Epi-convergence of sequences of normal integrands and strong consistency of the maximum likelihood estimator
成果类型：
Article
署名作者：
Hess, C
刊物名称：
ANNALS OF STATISTICS
ISSN/ISSBN：
0090-5364
发表日期：
1996
页码：
1298-1315
关键词：
摘要：
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.