Modeling Particle Size Distribution in Lunar Regolith via a Central Limit Theorem for Random Sums

Modeling Particle Size Distribution in Lunar Regolith via a Central Limit Theorem for Random Sums

A version of the central limit theorem is proved for sums with a random number of independent and not necessarily identically distributed random variables in the double array limit scheme. It is demonstrated that arbitrary normal mixtures appear as the limit distribution. This result is used to subs...

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Bibliographic Details
Main Authors: Andrey Gorshenin, Victor Korolev, Alexander Zeifman
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Mathematics
Subjects:
central limit theorem
random sequence
random index
transfer theorem
random sum
random Lindeberg condition
Online Access:https://www.mdpi.com/2227-7390/8/9/1409

Internet

https://www.mdpi.com/2227-7390/8/9/1409

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