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math.PR2024
Rates of Convergence of the Magnetization in the Tensor Curie-Weiss Potts Model
Sanchayan Bhowal, Somabha Mukherjee
In this paper, we derive distributional convergence rates for the magnetization vector and the maximum pseudolikelihood estimator of the inverse temperature parameter in the tensor…
math.PR2024
Moderate Deviation and Berry-Esseen Bounds in the -Spin Curie-Weiss Model
Somabha Mukherjee, Tianyu Liu, Bhaswar B. Bhattacharya
Limit theorems for the magnetization in the -spin Curie-Weiss model, for , has been derived recently by Mukherjee et al. (2021). In this paper, we strengthen these res…
math.PR2017
A Proof of the Herschel-Maxwell Theorem Using the Strong Law of Large Numbers
Somabha Mukherjee
In this article, we use the strong law of large numbers to give a proof of the Herschel-Maxwell theorem, which characterizes the normal distribution as the distribution of the comp…