Geodesic
Optimization of parameters in the Menzerath–Altmann law
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 51 (2012) no. 1, pp. 5-27

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 33F05, 65D07, 65D15, 91F20
Keywords: Menzerath–Altmann’s law; accuracy of data approximations; accuracy of parameter estimates; mean square error; least square method; optimization; comparison 
@article{AUPO_2012__51_1_a0,
     author = {Andres, Jan and Kub\'a\v{c}ek, Lubom{\'\i}r and Machalov\'a, Jitka and Tu\v{c}kov\'a, Michaela},
     title = {Optimization of parameters in the {Menzerath{\textendash}Altmann} law},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
     pages = {5--27},
     publisher = {mathdoc},
     volume = {51},
     number = {1},
     year = {2012},
     mrnumber = {3060005},
     zbl = {06204917},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AUPO_2012__51_1_a0/}
}
TY  - JOUR
AU  - Andres, Jan
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
SP  - 5
EP  - 27
VL  - 51
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AUPO_2012__51_1_a0/
LA  - en
ID  - AUPO_2012__51_1_a0
ER  - 
%0 Journal Article
%A Andres, Jan
%A Kubáček, Lubomír
%A Machalová, Jitka
%A Tučková, Michaela
%T Optimization of parameters in the Menzerath–Altmann law
%J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
%D 2012
%P 5-27
%V 51
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AUPO_2012__51_1_a0/
%G en
%F AUPO_2012__51_1_a0
Andres, Jan; Kubáček, Lubomír; Machalová, Jitka; Tučková, Michaela. Optimization of parameters in the Menzerath–Altmann law. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 51 (2012) no. 1, pp. 5-27. http://geodesic.mathdoc.fr/item/AUPO_2012__51_1_a0/