PROBABILITIES OF SMALL DEVIATIONS OF THE WEIGHTED SUM OF INDEPENDENT RANDOM VARIABLES WITH COMMON DISTRIBUTION THAT DECREASES AT ZERO NOT FASTER THAN A POWER

摘要

The paper presents estimates of small deviation probabilities of the sum Σ j≥1 λ_jX_j, where {λ_j} are positive numbers and {X_j} are i.i.d. positive random variables satisfying weak restrictions at zero and infinity. Bibliography: 16 titles.