Improvement towards Prediction Accuracy of Principle Mineral Resources Using Threshold

Author:

Qurban Maria1,Almazah Mohammed M. A.23ORCID,Nazir Hafiza Mamona4,Hussain Ijaz1ORCID,Ismail Muhammad5ORCID,Al-Duais Faud S.67ORCID,Amjad Sana8,Murshed Mohammed N.9

Affiliation:

1. Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan

2. Department of Mathematics, College of Sciences and Arts (Muhyil), King Khalid University, Muhyil 61421, Saudi Arabia

3. Department of Mathematics and Computer, College of Sciences, Ibb University, Ibb 70270, Yemen

4. Department of Statistics, Government College Women University, Sialkot, Pakistan

5. Department of Statistics, COMSATS University Islamabad, Lahore Campus, Lahore, Pakistan

6. Mathematics Department, College of Humanities and Science, Prince Sattam Bin Abdulaziz University, Al Aflaj, Saudi Arabia

7. Administration Department, Administrative Science College, Thamar University, Thamar, Yemen

8. Department of Management Sciences, National University of Modern Languages, Lahore, Pakistan

9. Department of Physics, College of Sciences and Arts (Muhyil), King Khalid University, Muhyil 61421, Saudi Arabia

Abstract

The production data of mineral resources are noisy, nonstationary, and nonlinear. Therefore, some techniques are required to address the problem of nonstationarity and complexity of noises in it. In this paper, two hybrid models (EMD-CEEMDAN-EBT-MM and WA-CEEMDAN-EBT-MM) flourish to improve mineral production prediction. First, we use empirical mode decomposition (EMD) and wavelet analysis (WA) to denoise the data. Second, ensemble empirical mode decomposition (EEMD) and complete ensemble empirical mode decomposition (CEEMDAN) are used for the decomposition of nonstationary data into intrinsic mode function (IMF). Then, empirical Bayesian threshold (EBT) is applied on noise dominant IMFs to consolidate noises, which are further used as input in the data-driven model. Next, other noise-free IMFs are used in the stochastic model as input for the prediction of minerals. At last, the predicted IMFs are ensemble for final prediction. The proposed strategy is exemplified using Pakistan's four major mineral resources. To measure the prediction performance of all the models, three methods, that is, mean relative error, mean square error, and mean absolute percentage error, are used. Our proposed framework WA-CEEMDAN-EBT-MM has shown improvement with minimum mean absolute percentage error value compared to other existing models in prediction accuracy for all four minerals. Therefore, our proposed strategy can predict the noisy and nonstationary time-series data with an efficient mechanism. Hence, it will be helpful to the policymakers for making policies and planning in mineral resource management.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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