc. 63 (1968) 1379-1389
    • (1968) J. Amer. Statist. Assoc. , vol.63 , pp. 1379-1389
    • Sen, P.K.1
  • 16
    • 0000972131 scopus 로고
    • Robust regression using repeated medians
    • Siegel A.F. Robust regression using repeated medians. Biometrika 69 (1982) 242-244
    • (1982) Biometrika , vol.69 , pp. 242-244
    • Siegel, A.F.1
  • 17
    • 33645949962 scopus 로고    scopus 로고
    • Theil, H., 1950. A rank-invariant method of linear and polynomial regression analysis. I, II, III. Proceedings Nederlandse Akademie van Wetenschappen 53, 386-392, 521-525, 1397-1412.
  • 18
    • 0001294645 scopus 로고
    • The fitting of straight lines if both variables are subject to error
    • Wald A. The fitting of straight lines if both variables are subject to error. Ann. Math. Statist. 11 (1940) 284-300
    • (1940) Ann. Math. Statist. , vol.11 , pp. 284-300
    • Wald, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.