With the great pleasure and anticipation, we introduce this special  issue dedicated to the theme for exploration in “Advancements in Mathematical Modelling and Statistical Analysis”, under the 1st International Conference on Mathematics, Modelling and Statistics (ICMMS-2023) held on 01-02 September, 2023 organised by Poornima Institute of Engineering and Technology, Jaipur, Rajasthan, India. The dynamic field of mathematical modeling and statistical analysis is at the forefront of scientific inquiry, playing a pivotal role in solving complex problems, making informed decisions, and driving innovation across diverse domains. The Conference received overwhelming response from academicians and researchers across the globe, getting in more than 90 papers out of which 21 quality papers have been identified and are included in the esteemed Journal of Interdisciplinary Mathematics published by Taru Publications, New Delhi.