Small Deviation Probabilities of a Sum of Independent Positive Random Variables, the Common Distribution of Which Decreases at Zero Not Faster Than Exponential Function


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Abstract

We investigate small deviation probabilities of the cumulative sum of independent positive random variables, the common distribution of which decreases at zero not faster than exponential function.

About the authors

L. V. Rozovsky

St.Petersburg State Chemical Pharmaceutical Academy; St.Petersburg Department of the Steklov Mathematical Institute

Author for correspondence.
Email: L_Rozovsky@mail.ru
Russian Federation, St.Petersburg

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