Number of Regions Created by Random Chords in the Circle

Authors

Shi Feng, University of WashingtonFollow

Abstract

In this paper we discuss the number of regions in a unit circle after drawing n i.i.d. random chords in the circle according to a particular family of distribution. We find that as n goes to infinity, the distribution of the number of regions, properly shifted and scaled, converges to the standard normal distribution and the error can be bounded by Stein's method for proving Central Limit Theorem.

Author Bio

Shi Feng is an undergraduate student at the University of Washington, graduating in 2023. He is mainly interested in probability theory and plans to enter graduate study after graduation.

Faculty Sponsor

Soumik Pal

Recommended Citation

Feng, Shi (2023) "Number of Regions Created by Random Chords in the Circle," Rose-Hulman Undergraduate Mathematics Journal: Vol. 24: Iss. 2, Article 4.
Available at: https://scholar.rose-hulman.edu/rhumj/vol24/iss2/4