We assume that $$X \sim N(0,1/d),$$ where $d\rightarrow \infty$. For $\delta > 0$ sufficiently small. My question is, what is the correct order (in terms of $d$) of $$ E(X^k~|~X>1/\sqrt{d^{1-\delta}}). $$
2026-05-04 19:17:28.1777922248
The higher moments of truncated Gaussian
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