4 problems

Stopping-time mutual-information tightness conjecture. The achievability result for $I_{t,\mathrm{E}}^\star$ is tight; equivalently, its lower bound cannot be improved in general.…

A multihypothesis sequential probability ratio test is a sequential decision procedure for distinguishing among multiple hypotheses using accumulated observations and likelihood ra…

A lazy restless bandit has a belief state $\pi$ and subsidy $\eta$; let $\rho_0,\rho_1$ denote the relevant state-transition parameters, let $R_0,R_1$ denote the rewards associated…

Let $N=2$ and suppose the conditional densities of the observation $Y$ given hypotheses $H=0$ and $H=1$ are … … where $\sigma$ and $h_1$ are arbitrary positive numbers, and let…