Any proof of the weak law of large numbers i know requires conditions under which one can also proofe the strong law of large Numbers. Is there a version of the weak law with conditions so decend, that the strong law does no longer apply?
2026-03-29 04:34:28.1774758868
Is there a version of WLLN with weaker conditions than SLLN?
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Sure. Recall that for both WLLN and SLLN you need at least a mean. So try a distribution with no mean, but it's a bit trickier than that. You can find an example in this link, Example 0.0.1 on the bottom of page 2.