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

Sums of independent random variables; random walks (60G50) Large deviations (60F10) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Limit theorems in probability theory (60F99)

Related Items (5)

Probabilities of small deviations of the weighted sum of independent random variables with common distribution that decreases at zero not faster than a power ⋮ Small deviation probabilities for weighted sum of independent random variables with a common distribution that can decrease at zero fast enough ⋮ Small deviation probabilities of a sum of independent positive random variables, the common distribution of which decreases at zero not faster than exponential function ⋮ On the history of St. Petersburg school of probability and mathematical statistics. II: Random processes and dependent variables ⋮ Small Deviation Probabilities for a Weighted Sum of Independent Positive Random Variables with Common Distribution Function That Can Decrease at Zero Fast Enough

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