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math.PR2004
Exponential Bounds for Random Sums
B. M. Migdashiev, E. I. Ostrovsky
We construct a non - improved exponential bounds for distribution of normed sums of i.,i.d. random variables with random numbers of summand.
math.PR2004★ 2 cited
Exact Constants in the Rosenthal Moment Inequalities for Sums of independent centered Random Variables
B. Naimark, E. Ostrovsky
We study the exact constants in the moment inequalities for sums of centered independent random variables: improve their asymptotics, low and upper bounds, calculate more exact asy…