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Random linear combinations of functions from $L_1$ | Pavel Grigoriev
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22 Oct 2002 | Subject: | Probability; Classical Analysis and ODEs MSC-class: 60G99; 60G70; 26D15 | math.PR math.CA | Abstract: | In the paper I study properties of random polynomials with respect to a general system of functions. Some lower bounds for the mathematical expectation of the uniform and recently introduced integral-uniform norms of random polynomials are established. {sc Key words and phrases:} Random polynomial, estimates for maximum of random process, integral-uniform norm. | Source: | arXiv, math.PR/0210341 | Services: | Forum | Review | PDF | Favorites |
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