3 papers
math.PR2026
Cramér-type moderate deviation for double index permutation statistics
Songhao Liu, Qiman Shao, Jingyu Xu
We establish a Cramér-type moderate deviation theorem for double-index permutation statistics (DIPS). To the best of our knowledge, previous results only provided Berry-Esseen typ…
math.PR2025
Conditional central limit theorems for exponential random graphs
Xiao Fang, Song-Hao Liu, Zhonggen Su +1
In this paper, we study the Exponential Random Graph Models (ERGMs) conditioning on the number of edges. In subcritical region of model parameters, we prove a conditional Central L…
math.PR2025
Normal approximation for exponential random graphs
Xiao Fang, Song-Hao Liu, Qi-Man Shao +1
The question of whether the central limit theorem (CLT) holds for the total number of edges in exponential random graph models (ERGMs) in the subcritical region of parameters has r…