Probabilities of Small Deviations of the Weighted Sum of Independent Random Variables with Common Distribution That Decreases at Zero Not Faster Than a Power

Resumo

The paper presents estimates of small deviation probabilities of the sum \( {\displaystyle \sum_{j\ge 1}{\leftthreetimes}_j{X}_j} \) , where {⋋_j} are positive numbers and {X_j} are i.i.d. positive random variables satisfying weak restrictions at zero and infinity. Bibliography: 16 titles.