| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1152243 | Statistics & Probability Letters | 2012 | 5 Pages |
Abstract
We find a sufficient condition for a.s. convergence to zero of summands given that a sum of two sequences of random variables a.s. converges to zero. The condition turns out to be weaker than that used in the monograph by Loeve and in a paper by Martikainen. Our result is also used in construction of a counter-example regarding the a.s. convergence of a rearranged series.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
S. Chobanyan, S. Levental, V. Mandrekar,