
handle: 11630/21546
In this paper, statistical epi-limit is defined by using epigraphs in order to increase sensitivity by eliminating outliers for mathematical problems. Various characterizations of statistical epi-convergence and their relations are given and it is compared with statistical convergence. Also, its connections with level sets and monotone increasing or decreasing cases are studied. Moreover, statistical equi-lower semicontinuity and its relation with statistical epi-limit is examined.
lower semicontinuity, statistical epi-convergence, epigraphs, epi-convergence
lower semicontinuity, statistical epi-convergence, epigraphs, epi-convergence
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