Let $X$ be such that $X - \mathbb{E}[X]$ is a subgaussian random variable and $Y$ a random variable supported on $\{0,1\}$ (not necessarily independent from $X$). Is $XY - \mathbb{E}[XY]$ subgaussian as well?
2026-03-30 05:25:32.1774848332
Is product of subgaussian and indicator random variable subgaussian?
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