Central limit theorems under special relativity

Ian W. McKeague

doi:10.1016/j.spl.2014.12.028

Central limit theorems under special relativity

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Overview

4 Scopus Citations

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Author(s)

Ian W. McKeague

Detail(s)

Original language	English
Pages (from-to)	149-155
Journal / Publication	Statistics and Probability Letters
Volume	99
Publication status	Published - 1 Apr 2015
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1016/j.spl.2014.12.028 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84922589221&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(2334c877-7d69-439a-a817-dd32385d3126).html

Abstract

Several relativistic extensions of the Maxwell-Boltzmann distribution have been proposed, but they do not explain observed lognormal tail-behavior in the flux distribution of various astrophysical sources. Motivated by this question, extensions of classical central limit theorems are developed under the conditions of special relativity. The results are related to CLTs on locally compact Lie groups developed by Wehn, Stroock and Varadhan, but in this special case the asymptotic distribution has an explicit form that is readily seen to exhibit lognormal tail behavior.

Research Area(s)

Heavy-tailed distributions, Maxwell-Boltzmann, Ornstein-Uhlenbeck, Random walks on locally compact Lie groups, κ-deformations

Bibliographic Note

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