Prediction of the Time Distribution of Shannon and Renyi Entropy Based on the Theory of Moments
The application of the theory of moments to distributed generation systems for the construction of a reducing and predicting polynomial of the time distribution of entropy changes in time at the base interval is proposed. It is shown that in order to improve the accuracy of forecasting, it is neces...
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| Format: | Article |
| Language: | English |
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Igor Sikorsky Kyiv Polytechnic Institute
2025-02-01
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| Series: | Mìkrosistemi, Elektronìka ta Akustika |
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| Online Access: | https://elc.kpi.ua/article/view/320821 |
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| author | Iehor V. Sedliarov Kateryna Serhiivna Klen |
| author_facet | Iehor V. Sedliarov Kateryna Serhiivna Klen |
| author_sort | Iehor V. Sedliarov |
| collection | DOAJ |
| description |
The application of the theory of moments to distributed generation systems for the construction of a reducing and predicting polynomial of the time distribution of entropy changes in time at the base interval is proposed. It is shown that in order to improve the accuracy of forecasting, it is necessary to take into account the fractal nature of energy consumption processes and use Rényi entropy in calculations. By taking into account the fractal nature of the energy consumption process and the use of Rényi entropy in calculations, an increase in prediction accuracy by 11% is achieved, resulting in the prediction of the time distribution of Shannon's entropy for power consumption with an error not exceeding 23%.
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| format | Article |
| id | doaj-art-5f4768369c6747ee83c5bf1ba3f24f4c |
| institution | Kabale University |
| issn | 2523-4447 2523-4455 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Igor Sikorsky Kyiv Polytechnic Institute |
| record_format | Article |
| series | Mìkrosistemi, Elektronìka ta Akustika |
| spelling | doaj-art-5f4768369c6747ee83c5bf1ba3f24f4c2025-08-20T03:46:54ZengIgor Sikorsky Kyiv Polytechnic InstituteMìkrosistemi, Elektronìka ta Akustika2523-44472523-44552025-02-0130110.20535/2523-4455.mea.320821Prediction of the Time Distribution of Shannon and Renyi Entropy Based on the Theory of MomentsIehor V. Sedliarov0Kateryna Serhiivna Klen1National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” The application of the theory of moments to distributed generation systems for the construction of a reducing and predicting polynomial of the time distribution of entropy changes in time at the base interval is proposed. It is shown that in order to improve the accuracy of forecasting, it is necessary to take into account the fractal nature of energy consumption processes and use Rényi entropy in calculations. By taking into account the fractal nature of the energy consumption process and the use of Rényi entropy in calculations, an increase in prediction accuracy by 11% is achieved, resulting in the prediction of the time distribution of Shannon's entropy for power consumption with an error not exceeding 23%. https://elc.kpi.ua/article/view/320821distributed generation systemsShannon entropyRenyi entropyfractal dimension |
| spellingShingle | Iehor V. Sedliarov Kateryna Serhiivna Klen Prediction of the Time Distribution of Shannon and Renyi Entropy Based on the Theory of Moments Mìkrosistemi, Elektronìka ta Akustika distributed generation systems Shannon entropy Renyi entropy fractal dimension |
| title | Prediction of the Time Distribution of Shannon and Renyi Entropy Based on the Theory of Moments |
| title_full | Prediction of the Time Distribution of Shannon and Renyi Entropy Based on the Theory of Moments |
| title_fullStr | Prediction of the Time Distribution of Shannon and Renyi Entropy Based on the Theory of Moments |
| title_full_unstemmed | Prediction of the Time Distribution of Shannon and Renyi Entropy Based on the Theory of Moments |
| title_short | Prediction of the Time Distribution of Shannon and Renyi Entropy Based on the Theory of Moments |
| title_sort | prediction of the time distribution of shannon and renyi entropy based on the theory of moments |
| topic | distributed generation systems Shannon entropy Renyi entropy fractal dimension |
| url | https://elc.kpi.ua/article/view/320821 |
| work_keys_str_mv | AT iehorvsedliarov predictionofthetimedistributionofshannonandrenyientropybasedonthetheoryofmoments AT katerynaserhiivnaklen predictionofthetimedistributionofshannonandrenyientropybasedonthetheoryofmoments |