## 3 Results
Specifically, Table 4b lists the model parameters along with their probabilities of being the best fit. Since all p-values are below 5%, this confirms the statistical significance of the parameters. Figure 7: (**a**) Comparison of LSTM-WM04 model result with observed wind of Bodo station. (**b**) Comparison of SARIMA (0,0,0)(8,1,0)\({}_{12}\) (MR1) model result with observed wind of Bodo station. Additionally, Table 4c displays the asymptotic correlation matrix for the selected model parameters, further supporting the robustness of the chosen model. Figure 8a depicts the residuals' ACF and PACF, revealing no significant lags and suggesting that the residuals behave as white noise. Figure 8b illustrates the variation of these residuals, indicating independence. Additionally, the Ljung-Box test was conducted up to fifty lags, achieving probabilities exceeding 5%, which confirms that the residuals are uncorrelated and independent and validates that the selected model is an appropriate model. A Taylor diagram was used to compare the most successful methods within their respective categories among all the methods analyzed (Figure 9). According to the results, the LSTM-WM04 model is the closest to the observed values compared to other models. Additionally, as shown in Table 3, this model achieves the best performance metrics among all algorithms and models. The consistency between the results obtained from these two different evaluation methods further reinforces the reliability of the findings. \begin{table}
\begin{tabular}{c c c c c} \hline \hline  & \multicolumn{4}{c}{**(a)**} \\ \hline
**Model** & **AIC** & **BIC** & **Log Likelihood** \\ \hline SARIMA (0,0,0)(8,1,0)\({}_{12}\) (MR1) & 992.5600 & 1026.3410 & \(-\)488.2800 \\ \hline SARIMA (1,1,1)(6,1,0)\({}_{12}\) (MR2) & 1039.2921 & 1073.0730 & \(-\)511.6460 \\ \hline SARIMA (6,1,0)(8,1,0)\({}_{12}\) (MR3) & 1057.2203 & 1116.3360 & \(-\)514.6102 \\ \hline \hline  & \multicolumn{4}{c}{**(b)**} \\ \hline \hline
**Model Estimation Section** & & & \\ \hline SAR (1) & \(-\)0.8007 & 0.0446 & \(-\)17.9386 & 0.0000 \\ \hline SAR (2) & \(-\)0.7161 & 0.0543 & \(-\)13.1831 & 0.0000 \\  
The Violin diagram, a method used to compare performance metrics between models, is also employed in this analysis. The results from this diagram, shown in Figure 10, indicate that the LSTM-WM04 model closely exhibits the observation values in shape. The results from this model show the most accurate representation of the extreme values found in the observation data. Moreover, the mean and median values of the LSTM-WM04 models are closely aligned with the observed values while the kernel density as well as the 1 st and 3 rd quartiles also show strong agreement with the observation values. The SVM-WM05 model exhibits a similar performance, closely following the observation values. Overall, the findings from the Violin diagram are consistent with the statistical results, reinforcing the robustness of the analysis. The Ridge chart was also used to compare the performance of models (Figure 11). In this chart, the most successful models within their respective categories are compared against each other. Based on the results of the Ridge chart analysis, the LSTM-WM04 model demonstrates the highest similarity to the observed values, particularly in terms of peak alignment. The peaks of this model closely correspond to those of the observed values, indicating strong agreement. In contrast, the SVM-M04 and ANN-WM01 models exhibit shapes that are noticeably different from the observed values, suggesting lower performance in capturing the observed patterns. Figure 8: (a) ACF and PACF of residuals. (b) Variation of residual plot of SARIMA (0,0,0)(8,1,0)\({}_{12}\) model wind data at Bodo station. Figure 10: The results of the best models in Violin diagram where _LSTM-WM02_ analysis of LSTM with WT for M04, _SVM-WM05_ analysis of SVM with WT for M05, etc. Figure 9: The results of the best models in Taylor diagram where _LSTM-WM02_ analysis of LSTM with WT for M04, _SVM-WM05_ analysis of SVM with WT for M05, etc.