Confidence regions in nonlinear models with constraints
Kubáček, Lubomír ; Tesaříková, Eva
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 42 (2003), p. 43-58 / Harvested from Czech Digital Mathematics Library
Publié le : 2003-01-01
Classification:  62F25,  62F30,  62H12,  62J02
@article{120464,
     author = {Lubom\'\i r Kub\'a\v cek and Eva Tesa\v r\'\i kov\'a},
     title = {Confidence regions in nonlinear models with constraints},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
     volume = {42},
     year = {2003},
     pages = {43-58},
     zbl = {1046.62065},
     mrnumber = {2056021},
     language = {en},
     url = {http://dml.mathdoc.fr/item/120464}
}
Kubáček, Lubomír; Tesaříková, Eva. Confidence regions in nonlinear models with constraints. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 42 (2003) pp. 43-58. http://gdmltest.u-ga.fr/item/120464/

Bates D. M.; Watts D. G. Relative curvatures measures of nonlinearity, J. Roy. Statist. Soc. B 42 (1980), 1-25. (1980) | MR 0567196

Imhof J. P. Computing the distribution of quadratic forms in normal variables, Biometrika 48 (1961), 419-426. (1961) | MR 0137199 | Zbl 0136.41103

Kubáček L.; Kubáčková L. Regression models with a weak nonlinearity, Technical report Nr. 1998.1, Universität Stuttgart, 1998, 1-67. (1998)

Kubáček L.; Kubáčková L. Statistics and Metrology, Vyd. Univ. Palackého, Olomouc, 2000 (in Czech).

Kubáček L.; Tesaříková E. Weakly nonlinear constraints in regression models, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 41 (2002), 67-81. | MR 1967341

Rao C. R.; Mitra S. K. Generalized Inverse of the Matrix and Its Applications, J. Wiley, New York, 1971. (1971) | MR 0338013

Scheffé H. The Analysis of Variance, J. Wiley, New York, 1959. (1959) | MR 0116429

Tesaříková E.; Kubáček L. Properties of estimators in models with constraints of the type I (demoprogram), Department of Algebra and Geometry, Faculty of Science, Palacký University, Olomouc, 2001.

Tesaříková E.; Kubáček L. Boundaries of parameters in models with constraints of the type I (demoprogram), Department of Algebra and Geometry, Faculty of Science, Palacký University, Olomouc, 2002.