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Original Articles

Some theoretical results on approximation methodsFootnote1

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Pages 265-293 | Published online: 27 Jun 2007

References

  • Anderson , T.W. 1971 . The Statistical Analysis of Time Series , New York : J. Wiley .
  • Anselone , P.M. and Laurent , P.J. 1968 . A general method for the construction of interpolating or smoothing spline-functions . Numer. Math , 12 : 66 – 82 .
  • Day , N.E. 1969 . Estimating the components of a mixture of normal distributions . Biometrica , 56 : 463 – 474 .
  • De Boor , C. 1978 . A Practical Guide to Splines , New York : Springer-Yerlag .
  • Gasser , Th . 1979 . Smoothing Techniques for Curve Estimation. Proceedings , Edited by: Rosenblatt , M. New York : Springer-Verlag . Heidelberg
  • Greville , X.N.E. 1966 . On the Stability of linear smoothing formulas . SIAM, J. Numer. Anal , 3 : 157 – 170 .
  • Guest , P.G. 1961 . Numerical Methods of Curve Fitting , Cambridge : The University Press .
  • Hannan , E.J. 1979 . Multiple Time Series , New York : J. Wiley .
  • Henderson , R. 1938 . Mathematical Theory of Graduation , New York : Actuarial Soc. of America .
  • Humak , K.M.S. 1977 . Statistische Methoden der Modellbildung (I) , Berlin : Akademie-Verlag .
  • Kendall , M.G. and Stuart , A. 1966 . The Advanced Theory of Statistics , London : Ch. Griffin .
  • Lachenbruch , P.A. and Kupper , L.L. 1973 . Discriminant analysis when one population is a mixture of normals . Biom. Z , 15 : 191 – 197 .
  • Reinsch , C.H. 1967 . Smoothing by spline functions I . Numer. Math , 10 : 177 – 183 . Smoothing by spline functions II. Numer. Math. 16, 451-454
  • Schäffer , K.A. , ed. 1978 . Splinefunktionen in der Statistik , Gottingen : Vandenhoeck .
  • Schoenberg , I.J. , ed. 1969 . Approximations with Special Emphasis on Spline Functions , New York : Academic Pres .
  • Thiele , H. 1975 . Zur Glättung von Beobachtungsreihen mit Spline-Funktionen . Biom.Z , 17 : 415 – 430 .
  • Trench , W.F. 1973 . Strong discrete minimum variance estimation of a polynomial plus random noise . J. Math. Anal. Appl , 41 : 20 – 33 .
  • Tukey , J.W. 1977 . Exploratory Data Analysis , London : Addison-Wesley Publ. Comp .
  • Velleman , P.F. 1980 . Definition and comparison of robust nonlinear data smoothing algorithms . J. Amer. Statist. Assoc , 75 : 609 – 615 .
  • Wahba , G. and Wold , S. 1975 . A completely automatic french curve: Fitting spline functions by cross validation . Comm. Statist , 4 : 1 – 17 .
  • Whittaker , E.T. and Robinson , G. 1944 . The Calculus of Observations , Glasgow : Blackie and Sons .
  • Wold , S. 1974 . Spline functions in data analysis . Technometrics , 16 : 1 – 11 .

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