Optimization of parameters in the Menzerath–Altmann law

Ján Andres; Lubomír Kubáček; Jitka Machalová; Michaela Tučková

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2012)

  • Volume: 51, Issue: 1, page 5-27
  • ISSN: 0231-9721

Abstract

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Four formulas of the Menzerath–Altmann law are tested from the point of view of their applicability and suitability. The accuracy of related approximations of measured data is examined by the least square method at first. Then the accuracy of calculated parameters in the formulas under consideration is compared statistically. The influence of neglecting parameter c is investigated as well. Finally, the obtained results are discussed by means of an illustrative example from quantitative linguistics.

How to cite

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Andres, Ján, et al. "Optimization of parameters in the Menzerath–Altmann law." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 51.1 (2012): 5-27. <http://eudml.org/doc/247196>.

@article{Andres2012,
abstract = {Four formulas of the Menzerath–Altmann law are tested from the point of view of their applicability and suitability. The accuracy of related approximations of measured data is examined by the least square method at first. Then the accuracy of calculated parameters in the formulas under consideration is compared statistically. The influence of neglecting parameter $c$ is investigated as well. Finally, the obtained results are discussed by means of an illustrative example from quantitative linguistics.},
author = {Andres, Ján, Kubáček, Lubomír, Machalová, Jitka, Tučková, Michaela},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Menzerath–Altmann’s law; accuracy of data approximations; accuracy of parameter estimates; mean square error; least square method; optimization; comparison; Menzerath-Altmann's law; accuracy of data approximations; accuracy of parameter estimates; mean square error; least square method; optimization; linguistics},
language = {eng},
number = {1},
pages = {5-27},
publisher = {Palacký University Olomouc},
title = {Optimization of parameters in the Menzerath–Altmann law},
url = {http://eudml.org/doc/247196},
volume = {51},
year = {2012},
}

TY - JOUR
AU - Andres, Ján
AU - Kubáček, Lubomír
AU - Machalová, Jitka
AU - Tučková, Michaela
TI - Optimization of parameters in the Menzerath–Altmann law
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2012
PB - Palacký University Olomouc
VL - 51
IS - 1
SP - 5
EP - 27
AB - Four formulas of the Menzerath–Altmann law are tested from the point of view of their applicability and suitability. The accuracy of related approximations of measured data is examined by the least square method at first. Then the accuracy of calculated parameters in the formulas under consideration is compared statistically. The influence of neglecting parameter $c$ is investigated as well. Finally, the obtained results are discussed by means of an illustrative example from quantitative linguistics.
LA - eng
KW - Menzerath–Altmann’s law; accuracy of data approximations; accuracy of parameter estimates; mean square error; least square method; optimization; comparison; Menzerath-Altmann's law; accuracy of data approximations; accuracy of parameter estimates; mean square error; least square method; optimization; linguistics
UR - http://eudml.org/doc/247196
ER -

References

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  19. Tučková, M, Optimal Design of Regression Experiments, Diploma Thesis, Palacký University, Olomouc, 2010 (in Czech). (2010) 
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