Journal of Applied Probability, Vol. 38, No. 2 (Jun., 2001), pp. 519-541 (23 pages) We study the convergence of certain matrix sequences that arise in quasi-birth-and-death (QBD) Markov chains and we ...
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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