Yanjun Han

activity

20172026

most citedLower Bounds for Learning Distributions under Communication Constraints via Fisher Information

13 citations · 29 across the 11 of their papers we have counts for

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math.PR2026

A Cap-Move Reformulation of Ling's Proof of Samuels' Conjecture

Yanjun Han

Let $0 \leq μ_{1} \leq μ_{2} \leq \dots \leq μ_{n}$ and $δ > 0$ . Samuels' conjecture claims that if $X_{1}, \dots, X_{n}$ are independent non-negative random variables with $E [X_{i}] = μ_{i}$ ,…

math.PR2026

Sharp small-deviation inequalities for sums of independent nonnegative random variables

Weibo Fu, Yanjun Han, Guanyang Wang +3

Let $(X_{1}, \dots, X_{n})$ be independent nonnegative random variables with $E X_{i} \leq 1$ , and write $S = \sum_{i} X_{i}$ . For $δ > 0$ , we prove that \[ \mathbb{P}\left(S<\mathbb{E} S+δ\…