T. Moseeva

most citedDistribution of the Volume of Weighted Gaussian Simplex

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math.PR2020

Random sections of spherical convex bodies

Tatiana Moseeva, Alexander Tarasov, Dmitry Zaporozhets

Let $K \subset S^{d - 1}$ be a convex spherical body. Denote by $Δ (K)$ the distance between two random points in $K$ and denote by $σ (K)$ the length of a random chord of $K$ . W…

math.PR2020★ 1 cited

Distribution of the Volume of Weighted Gaussian Simplex

Tatiana Moseeva

Let $X_{0}, \dots, X_{l}$ be independent standard Gaussian vectors in $R^{d}$ such that $l ⩽ d$ . We derive an explicit formula for the distribution of the volume of wei…