Certain Two-Dimensional Local Limit Theorems with Applications to the Statistics of Convex Polygons

4 Pages Posted: 8 Mar 2020

Date Written: February 11, 2020

Abstract

The work is devoted to asymptotic properties of the ensemble of integer convex broken lines with respect to some classes of probability distributions generated by multiplicative measures.

Keywords: Convex lattice polygonal line; Limit shape; Multiplicative measures; Local limit theorem

JEL Classification: C25

Suggested Citation

Zarbaliev, Sakhavet, Certain Two-Dimensional Local Limit Theorems with Applications to the Statistics of Convex Polygons (February 11, 2020). Available at SSRN: https://ssrn.com/abstract=3536633 or http://dx.doi.org/10.2139/ssrn.3536633

Sakhavet Zarbaliev (Contact Author)

MGIMO ( email )

Prospekt Vernadskogo 76, Moscow 119454, Russia
Moscow, 119454
Russia

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