Application of mathematical modeling in probability theory and mathematical statistics

Abstract

In this academic paper, the application of mathematical modeling in the fields of probability theory and mathematical statistics is rigorously explored. This study advocates for the integration of mathematical modeling into the pedagogical framework of these disciplines, proposing it as a strategic enhancement to traditional teaching methodologies. The incorporation of such models is posited to catalyze the cultivation of creative thinking capabilities within students. The discourse following this proposal delves into the intricate details, highlighting both theoretical underpinnings and practical applications of this integration. By infusing mathematical modeling into the curriculum, the initiative aims to enrich students’ comprehension and application of complex statistical and probabilistic concepts, thereby equipping them with the tools to innovatively tackle real- world problems.