Using Some Mixture Probability Distributions in Predicting the Amounts of Pollution by Gas Emission in Basrah Governorate

Authors

  • Bahaa Abdul Razaq Qaseem Department of statistics, College of Administration and Economics, University of Basrah, Basrah , Iraq Author https://orcid.org/0000-0001-7637-1906
  • Ahmed Husham Mohammed Department of statistics, College of Administration and Economics, University of Basrah, Basrah , Iraq Author https://orcid.org/0000-0003-4384-6455
  • Montadher Jumaa Mahdi Department of statistics, College of Administration and Economics, University of Basrah, Basrah , Iraq Author https://orcid.org/0000-0002-6846-5889

DOI:

https://doi.org/10.62933/byj2ts29

Keywords:

Probability Distributions , Mixture Distributions , Estimation, Predicting

Abstract

Mixture probability distributions are among the topics that have received great attention because of their role in reaching new distributions that have characteristics that are superior to traditional probability distributions, especially since there are data that have compound distributional characteristics when examined, and mixture distributions often contribute to improving the results of estimation and prediction. Therefore, this paper dealt with the problem of increasing gases emitted by factories, especially in oil installations, which is one of the main causes of environmental pollution, which negatively affects the health of citizens and the increase in diseases resulting from air pollution, including cancer. Therefore, the aim of preparing this paper was to predict the amounts of gases emitted by oil installations in Basrah Governorate, as the gas emissions data were modeled using mixed probability distribution models. These probability models were applied based on real data representing the gas emissions emitted by oil companies operating in Basrah Governorate for the period (Jan2010-Nov2020). Three probability distribution mixture were adopted, namely (Gamma-Gamma, Normal-Normal, Gamma-Lognormal). The comparison was made between them using the Kolmogorov-Smirnov goodness of fit test and the Criteria represented by (AIC, BIC, AICC), where the results determined the preference of the distribution model (N-N), after which the predictions of gas emissions associated with oil operations were found to be expected to increase in a short time.

References

[1] Abushal, T., Sindhu , T. N., Lone, S. A., Hassan, M. K., & Shafiq , A. (2023). Mixture of Shanker Distributions: Estimation, Simulation and Application. DMPI, 12(3), 1-25. doi:https://doi.org/10.3390/axioms12030231

[2] Afuecheta, E., Semeyutin, A., Chan, S., Nadaraja, S., & Pérez Ruiz, D. A. (2020). Compound distributions for financial returns. PLOS ONE, 15(10), 1-25. doi:https://doi.org/10.1371/journal.pone.0239652

[3] AL-Moisheer, A. S., Alotaibi, R. M., Alomani, G. A., & Rezk, H. (2020). Bivariate Mixture of Inverse Weibull Distribution: Propertiesand Estimation. Mathematical Problems in Engineering, 2020(1), 1-12. doi:https://doi.org/10.1155/2020/5234601

[4] Al Moisheer, A. S., Daghestani, A. F., & Sultan, K. S. (2021). Mixture of Two One Parameter Lindley Distributions: Properties and Estimation. Journal of Statistical Theory and Practice, 15(1), 1-21. doi:10.1007/s42519-020-00133-4

[5] Al-Omari, A. I., & Dobbah, S. A. (2023). On the mixture of Shanker and gamma distributions with applications to engineering data. Journal of Radiation Research and Applied Sciences, 16(1), 1-11. doi:https://doi.org/10.1016/j.jrras.2023.100533

[6] D., O. O., A., A. O., & M., A. T. (2019). Exponential-Gamma Distribution. International Journal of Emerging Technology and Advanced Engineering, 9(10), 245-249. Retrieved from https://www.ijetae.com/files/Volume9Issue10/IJETAE_1019_40.pdf

[7] Ekhosuehı, N., Nzeı , L., & Opone, F. (2020). A New Mixture of Exponential-Gamma Distribution. 33(2), 548 - 564. doi:https://doi.org/10.35378/gujs.475102

[8] Jana, N., & Bera, S. (2022). Estimation of parameters of inverse Weibull distribution and application to multi-component stress-strength model. Journal of Applied Statistics, 49(1), 169-194. doi:https://doi.org/10.1080/02664763.2020.1803815

[9] Pishro-Nik, H. (2014). Introduction to Probability, Statistics, and Random Processes. Kappa Research, LLC.

[10] R., U. m., & T., L. A. (2017). mixture of identical distributions of exponential, gamma, lognormal, weibull, gompertz approach to heterogeneous survival data. International Journal of Current Research, 9(9), 57521-57532. Retrieved from https://www.journalcra.com/sites/default/files/issue-pdf/25775.pdf

[11] Torrent, R. (1978). The log-normal distribution: A better fitness for the results of mechanical testing of materials. Materials and Structures, Spriger, 11(4), 235–245. doi:https://doi.org/10.1007/BF02551768

[12] Wei, Z., Peng, T., & Zhou, X. (2020). The Alpha-Beta-Gamma Skew Normal Distribution and Its Application. Open Journal of Statistics, 10(6), 1057-1071. doi:https://doi.org/10.4236/ojs.2020.106060

[13] Yakubu, O. M., Mohammed, Y. A., & Imam, A. (2022). A Mixture of Gamma-Gamma, Loglogistic-Gamma Distributions for the Analysis of Heterogenous Survival Data. International Journal of Mathematical Research, 11(1), 1-11. doi:DOI: https://doi.org/10.18488/24.v11i1.2924

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Published

2025-05-11

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Section

Original Articles

How to Cite

Using Some Mixture Probability Distributions in Predicting the Amounts of Pollution by Gas Emission in Basrah Governorate. (2025). Iraqi Statisticians Journal, 2(special issue for ICSA2025), 89-98. https://doi.org/10.62933/byj2ts29