Home > Search Results: keywords:"Random polygons|Asymptotic convergence|Approximation of π|Central limit theorem"
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National Repository of Grey Literature 1 records found  Search took 0.03 seconds. 
Random inscribed polygons
 Kantor, Matěj ; Pawlas, Zbyněk (advisor) ; Nagy, Stanislav (referee)
In this work we study randomly inscribed polygons into the unit circle, par- ticularly the asymptotic properties of their area and perimeter. The results show that area, perimeter and their expected values can be used to approximate the number π. Further we present several approaches for improving the rate of conver- gence of these approximations. Some of which are based on constructing suitable 2n-sided random polygons together with combining different areas and perime- ters. Briefly we show a couple of results for a generalized d-dimensional case. Finally we verify the validity of the studied theoretical results on specific experi- ments implemented in the Matlab environment. 1
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