How do you show that $$\sqrt{n}\cdot\mathbb{E}\left[X\cdot \mathbb{1}_{|X|\leq\sqrt{n}}\right]\to 0$$
for a random variable $X$ with zero mean? Do we need finite variance?
2026-03-30 02:06:43.1774836403
Asymptotic behavior of truncated mean of zero mean variable
174 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in PROBABILITY-THEORY
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