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Conjecture that smooth densities ensure continuity of the granulometric radius
Let $M$ be a Riemannian manifold under Assumptions M, let $X$ be a random point on $M$ with density function $f$ satisfying Assumptions L, and let $r_0(\lambda)$ be the population…
Conjectureopendensity-estimation granulometry manifold-statisticsarXiv posted 2 days ago
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Conjecture that smooth densities satisfy granulometric regularity assumptions on manifolds
Let $M$ be a Riemannian manifold under Assumptions M, and let $f:M\rightarrow\mathbb{R}$ be a density function satisfying the conditions of Proposition: for some…
Conjectureopendensity-estimation level-sets manifold-statisticsarXiv posted 2 days ago

Conjecture that smooth densities ensure continuity of the granulometric radius