11 problems

Compact-support conjecture. The compact-support assumption on $b$ can be dropped from this conclusion.

Gaussianity conjecture. We conjecture that when

Conjecture on global clustering's limitations. A potential reason for inadequate performance of global clustering approaches in high-dimensional settings may be their inability to…

Conjecture. The lower bound in Theorem $$ is not tight.

Let $X$ be the random element under study, let $\Pi^q X$ denote its $q$-dimensional score vector, and let $L_n^q$ be the maximum nearest-neighbor indegree among the corresponding s…

Let $D[0,\tau]$ denote the space of càdlàg processes, and consider the distributions of such processes. Let Assumption be the continuity assumption specified in the paper, and let…

Adaptation conjecture. Subject to appropriate modifications, the suggested basic resampling algorithm can be adapted to different testing problems concerning comparisons of populat…

Let $M_n=\max\bigl(\lvert X_1\rvert,\lvert X_2\rvert,\ldots,\lvert X_n\rvert\bigr)$, and suppose the conditions under which Theorem 1 holds, including the relevant assumptions on t…

Asymptotic equivalence conjecture. If the components $f_{i\ell}$ in have a symmetric distribution, then the asymptotic behaviour of…

A linear process is understood in the setting above, with coefficient operators whose appropriate summability is assumed, and with finite moments as specified below. Four-moment su…

Let $X(t)$ be a general elliptically contoured process, and let (ii) of Theorem be the asserted result for the Gaussian case. Extension conjecture. The conclusion of (ii) of Theore…