Confidence regions in nonlinear models with constraints

Lubomír Kubáček; Eva Tesaříková

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2003)

  • Volume: 42, Issue: 1, page 43-58
  • ISSN: 0231-9721

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Kubáček, Lubomír, and Tesaříková, Eva. "Confidence regions in nonlinear models with constraints." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 42.1 (2003): 43-58. <http://eudml.org/doc/23743>.

@article{Kubáček2003,
author = {Kubáček, Lubomír, Tesaříková, Eva},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {measures of nonlinearity},
language = {eng},
number = {1},
pages = {43-58},
publisher = {Palacký University Olomouc},
title = {Confidence regions in nonlinear models with constraints},
url = {http://eudml.org/doc/23743},
volume = {42},
year = {2003},
}

TY - JOUR
AU - Kubáček, Lubomír
AU - Tesaříková, Eva
TI - Confidence regions in nonlinear models with constraints
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2003
PB - Palacký University Olomouc
VL - 42
IS - 1
SP - 43
EP - 58
LA - eng
KW - measures of nonlinearity
UR - http://eudml.org/doc/23743
ER -

References

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  1. Bates D. M., Watts D. G., Relative curvatures measures of nonlinearity, J. Roy. Statist. Soc. B 42 (1980), 1-25. (1980) MR0567196
  2. Imhof J. P., Computing the distribution of quadratic forms in normal variables, Biometrika 48 (1961), 419-426. (1961) Zbl0136.41103MR0137199
  3. Kubáček L., Kubáčková L., Regression models with a weak nonlinearity, Technical report Nr. 1998.1, Universität Stuttgart, 1998, 1-67. (1998) 
  4. Kubáček L., Kubáčková L., Statistics and Metrology, Vyd. Univ. Palackého, Olomouc, 2000 (in Czech). 
  5. Kubáček L., Tesaříková E., Weakly nonlinear constraints in regression models, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 41 (2002), 67-81. MR1967341
  6. Rao C. R., Mitra S. K., Generalized Inverse of the Matrix and Its Applications, J. Wiley, New York, 1971. (1971) MR0338013
  7. Scheffé H., The Analysis of Variance, J. Wiley, New York, 1959. (1959) MR0116429
  8. 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. 
  9. 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. 

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