5 problems

Let $\theta_0$ be the true Bernoulli parameter, let $\theta^x$ denote the MDL prediction based on the observed sequence, let $K(\theta_0)$ be the prefix Kolmogorov complexity of…

Snake-chain equality conjecture. The inequality in the statement of the snake Markov-chain lemma is, in fact, an equality.

Joint-inspection cheating conjecture. Allowing a method to look at too many test data points at once—for example, more than one—may constitute “cheating”, at least when evaluating…

Let $\boldsymbol y=\mathbf X\boldsymbol{\beta}^*+\boldsymbol{\xi}$ be a Gaussian linear regression model with deterministic design matrix $\mathbf X\in\mathbb{R}^{n\times p}$, and…

Let $Z$ be the process under consideration, let $N_\varepsilon$ be a nonempty set of observations approaching the prediction location, and let $F_\varepsilon$ denote the additional…