Corpus ID: 219965723

Phase Transitions of the Maximum Likelihood Estimates in the $p$-Spin Curie-Weiss Model

@inproceedings{Mukherjee2020PhaseTO,
  title={Phase Transitions of the Maximum Likelihood Estimates in the \$p\$-Spin Curie-Weiss Model},
  author={S. Mukherjee and J. Son and B. Bhattacharya},
  year={2020}
}
  • S. Mukherjee, J. Son, B. Bhattacharya
  • Published 2020
  • Mathematics, Physics
  • In this paper we consider the problem of parameter estimation in the $p$-spin Curie-Weiss model, for $p \geq 3$. We provide a complete description of the limiting properties of the maximum likelihood (ML) estimates of the inverse temperature and the magnetic field given a single realization from the $p$-spin Curie-Weiss model, complementing the well-known results in the 2-spin case (Comets and Gidas (1991)). Our results unearth various new phase transitions and surprising limit theorems, such… CONTINUE READING
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