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Convex Hulls of Random Vectors with Regularly Varying Distribution
Journal of Mathematical Sciences. 2024. Vol. 286. P. 782–797.
Simarova E.
Translator: Simarova E.
We express the property of a random vector to have a regularly varying distribution in terms of the weak convergence of the convex hull of its normalized independent copies to the convex hull of the Poisson point process.
Keywords: выпуклая оболочкаслабая сходимость мерPoisson point processMeasure, weak convergenceэкстремальные значенияconvex hullvague convergencerandom measureослабленная сходимостьправильно меняющееся распределениеслучайная мера regularly varying distribution extreme valuesПуассоновский точечный процесс
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We express the property of a random vector to have a regularly varying
distribution in terms of the weak convergence of the convex hull of its
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process. ...
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