Admissible anytime-valid sequential inference must rely on nonnegative martingales

A Ramdas, J Ruf, M Larsson, W Koolen - arXiv preprint arXiv:2009.03167, 2020 - arxiv.org
Confidence sequences, anytime p-values (called p-processes in this paper), and e-
processes all enable sequential inference for composite and nonparametric classes of …

An information-theoretic lower bound in time-uniform estimation

J Duchi, S Haque - The Thirty Seventh Annual Conference …, 2024 - proceedings.mlr.press
We present an information-theoretic lower bound for the problem of parameter estimation
with time-uniform coverage guarantees. We use a reduction to sequential testing to obtain …

On Semi-Supervised Estimation of Distributions

HSM Erol, E Sula, L Zheng - 2023 IEEE International …, 2023 - ieeexplore.ieee.org
We study the problem of estimating the joint probability mass function (pmf) over two random
variables. In particular, the estimation is based on the observation of m samples containing …