Maqola

Mean value of the part of the perimeter of a convex hull generated by a Poisson point process

Isakjan KhamdamovUniversity of Public Safety of the Republic of UzbekistanKh. M. MamatovUniversity of Public Safety of the Republic of UzbekistanZoya S. ChayTashkent University of Information Technologies; Tashkent International University of EducationE. R. TadjikhodjayevaTashkent International University of Education

Izvestiya Vysshikh Uchebnykh Zavedenii Matematikajournal2025

ABI

Annotatsiya

This paper investigates vertex processes of the convex hull generated by inhomogeneous Poisson point processes within a parabola in the plane. Using distribution laws and the conditional distribution of the vertex processes, a stationary Markov process is constructed to find an exact expression for the mathematical expectation of the part of the perimeter between the initial vertices of the convex hull.

Mavzular

Point processes and geometric inequalities Random Matrices and Applications Diffusion and Search Dynamics

Identifikatorlar

DOI: 10.26907/0021-3446-2025-11-89-96

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