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Original Articles

Some new model selection criteria in simple regression

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Pages 137-149 | Received 03 Oct 1991, Published online: 02 Nov 2010

References

  • Ahlberg , J.H. , Nilson , E.N. and Walsh , J.L. 1967 . The Theory of Splines and Their Applications , New York : Academic Press .
  • Akaike , H. Information theory and an extension of the maximum likelihood principle . 2nd International Symposium on Information Theory . Edited by: Petrov , B.N. and Csaki , F. pp. 267 – 281 . Budapest : Akademia Kiado .
  • Akaike , H. 1978 . A Bayesian Analysis of the Minimum ACI Procedure . Annals of the Institute of Statistical Mathematics , 30 : 9 – 14 . Ser. A
  • Craven , P. and Wahba , G. 1979 . Smoothing noisy data with spline functions: estimating the correct degree of smoothing by the method of generalized cross-validation . Numerische Mathematick , 31 : 377 – 403 .
  • Draper , N.R. and Smith , H. 1981 . Applied Regression Analysis , New York : Wiley .
  • Durbin , J. and Watson , G.S. 1951 . Testing for serial correlation in least squares regression. II . Biometrika , 38 : 159 – 178 .
  • Efron , B. 1979 . Bootstrap methods: another look at the jackknife . The Annals of Statistics , 7 : 1 – 26 .
  • Geary , R.C. 1970 . Relative efficiency of count of sign changes for assessing residual autoregression in least squares regression . Biometrika , 57 : 123 – 127 .
  • Golub , G. , Heath , M. and Wahba , G. 1979 . Generalized cross-validation as a method for choosing a good ridge parameter . Technometrics , 21 : 215 – 224 .
  • Linhart , H. and Zucchini , W. 1986 . Model Selection , New York : Wiley .
  • Munson , P.J. and Jernigan , R.W. 1989 . A cubic spline extension of the Durbin-Watson test . Biometrika , 76 : 39 – 47 .
  • Schwarz , G. 1978 . Estimating the dimension of a model . The Annals of Statistics , 6 : 461 – 464 .
  • Von Neumann , J. 1941 . Distribution of the ratio of the mean square successive difference to the variance . Annals of Mathematical Statistics , 12 : 367 – 395 .
  • Wahba , G. How to smooth curves and surfaces with splines and cross-validation . Proceedings of the 24th Conference on the Design of Experiments . U.S. Army Research Office . Report 79-2
  • Wahba , G. and Wold , S. 1975 . A completely automatic French curve: fitting spline function by cross-validation . Communications in Statistics , 4 : 1 – 17 .
  • Wald , A. and Wolfowitz , J. 1940 . On a test whether two samples are from the same population . Annals of Mathematical Statistics , 11 : 147 – 162 .
  • Watson , G.S. 1984 . Smoothing and interpolating by kriging and with splines . Mathematical Geology , 16 : 601 – 615 .
  • Wegman , E.J. and Wright , I.W. 1983 . Splines in Statistics . Journal of the American Statistical Association , 78 : 351 – 365 .
  • Weisberg , S. 1985 . Applied Linear Regression , New York : John Wiley .
  • Wold , S. 1974 . Spline functions in data analysis . Technometrics , 16 : 1 – 11 .

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