Moderate Deviation and Berry-Esseen Bounds in the $p$-Spin Curie-Weiss Model

Somabha Mukherjee, Tianyu Liu, Bhaswar B. Bhattacharya

Limit theorems for the magnetization in the $p$-spin Curie-Weiss model, for $p\ge 3$, has been derived recently by Mukherjee et al. (2021). In this paper, we strengthen these res…