A Family of Splines for Non-Parametric Regression. and their Relationships with Kriging

References

• Anselone , P. M and Latjbent , P. J . 1968 . A general Method for the Construction of Interpolating or Smoothing Spline functions . Numer, Math , 12 : 66 – 82 .
   Web of Science ®Google Scholar
• Deny , J. and Lions , J. L . 1954 . Les espaces du type de Beppo Levi . Ann. Inst. Fourier, Grenoble , 5 : 305 – 370 .
   Google Scholar
• Dtjbbtjle , O. 1983 . Two Methods with Different Objectives: Splines and Kriging . Journal of the International Association for Mathematical Geology , 15 : 245 – 257 .
   Google Scholar
• Kimeldobf , G. and Wahba , G. 1970 . A Correspondence between Bayesian Estima¬tion on Stochastic Processes and Smoothing by Splines . Ann. Math. Statist , 41 : 495 – 502 .
   Google Scholar
• Kimeldobf , G. and Wahba , G. 1970 . Spline Functions and Stochastic Processes . Sankhya, Ser. A , 32 : 173 – 180 .
   Google Scholar
• Kimeldobf , G. and Wahba , G. 1971 . Some Results on Tehebicheffian Spline Func¬tions . J. Math, Anal, Appl , 83 : 82 – 95 .
   Web of Science ®Google Scholar
• Matheron , G. 1973 . The Intrinsic Random functions and their Applications . Adv Appl Prob , 5 : 439 – 468 .
   Google Scholar
• Mathebon , G. 1981 . Splines and Kriging their: formal equivalence. In: Syracuse University Geology Contribution B , Depart, of Geology : D. F, MEBBIAM .
   Google Scholar
• Meingtjet , J. 1979 . An Intrinsic Approach to Multivariate Spline Interpolation at arbitrary points. In: Polynomial and Spline Approximation, NATO Advances Study Institute Series, Ser. C , 163 – 190 . SAHNEY : BADBI .
   Google Scholar
• Pabzen , E. 1961 . An approach to time series analysis . Ann. Math. Statist , 32 : 951
   Google Scholar
• Salkauskas , K. 1982 . Some Relationships between Surface Splines and Kriging . Multivariate Approximation Theory II, International Series of Numerical Mahematics , 61
   Google Scholar
• Schwartz , L. 1966 . Theorie des distributions , Paris : Hermann .
   Google Scholar
• Thomas-agnan , C. 1987 . Statistical Curve fitting by fourier Techniques , University of California in Los Angeles .
   Google Scholar
• Thomas-agnan , C. 1990 . Smoothing Periodic curves by a Method of Regularization . Siam Journal on Scientific and Statistical Computing , 3 : 482 – 502 .
   Web of Science ®Google Scholar
• Wahba , G. 1978 . Improprer Priors, Spline Smoothing and a Problem of Guarding against Models Errors in Regressions . JESS B , 3 : 634 – 372 .
   Google Scholar
• Wahba , G. and WENDELBERGER , J. 1980 . Some New Mathematical Methods for Variational Objective analysis using splines and Cross Validation . Monthly Weather Review , 108 : 1122 – 1142 .
   Web of Science ®Google Scholar
• Watson , G.S. 1983 . Smoothing and Interpolation by Kriging and with Splines , Princeton Univ : Technical Report .
   Google Scholar