The Sensitivity of Meta Distributions to Their Moments

While meta distribution (MD) reconstruction methods based on moments play an important role in analyzing wireless network performance, a critical gap exists in comprehending the impact and consequences of inaccurate moments on MD reconstructions. The reliability and robustness of these techniques remain unexplored. In this paper, we address this gap by analyzing the sensitivity of commonly used MD reconstruction methods to perturbations to moments and provide valuable guidelines for the application of these methods. Furthermore, we quantify the impact of inaccurate moments on MD reconstructions, examining the validity of perturbed moment sequences and demonstrating the critical importance of moment accuracy. Our investigation demonstrates the necessity for precise moment computation. Succinctly put, moment quality is preferred over moment quantity.