Sentence examples for sure convergence from inspiring English sources

' denotes almost sure convergence.

The (overset {a.s.}longrightarrow ) represents almost sure convergence.

where (xrightarrow {a.s.}) denotes the almost sure convergence.

representsalmost sure convergence which is uniform in and.

where (overset {a.s.}) denotes the almost sure convergence.

The same results hold for almost sure convergence.

Almost sure convergence to a Nash equilibrium is proved for diminishing step sizes.

In view of the Borel-Cantelli lemma, complete convergence implies almost sure convergence.

We study almost sure convergence for -mixing sequences of random variables.

Therefore, the complete convergence is a very important tool in establishing almost sure convergence.

We first show the almost sure convergence of (x t)) to zero as (trightarrowinfty).