| Title:
|
Optimization of parameters in the Menzerath–Altmann law (English) |
| Author:
|
Andres, Jan |
| Author:
|
Kubáček, Lubomír |
| Author:
|
Machalová, Jitka |
| Author:
|
Tučková, Michaela |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
51 |
| Issue:
|
1 |
| Year:
|
2012 |
| Pages:
|
5-27 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Menzerath–Altmann’s law |
| Keyword:
|
accuracy of data approximations |
| Keyword:
|
accuracy of parameter estimates |
| Keyword:
|
mean square error |
| Keyword:
|
least square method |
| Keyword:
|
optimization |
| Keyword:
|
comparison |
| MSC:
|
33F05 |
| MSC:
|
65D07 |
| MSC:
|
65D15 |
| MSC:
|
91F20 |
| idZBL:
|
Zbl 06204917 |
| idMR:
|
MR3060005 |
| . |
| Date available:
|
2012-06-25T08:19:33Z |
| Last updated:
|
2014-03-12 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142870 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Andres, J.: On de Saussure’s principle of linearity and visualization of language structures. Glottotheory 2, 2, (2009), 1–14. |
| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
[7] Fišerová, E., Kubáček, L., Kunderová, P.: Linear Statistical Models. Regularity and Singularities. Academia, Prague, 2007. |
| Reference:
|
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| Reference:
|
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| Reference:
|
[10] Hřebíček, L.: Text in Semantics. The Principle of Compositeness. Oriental Institute of the Academy of Sciences of the Czech Republic, Prague, 2007. |
| Reference:
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[11] Köhler, R.: Das Menzerathsche Gesetz auf Satzebene. Glottometrika 4 (1982), 103–113. |
| Reference:
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[12] Köhler, R.: Zur Interpretation des Menzerathschen Gesetzes. Glottometrika 6 (1984), 177–183. |
| Reference:
|
[13] Köhler, R., Schwibbe, M. H.: Das Menzerathsche Gesetz als Resultat des SprachverarbeitungsmechanismusDas Menzerathsche Gesetz in informations – verarbeitenden Systemen. In: Altmann, G. und Schwibbe, M. H. (eds.): Das Menzerathsche Gesetz in informations – verarbeitenden Systemen Olms, Hildesheim, 1989, 108–116. |
| Reference:
|
[14] Kubáček, L., Kubáčková, L.: Statistics and Metrology. Palacký University, Olomouc, 2000, (in Czech). |
| Reference:
|
[15] Kulacka, A.: The coefficients in the formula for the Menzerath–Altmann law. Journal of Quantitative Linguistics 17, 4, (2010), 257–268. 10.1080/09296174.2010.512160 |
| Reference:
|
[16] Kulacka, A., Mačutek, J.: A discrete formula for the Menzerath–Altmann law. Journal of Quantitative Linguistics 14, 1 (2007), 23–32. 10.1080/09296170600850585 |
| Reference:
|
[17] Pázman, A: Foundations of Optimum Experimental Design. D. Reidel, Dordrecht, 1986. Zbl 0588.62117, MR 0838958 |
| Reference:
|
[18] Prün, C.: Validity of Menzerath-Altmann’s law: graphic representation of language, information processing systems and synergetic linguistics. Journal of Quantitative Linguistics 1, 2 (1994), 148–155. 10.1080/09296179408590009 |
| Reference:
|
[19] Tučková, M: Optimal Design of Regression Experiments. Diploma Thesis, Palacký University, Olomouc, 2010 (in Czech). |
| Reference:
|
[20] Wimmer, G., Altmann, G.: Unified derivation of some linguistic laws.. In: Köhler, R., Altmann, G., Piotrowski, R. G.: Quantitative Linquistics. An International Handbook. De Gruyter, Berlin, 2005, 791–807. |
| Reference:
|
[21] Wimmer, G., Altmann, G., Hřebíček, L., Ondrejovič, S., Wimmerová, S.: Introduction to the Analysis of Texts. Veda, Bratislava, 2003, (in Slovak). |
| . |
