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We establish weak and strong law of large numbers for a class of branching symmetric Hunt processes with the branching rate being a smooth measure with respect to the underlying Hunt process, and the ...
A Strong Law of Large Numbers for Super-stable Processes.
On Marcinkiewicz-Zygmund laws of large numbers in Banach spaces and related rates of convergence。
Convergence rates in the strong law of large numbers for sums of random variables with multidimensional indices
There are given the laws of large numbers of the Hsu-Robbins type which generalize some results of [I] and [2].
It is shown that Teicher's version of the strong law of large numbers for random variables, taking values in separable Banach spaces, holds under the assumption that the weak law of large numbers h...
Let f be a random variable with values in a metric space (X, d). For some class of metric spaces we define in terms of the metric d mathematical expectation of f as a closed bounded and non-empty s...
The Strong Law of Large Numbers due to Marcinkiewicz and Zygmund is carried over to simply connected step 2-nilpotent Lie groups. Moreover, for such groups, we prove analogues of the classical theo...
We present the Marcinkiewicz-type strong law of large numbers for random fields {X,, n E Zd,) of pairwise independent random variables, where Zd,, d & 1, is the set of positive d-dimensional lattic...
The strong laws of large numbers for random permanents of increasing order are derived. The method of proofs relies on the martingale decomposition of a random permanent function, similar to the on...
In this paper we obtain the conditions of the strong law of large numbers for two-dimensional arrays of random variables which are blockwise independent and blockwise orthogonal. Some well-known re...

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