Models & Optimisation and Mathematical Analysis Journal
Volume 8, Numéro 1, Pages 36-41

Appropriate Probability Density Function Of Convex Bodies

Authors : خالد عبد السلام عطيه اسماعيل خالد .


Abstract: We investigate under the notion of Large Deviation Principle & Concentration of Measure as a technique the ability of estimating the probability density function of any random vector in the space R^n. We found that an appropriate probability distribution for any convex body in the space is sub – Gaussian.


Key words: Probability density function, concentration of measure, large deviation principle, Gaussian distribution.