2 problems

Let $X$ be Bernoulli with $P(X=1)=p=1-q=P(X=0)$, assume $p\geq q$, and constrain the independent noise $Y$ by $\operatorname{var}(Y)\leq\varepsilon$. For sufficiently small…

Let $X$ be a random variable with finite variance, let $Y$ be an independent noise variable, and define … Prediction monotonicity conjecture. One might conjecture that adding more…