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
ABI
Аннотация
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.
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