Journal of Statistical Theory and Applications

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Volume 13, Issue 1, March 2014, Pages 83 - 85

A characterization of the normal distribution

Authors
Hans Volkmer
Corresponding Author
Hans Volkmer
Received 6 December 2013, Accepted 18 December 2013, Available Online 31 March 2014.
DOI
10.2991/jsta.2014.13.1.7How to use a DOI?
Keywords
Characterization, normal distribution, characteristic function
Abstract

It is shown that the normal distribution with mean zero is characterized by the property that the product of its characteristic function and moment generating function is equal to 1.

Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
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Journal
Journal of Statistical Theory and Applications
Volume-Issue
13 - 1
Pages
83 - 85
Publication Date
2014/03/31
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2014.13.1.7How to use a DOI?
Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Hans Volkmer
PY  - 2014
DA  - 2014/03/31
TI  - A characterization of the normal distribution
JO  - Journal of Statistical Theory and Applications
SP  - 83
EP  - 85
VL  - 13
IS  - 1
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2014.13.1.7
DO  - 10.2991/jsta.2014.13.1.7
ID  - Volkmer2014
ER  -