Epi-convergence of sequences of normal integrands and strong consistency of the maximum likelihood estimator

@inproceedings{Hess1996EpiconvergenceOS,
  title={Epi-convergence of sequences of normal integrands and strong consistency of the maximum likelihood estimator},
  author={Christian A. Hess},
  year={1996}
}
Using the variational properties of epi-convergence together with suitable results on the measurability of multifunctions and integrands, we prove a strong law of large numbers for sequences of integrands from which we deduce a general theorem of almost sure convergence (strong consistency) for the maximum likelihood estimator. 

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