Abstract

In order to improve the prediction accuracy of mining safety production situation and remove the difficulty of model selection for nonstationary time series, a grey (GM) autoregressive moving average (ARMA) model based on the empirical mode decomposition (EMD) is proposed. First of all, according to the nonstationary characteristics of the mining safety accident time series, nonstationary original time series were decomposed into high- and low-frequency signals using the EMD algorithm, which represents the overall trend and random disturbances, respectively. Subsequently, the GM model was used to predict high-frequency signal sequence, while the ARMA model was used to predict low-frequency signal sequence. Finally, aiming to predict the mining safety production situation, the EMD-GM-ARMA model was constructed via superimposing the prediction results of each subsequence, thereby compared to the ARIMA model, wavelet neural network model, and PSO-SVM model. The results demonstrated that the EMD-GM-ARMA model and the PSO-SVM model hold the highest prediction accuracy in the short-term prediction, and the wavelet neural network has the lowest prediction accuracy. The PSO-SVM model’s prediction accuracy decreases in medium- and long-term predictions while the EMD-GM-ARMA model still can maintain high prediction accuracy. Moreover, the relative error fluctuations of the EMD-GM-ARMA model are relatively stable in both short-term and medium-term predictions. This shows that the EMD-GM-ARMA model can provide high-precision predictions with high stability, proving the model to be feasible and effective in predicting the mining safety production situation.

Highlights

  • Mining is an important industry for the nation’s economy, supporting the rapid development of society

  • Conclusions is paper presents an empirical mode decomposition (EMD)-GM-autoregressive moving average (ARMA) model used for the prediction of mining safety production situation

  • By introducing the EMD algorithm of signal processing into the prediction of mining safety accident time series, the mining safety production situation time series is effectively decomposed into corresponding low-frequency fluctuation characteristic sequences and high-frequency trend sequences. at is, the smooth detailed sequence intrinsic mode function (IMF) components and the RES component of the overall change trend sequence explore the characteristics of the original sequence via studying the sequence of each component

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Summary

Introduction

Mining is an important industry for the nation’s economy, supporting the rapid development of society. Rough the EMD, the time series of mining safety production situation is decomposed into several stationary component sequences, and the characteristics of the original sequence are revealed by studying these components. According to the characteristics of each component, the GM model is used to predict the trend sequence, and the ARMA model is used to predict the smooth detail sequence, and the EMD-GMARMA model is established to predict the future development trend of mining safety production. 2. Establishment of the EMD-GM-ARMA Model e time series of mining safety production situation shows a stochastic process with nonstationary characteristic, which makes it difficult to accurately identify its distribution law. E original mining safety production situation time series is decomposed into several IMF component sequences and one residual term sequence by the EMD method. E original mining safety production situation time series is decomposed into several IMF component sequences and one residual term sequence by the EMD method. e IMF component Cj(t) is predicted by the GM model, and the residual rn(t) is predicted by the ARMA model [34]. e prediction results of the original sequence are used to establish the EMD-GM-ARMA model, which results from the superposition of the component prediction result

Application of the EMD-GM-ARMA Model
Verification of the EMD-GM-ARMA Model
Discussion and Future
Evaluation index MAE MRE RMSE
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