Science-advisor
REGISTER info/FAQ
Login
username
password
     
forgot password?
register here
 
Research articles
  search articles
  reviews guidelines
  reviews
  articles index
My Pages
my alerts
  my messages
  my reviews
  my favorites
 
 
Stat
Members: 3643
Articles: 2'488'730
Articles rated: 2609

29 March 2024
 
  » arxiv » 1204.4041

 Article overview


Multidimensional polynomial Euler products and infinitely divisible distributions on R^d
Takahiro Aoyama ; Takashi Nakamura ;
Date 18 Apr 2012
AbstractIt is known to be difficult to find out whether a certain multivariable function to be a characteristic function when its corresponding measure is not tirivial to be or not to be a probability measure on R^d. Such results were not obtained for a long while. In this paper, multidimensional polynomial Euler product is defined as a generalization of the polynomial Euler product. By applying the Kronecker’s approximation theorem, a necessary and sufficient condition for some polynomial Euler products to generate characteristic functions is given. Furthermore, by using the Baker’s theorem, that of some multidimensional polynomial Euler products is also given. As one of the most important properties of probability distributions, the infinite divisibility of them is studied as well.
Source arXiv, 1204.4041
Services Forum | Review | PDF | Favorites   
 
Visitor rating: did you like this article? no 1   2   3   4   5   yes

No review found.
 Did you like this article?

This article or document is ...
important:
of broad interest:
readable:
new:
correct:
Global appreciation:

  Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.

browser claudebot






ScienXe.org
» my Online CV
» Free


News, job offers and information for researchers and scientists:
home  |  contact  |  terms of use  |  sitemap
Copyright © 2005-2024 - Scimetrica