2023
DOI: 10.3934/puqr.2023015
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A strong law of large numbers under sublinear expectations

Yongsheng Song

Abstract: We consider a sequence of independent and identically distributed (i.i.d.) random variables under a sublinear expectation . We first give a new proof to the fact that, under each , any cluster point of the empirical averages lies in with . Next, we consider sublinear expectations on a Polish space , and show that for each constant , there exists a probability such that lim n→∞ ξn = µ, P

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