http://iphopen.org/index.php/ms <p><strong>IPHO-Journal of Advance Research in Mathematics And Statistics, <a href="https://portal.issn.org/resource/ISSN/3050-9068">(e-ISSN 3050-9068, p-ISSN 3050-9335)</a></strong> Without mathematics, there’s nothing you can do. Everything around you is mathematics. Everything around you is numbers. Mathematics has been regarded as the backbone of scientific and technological development without which no nation can attain any sustainable development. Mathematics has been referred as the language of science, as everything man does involve mathematics, from the formulas we use to model the world, to the trials and measurements we use to test and apply our models. etc</p> en-US <p>Author(s) and co-author(s) jointly and severally represent and warrant that the Article is original with the author(s) and does not infringe any copyright or violate any other right of any third parties and that the Article has not been published elsewhere. Author(s) agree to the terms that the <strong>IPHO Journal</strong> will have the full right to remove the published article on any misconduct found in the published article.</p> khanaasik95@gmail.com (Aasik Hussain) loveanju52438@gmail.com (Mohabbat Husain ) Sat, 29 Aug 2026 06:52:49 +0000 OJS 3.2.1.2 http://blogs.law.harvard.edu/tech/rss 60 http://iphopen.org/index.php/ms/article/view/484 <p>Comparing the intensity of epidemic waves across regions or time periods is a major public health decision-making issue. This article addresses this problem by developing a theoretical framework for stochastically comparing extremes (minimums and maximums) of random variables following generalized Weibull and Beta-Weibull distributions. The approach relies on vector majorization to rank parameter dispersion and on stochastic orders to compare peaks and troughs of epidemic waves. The established theorems are validated by numerical simulations. An application to daily COVID-19 data from Burkina Faso (13 regions, March 2020 – March 2022) is carried out. The results show that wave 2 (December 2020 – February 2021) was the most intense (mean ? = 10.92) and that the Centre region (Ouagadougou) concentrates the highest peaks (? reaching 77.9). The generalized Beta-Weibull model provides a better fit than the classical Weibull model, but its estimation is fragile (saturation of parameter a at 100). The comparison theorems are validated for the Weibull model (5 out of 6 pairs). The matrix chain majorization analysis (simultaneous comparison of ? and ?) shows that no wave satisfies the required conditions, which in itself is an epidemiological finding: the intensity and shape of regional peaks are independent. Limitations include the disparity in the number of adjusted regions across waves and the low activity of wave 1. The study opens perspectives for the analysis of other infectious diseases (malaria, meningitis) and for extension to other countries in the West African subregion.</p> Daouda Traoré, Issouf Traoré Copyright (c) 2026 IPHO-Journal of Advance Research in Mathematics And Statistics https://creativecommons.org/licenses/by-nc-sa/4.0 http://iphopen.org/index.php/ms/article/view/484 Sat, 29 Aug 2026 00:00:00 +0000