Tests in weakly nonlinear regression model
Lubomír Kubáček; Eva Tesaříková
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2005)
- Volume: 44, Issue: 1, page 49-55
- ISSN: 0231-9721
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topKubáček, Lubomír, and Tesaříková, Eva. "Tests in weakly nonlinear regression model." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 44.1 (2005): 49-55. <http://eudml.org/doc/32450>.
@article{Kubáček2005,
abstract = {In weakly nonlinear regression model a weakly nonlinear hypothesis can be tested by linear methods if an information on actual values of model parameters is at our disposal and some condition is satisfied. In other words we must know that unknown parameters are with sufficiently high probability in so called linearization region. The aim of the paper is to determine this region.},
author = {Kubáček, Lubomír, Tesaříková, Eva},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {regression model; nonlinear hypothesis; linearization},
language = {eng},
number = {1},
pages = {49-55},
publisher = {Palacký University Olomouc},
title = {Tests in weakly nonlinear regression model},
url = {http://eudml.org/doc/32450},
volume = {44},
year = {2005},
}
TY - JOUR
AU - Kubáček, Lubomír
AU - Tesaříková, Eva
TI - Tests in weakly nonlinear regression model
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2005
PB - Palacký University Olomouc
VL - 44
IS - 1
SP - 49
EP - 55
AB - In weakly nonlinear regression model a weakly nonlinear hypothesis can be tested by linear methods if an information on actual values of model parameters is at our disposal and some condition is satisfied. In other words we must know that unknown parameters are with sufficiently high probability in so called linearization region. The aim of the paper is to determine this region.
LA - eng
KW - regression model; nonlinear hypothesis; linearization
UR - http://eudml.org/doc/32450
ER -
References
top- 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, Metrology., Vyd. Univ. Palackého, Olomouc, , 2000 (in Czech).
- Kubáček L., Kubáčková L., Statistical problems of a determination of isobestic points, Folia Fac. Sci. Nat. Univ. Masarykianae Brunensis, Math. 11 (2002), 139–150. Zbl1046.62067MR1994204
- Rao C. R.: Linear Statistical Inference, its Application., J. Wiley, New York–London–Sydney, , 1965. (1965) MR0221616
- Tesaříková E., Kubáček L., A test in nonlinear regression models. Demoprogram, Department of Algebra and Geometry, Faculta of Science, Palacký University, Olomouc, 2004 (in Czech).
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