Shubhanshu Shekhar

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math.ST2026

Classifier-Based Nonparametric Sequential Hypothesis Testing

Chia-Yu Hsu, Shubhanshu Shekhar

We consider the problem of constructing sequential power-one tests where the null and alternative classes are specified indirectly through historical or offline data. More specific…

math.ST2026

Tighter Confidence Intervals under Without Replacement Sampling via Empirical Rate Functions

Shubhanshu Shekhar, Aaditya Ramdas

We consider the problem of constructing confidence intervals (CIs) for the population mean of $N$ values ${x_{1}, \dots, x_{N}} \subset Σ^{N}$ based on a random sample of size $n$ , de…

math.ST2025

Active Nonparametric Two-Sample Testing by Betting on Heterogeneous Data Sources

Chia-Yu Hsu, Shubhanshu Shekhar

We study the problem of active nonparametric sequential two-sample testing over multiple heterogeneous data sources. In each time slot, a decision-maker adaptively selects one of $…

math.ST2025

Optimal Anytime-Valid Tests for Composite Nulls

Shubhanshu Shekhar

We consider the problem of designing optimal level- $α$ power-one tests for composite nulls. Given a parameter $α \in (0, 1)$ and a stream of $X$ -valued observations $\{X_n:…