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Table 16 Evaluation results of the fit of Yule’s equation to the ranked frequency distribution of Polish phonemes (n=1) and n-phoneme sequences for n=2,…,5

From: Statistical analysis of orthographic and phonemic language corpus for word-based and phoneme-based Polish language modelling

n Yule’s equation R 2 RMSE
1 \(Y_{r} = \frac {0.095948}{r^{0.149}}\cdot 0.94^{r}\) 0.92198 6.7012·10−3
2 \(Y_{r} = \frac {0.020909}{r^{0.287}}\cdot 0.994^{r}\) 0.99532 1.3393·10−4
3 \(Y_{r} = \frac {0.0067353}{r^{0.35}}\cdot 0.9992^{r}\) 0.98932 2.2056·10−5
4 \(Y_{r} = \frac {0.0031449}{r^{0.35}}\cdot 0.9997^{r}\) 0.98510 5.5017·10−6
5 \(Y_{r} = \frac {0.0019385}{r^{0.33}}\cdot 0.9998^{r}\) 0.98028 2.6493·10−6