Article
On Uniform Distribution in Probability for Sequences of Products of Independent Random Elements in a Compact Metric Group
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Abstract
We consider the concept of uniform distribution in probability for sequences of random elements in a compact metric group. We prove a criterion for uniform distribution in probability for sequences of products of independent random elements. As a corollary, we obtain a criterion for uniform distribution modulo 1 in probability for sequences of sums of independent random variables which generalizes the classical Weyl’s criterion.
Keywords
Weyl’s criterion, uniform distribution modulo 1, uniform distribution almost.
Citation
Dobrovolsky, S. M. & Dobrovolskaya, M. S. (2012). On uniform distribution in probability for sequences of products of independent random elements in a compact metric group. Uniform Distribution Theory, 7(2), 61–76.
S. M. Dobrovolsky and M. S. Dobrovolskaya, “On uniform distribution in probability for sequences of products of independent random elements in a compact metric group,” Uniform Distribution Theory, vol. 7, no. 2, pp. 61–76, 2012.
Dobrovolsky SM, Dobrovolskaya MS. On uniform distribution in probability for sequences of products of independent random elements in a compact metric group. Uniform Distribution Theory. 2012;7(2):61–76.
Dobrovolsky, S. M. and Dobrovolskaya, M. S. (2012), ‘On uniform distribution in probability for sequences of products of independent random elements in a compact metric group’, Uniform Distribution Theory, 7(2), pp. 61–76.
Dobrovolsky, Sergey M., and Maria S. Dobrovolskaya. “On Uniform Distribution in Probability for Sequences of Products of Independent Random Elements in a Compact Metric Group.” Uniform Distribution Theory, vol. 7, no. 2, 2012, pp. 61–76.
Dobrovolsky, Sergey M., and Maria S. Dobrovolskaya. “On Uniform Distribution in Probability for Sequences of Products of Independent Random Elements in a Compact Metric Group.” Uniform Distribution Theory 7, no. 2 (2012): 61–76.
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Published by: Engineering Journals
