Incorporating Honey Badger Algorithm in Estimating Gamma Distribution With Application to Stock Price Modelling

Authors

  • Hamza Abubakar 1) School of Quantitative Sciences, Universiti Utara Malaysia. 06010 Sintok Kedah DarulAman, Malaysia 2) Department of Mathematics, Isa Kaita College of Education, Dutsin-ma, Katsina
  • Amani Idris Ahmed Sayed Department of Mathematics, Jazan University, 45142 Jizan, Saudi Arabia
  • Kamarun Hizam bin Mansor School of Quantitative Sciences, Universiti Utara Malaysia. 06010 Sintok Kedah DarulAman, Malaysia

DOI:

https://doi.org/10.13052/jrss0974-8024.1717

Keywords:

Honey badger algorithm, artificial immune system, stock price, gamma distribution, moment method, regression method

Abstract

This study evaluates the performance of various estimation methods in stock price analysis across diverse parameters, focusing on the Honey Badger Algorithm (HBA). The purpose is to determine the most accurate and reliable method for parameter estimation. Methodologically, we analyze data spanning eight years from publicly traded Malaysian property companies, employing financial metrics such as Mean Absolute Error (MAE) and Root Mean Square Error (RMSE). Our findings highlight HBA’s consistent precision in parameter estimation, with values closely aligning with initial parameters across different stock sizes. For example, HBA-Gamma model achieves an MAE of 0.0592 and an RMSE of 0.8458 for 13 stocks, demonstrating its proficiency in capturing stock price distributions in dynamic markets. In contrast, the Artificial Immune System (AIS) provides reasonable estimates but with higher variability. The Regression Method exhibits mixed outcomes, displaying accuracy in some cases but notable variability and reduced precision, especially with larger datasets. The Moment Method, while adequate, shows slightly higher variance compared to both HBA and AIS. Further analysis using Log Likelihood values confirms HBA’s superior fit to the data, consistently surpassing AIS, Regression Method, and Moment Method in likelihood maximization across various stock numbers. Specifically, HBA exhibits lower MAE and RMSE values of 0.1034 and 0.06723, respectively, for 26 stocks, further validating its effectiveness in parameter estimation and stock price prediction. These findings underscore the importance of integrated approaches that account for market nuances rather than relying solely on individual model forecasts. The results affirm HBA’s potential for informed investment decision-making, emphasizing its robust performance and enhanced predictive capabilities compared to alternative methodologies. However, further research is needed to assess the generalizability of these findings to other markets and contexts.

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Author Biographies

Hamza Abubakar, 1) School of Quantitative Sciences, Universiti Utara Malaysia. 06010 Sintok Kedah DarulAman, Malaysia 2) Department of Mathematics, Isa Kaita College of Education, Dutsin-ma, Katsina

Hamza Abubakar received his B.Sc. in Mathematics and M.Sc. in Financial Mathematics from the University of Abuja, Nigeria, in 2006 and 2015, respectively. He holds a Ph.D. in Financial Mathematics from the University of Science Malaysia. In 2008, Hamza joined the service of Isa Kaita College of Education, Dutsin-ma, Katsina, Nigeria as an assistant lecturer and rose to Principal Lecturer through the ladder of promotion. He is currently a Postdoctoral Scheme A (Lecturer) at the School of Quantitative Sciences, Universiti Utara Malaysia. He is an active member of the Nigerian Mathematical Society, the Mathematical Association of Nigeria, the Science Teachers Association of Nigeria, and the International Association of Engineers (OR and AI). His research interests include Financial Mathematics, neural network modeling, and Metaheuristics algorithm.

Amani Idris Ahmed Sayed, Department of Mathematics, Jazan University, 45142 Jizan, Saudi Arabia

Amani Idris Ahmed Sayed received her bachelor’s degree in Mathematics from Jazan University in 2005, her master’s degree in Financial Mathematics from the University of Dayton in 2012, and her Ph.D. in Financial Mathematics from Universiti Sains Malaysia in 2023. She is currently working as an Assistant Professor in the Department of Mathematics, Faculty of Sciences, at Jazan University. Her research areas include investment modeling, risk analysis, and statistical finance.

Kamarun Hizam bin Mansor, School of Quantitative Sciences, Universiti Utara Malaysia. 06010 Sintok Kedah DarulAman, Malaysia

Kamarun Hizam bin Mansor received both his B.Sc. in Industrial Mathematics and MSc in Mathematics from the University of Technology, Malaysia, in the years 2000 and 2002, respectively. After 20 years, he received a PhD degree in numerical analysis from the Northern University of Malaysia in 2022. Kamarun Hizam bin Mansor is currently serving with the School of Quantitative Sciences at the Northern University of Malaysia. His research interests include numerical analysis, financial mathematics, mathematical modelling, and optimisation.

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Published

2024-07-29

How to Cite

Abubakar, H. ., Sayed, A. I. A., & Mansor, K. H. bin. (2024). Incorporating Honey Badger Algorithm in Estimating Gamma Distribution With Application to Stock Price Modelling. Journal of Reliability and Statistical Studies, 17(01), 157–190. https://doi.org/10.13052/jrss0974-8024.1717

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Section

Advances in Reliability Studies