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Uniform Strong Law of Large Numbers

V. Yu. Bogdanskii (), O. I. Klesov () and I. Molchanov ()
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V. Yu. Bogdanskii: National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”
O. I. Klesov: National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”
I. Molchanov: University of Bern

Methodology and Computing in Applied Probability, 2021, vol. 23, issue 2, 461-470

Abstract: Abstract We prove the strong law of large numbers for random signed measures. The result is uniform over a family of subsets under mild assumptions.

Keywords: Random signed measure; Strong law of large numbers; Uniform limit theorem over a family of subsets; Partial sum stochastic processes; Primary 60F15; Secondary 60G55; 60G57; 60G60 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s11009-019-09711-x

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