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math.PR2002
A general Hsu-Robbins-Erdos type estimate of tail probabilities of sums of independent identically distributed random variables
Alexander R. Pruss
Let be a sequence of independent and identically distributed random variables, and put . Under some conditions on the positive sequence and the…
math.PR1998
A comparison inequality for sums of independent random variables
Stephen Montgomery-Smith, Alexander R. Pruss
We give a comparison inequality that allows one to estimate the tail probabilities of sums of independent Banach space valued random variables in terms of those of independent iden…
math.PR1998
A general Hsu-Robbins-Erdos type estimate of tail probabilities of sums of independent identically distributed random variables
Alexander R. Pruss
Let X_1,X_2,... be a sequence of independent and identically distributed random variables, and put S_n=X_1+...+X_n. Under some conditions on the positive sequence tau_n and the pos…