Exact goodness-of-fit testing for the Ising model

  title={Exact goodness-of-fit testing for the Ising model},
  author={Abraham Mart{\'i}n del Campo and Sarah S. Cepeda and Caroline Uhler},
The Ising model is one of the simplest and most famous models of interacting systems. It was originally proposed to model ferromagnetic interactions in statistical physics and is now widely used to model spatial processes in many areas such as ecology, sociology, and genetics, usually without testing its goodness of fit. Here, we propose various test statistics and an exact goodness-of-fit test for the finite-lattice Ising model. The theory of Markov bases has been developed in algebraic… CONTINUE READING
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