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arxiv: 1611.03395 · v2 · pith:RJPKSSI7new · submitted 2016-11-10 · 🧮 math.PR

Extracting information from random data. Applications of laws of large numbers in technical sciences and statistics

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keywords largenumbersapplicationsconvergencelawsanalysisapproximationconditions
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We formulate conditions for convergence of Laws of Large Numbers and show its links with of the parts of mathematical analysis such as summation theory, convergence of orthogonal series. We present also applications of the Law of Large Numbers such as Stochastic Approximation, Density and Regression Estimation, Identification.

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