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zbMath1322.60038MaRDI QIDQ2945293
Publication date: 9 September 2015
Full work available at URL: http://www.math.uni.wroc.pl/~pms/files/35.1/Article/35.1.10.pdf
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weighted sumsregularly varying functionsslowly varying functionssmall deviation probabilitiesi.i.d. positive random variables
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)
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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 for Weighted Sum of Independent Random Variables with a Common Distribution Having a Power Decrease at Zero, under Minimal Moment Assumptions
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