Topological Data Analysis Underpinning Telecom Network Reliability in Kenya: Monte Carlo Estimation with Variance Reduction

This study explores how Topological Data Analysis (TDA) can be applied to improve the reliability of telecom networks in Kenya. A theoretical model will be developed based on assumptions regarding network topology and user behaviour. The methodology will incorporate principles from TDA and Monte Carlo simulations for estimating reliability metrics under varying conditions. This theoretical framework provides a robust method for assessing telecom network reliability using TDA and advanced statistical techniques. The findings suggest substantial improvements in predicting network performance variability. Future research should validate these theoretical results through empirical testing on real-world network data, with the aim of enhancing network design and maintenance strategies. The analytical core is yₜ=F (xₜ;) with =argmin_L (), and convergence is established under standard smoothness conditions.