%0 Journal Article %T Random linear combinations of functions from $L_1$ %A Pavel Grigoriev %J Mathematics %D 2002 %I arXiv %X 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. %U http://arxiv.org/abs/math/0210341v1