Abstract
In this paper we present a number of sufficient conditions on a sequence of probability measuresµ n on a locally compact (second countable) Hausdorff topological semigroupS that guarantee the weak convergence of the sequence of convolution productsµ k,n ≡µ k + 1 *···*µ n (k<n), asn→∞, for allk≥0.
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Budzban, G., Mukherjea, A. Convolution products of nonidentical distributions on a topological semigroup. J Theor Probab 5, 283–307 (1992). https://doi.org/10.1007/BF01046736
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DOI: https://doi.org/10.1007/BF01046736