Capturing, Ordering and Gaussianity in 2D
Steven Finch
TL;DR
This paper explores properties of random Gaussian quadrilaterals in the plane, focusing on their geometric features, density functions, and Gaussianity, revealing non-standard behaviors such as non-Rayleigh densities for certain sides.
Contribution
It provides new insights into the geometric and probabilistic properties of Gaussian quadrilaterals, including density characterizations and Gaussianity aspects.
Findings
A side of a degenerate quadrilateral has a non-Rayleigh density.
Various facts about Gaussian quadrilaterals are collected and analyzed.
The paper highlights non-Gaussian behaviors in certain geometric configurations.
Abstract
We collect various facts related loosely to random Gaussian quadrilaterals in the plane. For example, a side of a degenerate quadrilateral (one point inside three others) has a density that is non-Rayleigh.
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Taxonomy
TopicsPoint processes and geometric inequalities · Advanced Statistical Methods and Models · Bayesian Methods and Mixture Models