<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, a gray GM(1,1) model is used for modeling to realize the construction of differential equations and clustering of prediction errors into different state sets. Then the state transfer matrix is established based on the Markov chain, and the targeted prediction and correction are realized for the interval in which the relative values of the GM(1,1) model are located. For the sequence of random variables, the validity of the method is verified by using the “Marginality” test, and the prediction accuracy of the model is verified by using the residual, posterior difference and correlation tests for the gray prediction model. Finally, a Markov chain-based matching prediction method for traditional music and sports dance is proposed, the overall integration degree is measured, and its prediction matching and integration effects are analyzed. The overall integration degree of sports dance and traditional music was generally between 5.4-8, and the intensity matching coefficient of the common matching method was 100-120, while the intensity matching coefficient of the prediction method using the Markov chain model was 140-160. The actual effect of music-dance matching using the Markov chain model was good and beneficial to the integration of traditional music and sports dance.</p>
</abstract>

In this paper, a gray GM(1,1) model is used for modeling to realize the construction of differential equations and clustering of prediction errors into different state sets. Then the state transfer matrix is established based on the Markov chain, and the targeted prediction and correction are realized for the interval in which the relative values of the GM(1,1) model are located. For the sequence of random variables, the validity of the method is verified by using the “Marginality” test, and the prediction accuracy of the model is verified by using the residual, posterior difference and correlation tests for the gray prediction model. Finally, a Markov chain-based matching prediction method for traditional music and sports dance is proposed, the overall integration degree is measured, and its prediction matching and integration effects are analyzed. The overall integration degree of sports dance and traditional music was generally between 5.4-8, and the intensity matching coefficient of the common matching method was 100-120, while the intensity matching coefficient of the prediction method using the Markov chain model was 140-160. The actual effect of music-dance matching using the Markov chain model was good and beneficial to the integration of traditional music and sports dance.

Analysis of the fusion development of traditional music elements and sports dance based on Markov chain prediction model

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

In this paper, a gray GM(1,1) model is used for modeling to realize the construction of differential equations and clustering of prediction errors into...

Analysis of the fusion development of traditional music elements and sports dance based on Markov chain prediction model

Data publikacji: 11 paź 2023

Zakres stron: -

Otrzymano: 08 lis 2022

Przyjęty: 21 kwi 2023

DOI: https://doi.org/10.2478/amns.2023.2.00609

Słowa kluczowe
Markov chain, Gray prediction model, Correlation test, Convergence, Sports dance

© 2023 Xia Zhao, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Analysis of the fusion development of traditional music elements and sports dance based on Markov chain prediction model

Data publikacji: 11 paź 2023

Zakres stron: -

Otrzymano: 08 lis 2022

Przyjęty: 21 kwi 2023

DOI: https://doi.org/10.2478/amns.2023.2.00609

Słowa kluczoweMarkov chain, Gray prediction model, Correlation test, Convergence, Sports dance

© 2023 Xia Zhao, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Słowa kluczowe
Markov chain, Gray prediction model, Correlation test, Convergence, Sports dance