Linear error propagation law and nonlinear functions

Lubomír Kubáček; Eva Tesaříková

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2010)

  • Volume: 49, Issue: 2, page 69-82
  • ISSN: 0231-9721

Abstract

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Linear error propagation law (LEPL) has been using frequently also for nonlinear functions. It can be adequate for an actual situation however it need not be so. It is useful to use some rule in order to recognize whether LEPL is admissible. The aim of the paper is to find such rule.

How to cite

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Kubáček, Lubomír, and Tesaříková, Eva. "Linear error propagation law and nonlinear functions." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 49.2 (2010): 69-82. <http://eudml.org/doc/116515>.

@article{Kubáček2010,
abstract = {Linear error propagation law (LEPL) has been using frequently also for nonlinear functions. It can be adequate for an actual situation however it need not be so. It is useful to use some rule in order to recognize whether LEPL is admissible. The aim of the paper is to find such rule.},
author = {Kubáček, Lubomír, Tesaříková, Eva},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Linear error propagation law; bias; nonlinear function; linear error propagation law; bias; nonlinear function},
language = {eng},
number = {2},
pages = {69-82},
publisher = {Palacký University Olomouc},
title = {Linear error propagation law and nonlinear functions},
url = {http://eudml.org/doc/116515},
volume = {49},
year = {2010},
}

TY - JOUR
AU - Kubáček, Lubomír
AU - Tesaříková, Eva
TI - Linear error propagation law and nonlinear functions
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2010
PB - Palacký University Olomouc
VL - 49
IS - 2
SP - 69
EP - 82
AB - Linear error propagation law (LEPL) has been using frequently also for nonlinear functions. It can be adequate for an actual situation however it need not be so. It is useful to use some rule in order to recognize whether LEPL is admissible. The aim of the paper is to find such rule.
LA - eng
KW - Linear error propagation law; bias; nonlinear function; linear error propagation law; bias; nonlinear function
UR - http://eudml.org/doc/116515
ER -

References

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  1. Bates, D. M., Watts, D. G., Relative curvature measures of nonlinearity, J. Roy. Stat. Soc. B 42 (1980), 1–25. (1980) Zbl0455.62028MR0567196
  2. Kubáčková, L., Foundations of Estimation Theory, Elsevier, Amsterdam–Oxford–New York–Tokyo, 1988. (1988) 
  3. Kubáček, L., Nonlinear error propagation law, Applications of Mathematics 41 (1996), 329–345. (1996) MR1404545
  4. Kubáček, L., Tesaříková, E., Weakly Nonlinear Regression Models, Vyd. Univerzity Palackého, Olomouc, 2008. (2008) 
  5. Rao, C. R., Mitra, S. K., Generalized Inverse of Matrices and its Applications, Wiley, New York–London–Sydney–Toronto, 1971. (1971) Zbl0236.15005MR0338013
  6. Scheffé, H., The Analysis of Variance, Wiley, New York–London–Sydney, 1967, (fifth printing). (1967) MR1673563
  7. Tesaříková, E., Kubáček, L., Linear error propagation law and nonlinear function, Department of algebra and geometry, Faculty of Science, Palacký University, Olomouc, 2010, (demoprogram). (2010) MR2796948

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