Multiresponse spline regression

Computational Statistics and Data Analysis

Volumn 22, Issue 6, 1996, Pages 619-631

  Soo, Yuh Wen ^a   Bates, Douglas M ^b  

^a JANSSEN RESEARCH AND DEVELOPMENT   (United States)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

"Loose coupling" structure; Free knot splines; Generalized Gauss Newton algorithm; Multiresponse regression

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; MATHEMATICAL MODELS; MATRIX ALGEBRA; PARAMETER ESTIMATION;

FREE KNOT SPLINES; GENERALIZED GAUSS-NEWTON ALGORITHM; MULTISPLINE SPLINE REGRESSION;

REGRESSION ANALYSIS;

REGRESSION; SPLINE COEFFICIENT;

EID: 0030265480     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-9473(96)00014-X     Document Type: Article

References (16)

1. Anderson, E., Z. Bai, C. Bischof, J. Demmel, J. Dongarra, J. DuCroz, A. Greenbaum, S. Hammarling, A. McKenney, S. Ostrouchov and D. Sorensen, LAPACK Users' Guide (SIAM, Philadelphia, 1992).
2. Bates, D.M. and D.G. Watts, A relative offset orthogonality criterion for nonlinear least squares. Technometrics, 23 (1981) 178-183.
3. Bates, D.M. and D.G. Watts, Multiresponse estimation with special application to linear systems of differential equations (with discussion), Technometrics, 27 (1985) 329-360.
4. Bates, D.M. and D.G. Watts, A generalized Gauss-Newton procedure for multi-response parameter estimation, SIAM J. Scientific and Statistical Comput., 7(1) (1987) 49-55.
5. Bates, D.M. and D.G. Watts, Nonlinear regression analysis and its applications (Wiley, New York, 1988).
6. Box, G.E.P. and N.R. Draper, The Bayesian estimation of common parameters from several responses, Biometrika, 52 (1965) 355-365.
7. Box, G.E.P. and G.C. Tiao, Bayesian inference in statistical analysis (Addison-Wesley, Reading, MA, 1973).
8. de Boor, C., A practical guide to splines, (Applied Mathematical Science No. 27) (Springer, New York, 1978).
9. Dennis, Jr. J.E. and R.B. Schnabel, Numerical methods for unconstrained optimization and nonlinear equations (Prentice-Hall, Englewood Cliffs, NJ 1983).
10. Dongarra, J.J., J.R. Bunch, C.B. Moler and G.W. Stewart, Linpack Users' Guide (SIAM, Philadelphia, 1979).
11. Friedman, J.H. and B.W. Silverman, Flexible parsimonious smoothing and additive modeling (with discussion), Technometrics, 31 (1989) 3-39.
12. Gill, P.E., W. Murray and M.H. Wright, Practical optimization (Academic Press, New York, 1981).
13. Jupp, D.L.B., Approximation to data by spline with free knots, SIAM J. Numer. Anal., 15 (1978) 328-343.
14. Kang, G., Topics in multiresponse regression analysis, Unpublished Ph.D. Thesis (University of Wisconsin, Madison, 1989).
15. Soo, Y.W., Spline-based regression for nonlinear models with multiple responses, Unpublished Ph.D. Thesis (University of Wisconsin, Madison, 1991).
16. Soo, Y.W. and D.M. Bates, Loosely coupled nonlinear least squares, Comput. Statist. Data Anal., 14 (1992) 249-259.