Our vision is to bridge the gap between state-of-the-art stochastic modeling and practical applications across diverse fields in Science and Engineering. This interdisciplinary approach enables us to address complex challenges. We’re particularly focused on applying stochastic modeling to enhance the reliability of connectivity in 6G IoT networks using k-out-of-n systems. In this context, our mission is to publish four comprehensive research papers, contributing to the advancement of knowledge in this crucial area. We understand the significance of ensuring reliable connections in the rapidly evolving landscape of 6G IoT networks. By employing stochastic modeling and analysis, we strive to provide innovative solutions and insights that can have a meaningful impact on the robustness and performance of these networks. Our commitment to both theoretical excellence and practical relevance underscores our dedication to furthering the fields of stochastic modeling and connectivity reliability in 6G IoT networks, benefiting Science and Engineering.