# Joint estimation of parameters in Ising model

@article{Ghosal2018JointEO,
title={Joint estimation of parameters in Ising model},
author={P. Ghosal and S. Mukherjee},
journal={arXiv: Statistics Theory},
year={2018}
}
• Published 2018
• Mathematics
• arXiv: Statistics Theory
• We study joint estimation of the inverse temperature and magnetization parameters $(\beta,B)$ of an Ising model with a non-negative coupling matrix $A_n$ of size $n\times n$, given one sample from the Ising model. We give a general bound on the rate of consistency of the bi-variate pseudolikelihood estimator. Using this, we show that estimation at rate $n^{-1/2}$ is always possible if $A_n$ is the adjacency matrix of a bounded degree graph. If $A_n$ is the scaled adjacency matrix of a graph… CONTINUE READING

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