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Optimization of Parameters in the Menzerath–Altmann Law, II
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 53 (2014) no. 2, pp. 5-28 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The paper continues our studies released under the same title [Andres, J., Kubáček, L., Machalová, J., Tučková, M.: Optimization of parameters in the Menzerath–Altmann law Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 51, 1 (2012), 5–27.]. As the main result justifying the conclusions in [Andres, J., Kubáček, L., Machalová, J., Tučková, M.: Optimization of parameters in the Menzerath–Altmann law Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 51, 1 (2012), 5–27.], the theorem is presented enunciating that the English original of Poe’s celebrated poem Raven is a language fractal only w.r.t. the application of the simplest truncated formulas of the Menzerath–Altmann law, but not w.r.t. other applied formulas under our consideration. Moreover, the related degree of semanticity is calculated in these cases, including the naive intervals of such a degree. A suitability of the applied formulas is discussed from the point of view of a verbal version of the Menzerath–Altmann law (i.e. the tendency of the approximating functions is to be decreasing) and by means of quantitative criteria characterizing the accuracy of fitted data. Our discussion extends the traditional approaches to the Menzerath–Altmann law.
The paper continues our studies released under the same title [Andres, J., Kubáček, L., Machalová, J., Tučková, M.: Optimization of parameters in the Menzerath–Altmann law Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 51, 1 (2012), 5–27.]. As the main result justifying the conclusions in [Andres, J., Kubáček, L., Machalová, J., Tučková, M.: Optimization of parameters in the Menzerath–Altmann law Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 51, 1 (2012), 5–27.], the theorem is presented enunciating that the English original of Poe’s celebrated poem Raven is a language fractal only w.r.t. the application of the simplest truncated formulas of the Menzerath–Altmann law, but not w.r.t. other applied formulas under our consideration. Moreover, the related degree of semanticity is calculated in these cases, including the naive intervals of such a degree. A suitability of the applied formulas is discussed from the point of view of a verbal version of the Menzerath–Altmann law (i.e. the tendency of the approximating functions is to be decreasing) and by means of quantitative criteria characterizing the accuracy of fitted data. Our discussion extends the traditional approaches to the Menzerath–Altmann law.
Classification : 62F25, 62J05, 91F20
Keywords: Menzerath–Altmann law; fractal analysis; accuracy of data approximations; accuracy of shape parameter estimates; optimal usage of formulas 
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Andres, Jan; Benešová, Martina; Chvosteková, Martina; Fišerová, Eva. Optimization of Parameters in the Menzerath–Altmann Law, II. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 53 (2014) no. 2, pp. 5-28. http://geodesic.mathdoc.fr/item/AUPO_2014_53_2_a0/

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