4 papers
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…
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…
From the Polya-Szego symmetrization inequality for Dirichlet integrals to comparison theorems for p.d.e.'s on manifolds
Alexander R. Pruss
A method for proving symmetrization inequalities for some elliptic p.d.e.'s on manifolds equipped with appropriate isoperimetric inequalities is outlined. The method is based on a…
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…