4 papers
Instance-Optimal Adaptive Location Estimation via Multiscale Mid-Summaries
Qiaosen Wang, Chao Gao
Location estimation exhibits markedly different finite-sample behavior across noise distributions: regular families typically yield root-\(n\) rates, whereas compactly supported la…
Sample Complexities of Estimating Gumbel--Max Watermark Proportions with and without Reduction to Pivotal Statistics
Shuwen Chai, Qiaosen Wang
Watermarking promises statistical traceability of large language model (LLM) uses, but real documents rarely arrive as purely human-written or purely LLM-generated. This motivates…
When Are Trade-Off Functions Testable from Finite Samples?
Kaining Shi, Qiaosen Wang, Cong Ma
We study finite-sample inference for the trade-off function of two unknown probability distributions, the function that traces the optimal type I/type II error frontier in binary t…
Adaptive Confidence Intervals in Efron's Gaussian Two-Groups Model
Qiaosen Wang, Shuwen Chai, Chao Gao
Robust uncertainty quantification is increasingly important in modern data analysis and is often formalized under Huber's model, which allows an -fraction of arbitrary…