http://iphopen.org/index.php/ms/issue/feed 2026-08-29T06:52:49+00:00 Aasik Hussain khanaasik95@gmail.com Open Journal Systems <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> http://iphopen.org/index.php/ms/article/view/484 2026-08-29T06:47:42+00:00 Daouda Traoré no_reply@gmail.com Issouf Traoré no_reply@gmail.com

<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>

2026-08-29T00:00:00+00:00 Copyright (c) 2026 IPHO-Journal of Advance Research in Mathematics And Statistics