On some properties of vertex processes of random convex hulls.

Autor:	Formanov, Shakir, Khamdamov, Isakjan, Aloev, Rakhmatillo D., Shadimetov, Kholmat M., Hayotov, Abdullo R., Khudoyberganov, Mirzoali U.
Předmět:	STOCHASTIC processes CENTRAL limit theorem POISSON processes RANDOM variables CONVEX sets CONVEX bodies RANDOM graphs POINT processes
Zdroj:	AIP Conference Proceedings; 2021, Vol. 2365 Issue 1, p1-6, 6p
Abstrakt:	Consider a convex hull generated by a homogeneous Poisson point process in a cone on the plane. In this paper, we present a result that the area of bounded perimeters of the convex hull and the support boundary of the distribution in the cone is the sum of independent identically distributed random variables. In addition, we prove the central limit theorem for the number of vertices of the convex hull in a cone bounded by a disk of radius T as T → ∞. The known results of [1] coincide with the results obtained in the paper. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu