SIAM Journal on Numerical Analysis, Vol. 30, No. 6 (Dec., 1993), pp. 1558-1573 (16 pages) The convergence of the Monte Carlo method for numerical integration can often be improved by replacing random ...
Given a decreasing sequence {aⁿ} of nonnegative terms, we prove that there exist subsequences {nk } of {n} such that ∑k=1∞nk+1−nkank and ∑n=1∞an have the same convergence. In particular, ∑n=1∞an ...
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