Article Per Year (5 Year)
p-Index From 2021 - 2026
0.444
P-Index
This Author published in this journals
All Journal Asian Journal of Science, Technology, Engineering, and Art Mikailalsys Journal of Advanced Engineering International
Ibrahim, Abdulhalim Isah
Unknown Affiliation
Arts Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Electrical & Electronics Engineering Engineering Mechanical Engineering Social Sciences

Published : 2 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 2 Documents
Search

 1 
A Bayesian Decision-Theoretic Framework for Optimally Managing Asymmetric Error Costs in Hypothesis Testing Daniel, John Abisi A; Bishir, A.; Ibrahim, Abdulhalim Isah; ZabiZabi, Zainab Muhammad; Gabchiya, Abubakar; Nyam, Peter Weng
Asian Journal of Science, Technology, Engineering, and Art Vol 3 No 6 (2025): Asian Journal of Science, Technology, Engineering, and Art
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/ajstea.v3i6.7714

Abstract

The classical Neyman–Pearson paradigm of hypothesis testing mandates control of the Type I error rate (α) while maximizing power (1 − β), but this foundational approach has been widely criticized for its rigidity, reliance on arbitrary significance thresholds, and inability to formally incorporate the relative costs of different errors. This paper presents a Bayesian decision-theoretic framework as a principled alternative for optimizing the trade-off between Type I and Type II errors. By combining prior information with observed data to form a posterior distribution and minimizing a loss function that explicitly quantifies the consequences of decisions, the optimal decision rule emerges naturally and balances posterior evidence against asymmetric error costs. A detailed case study in medical diagnostics illustrates the practical advantages of this approach, demonstrating how optimal decisions change when the severity of errors is explicitly taken into account. The paper argues that the Bayesian framework provides a more coherent, flexible, and context-sensitive methodology for statistical decision-making, moving beyond the limitations imposed by a fixed α.
Hybrid Integral Transform Techniques for the Solution of Third-Order Nonlinear Ordinary Differential Equations Aliyu, Umar Mujahid; Oyewola, David Opeoluwa; Taura, Joel John; Lukunti, Salisu; Muhammad, Hassan; Adamu, Abubakar Yahya; Ibrahim, Abdulhalim Isah; Muhammad, Mubarak; Ibrahim, Imafidor Hassan; Kolo, Mohammed Abubakar; Adamu, Isah; Piapna'an, Wallen Juliet; Mansur, Mustapha Mohammed; Adamu, Ibrahim Abubakar; Marafa, Mohammed Yusuf; Umar, Abdulwasiu; Ahmad, Sulaiman; Hashim, Nura
Mikailalsys Journal of Advanced Engineering International Vol 3 No 2 (2026): Mikailalsys Journal of Advanced Engineering International
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjaei.v3i2.9236

Abstract

Third-order nonlinear ordinary differential equations frequently arise in the mathematical modeling of complex engineering and physical phenomena; however, exact analytical solutions remain difficult to obtain because of strong nonlinearities and higher-order derivative effects. Classical integral transform techniques, including the Laplace and Fourier transforms, are widely used for solving differential equations but often have limitations when extended to nonlinear systems. Although modern integral transforms such as the Sumudu, Mahgoub, and Elzaki transforms offer computational advantages, their applicability is generally restricted to linear models. This study introduces a hybrid analytical approach that integrates the Mahgoub transform with the Variational Iteration Method (VIM) to solve third-order nonlinear ordinary differential equations more effectively. The proposed method converts the governing equation into the transform domain and applies an iterative correction functional to address nonlinear terms without linearization or discretization. The resulting solutions are expressed in rapidly convergent series form. Numerical validation demonstrates strong agreement with exact solutions, confirming the efficiency, accuracy, and stability of the hybrid Mahgoub–VIM approach. The study concludes that this hybrid semi-analytical method provides a reliable framework for solving higher-order nonlinear differential equations in applied mathematics and engineering analysis. These findings contribute to the development of transform-based analytical methods by extending the applicability of the Mahgoub transform to nonlinear differential equation models through variational iteration.
Co-Authors Adamu, Abubakar Yahya Adamu, Ibrahim Abubakar Adamu, Isah Ahmad Sulaiman Aliyu, Umar Mujahid Bishir, A. Daniel, John Abisi A Gabchiya, Abubakar Hashim, Nura Ibrahim, Imafidor Hassan Kolo, Mohammed Abubakar Lukunti, Salisu Mansur, Mustapha Mohammed Marafa, Mohammed Yusuf Muhammad, Hassan Muhammad, Mubarak Nyam, Peter Weng Oyewola, David Opeoluwa Piapna'an, Wallen Juliet Taura, Joel John Umar, Abdulwasiu ZabiZabi, Zainab Muhammad