# Maximum likelihood estimation for discrete exponential families and random graphs

@article{Bogdan2019MaximumLE, title={Maximum likelihood estimation for discrete exponential families and random graphs}, author={K. Bogdan and Michal Bosy and T. Skalski}, journal={arXiv: Probability}, year={2019} }

We characterize the existence of the maximum likelihood estimator for discrete exponential families. Our criterion is simple to apply, as we show in various settings, most notably for exponential models of random graphs. As application we point out the size of independent identically distributed samples for which the maximum likelihood estimator exists with high probability.

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