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Distributions of Second Order Polynomials in Gaussian Random Variables.
- Source :
- Mathematical Notes; Feb2022, Vol. 111 Issue 1/2, p71-81, 11p
- Publication Year :
- 2022
-
Abstract
- In this paper, we study bounds for the total variation distance between distributions of second order polynomials in normal random variables provided that they essentially depend on at least three variables. Moreover, we partially extend some recent bounds for the Kolmogorov distance between the distributions of norms of Gaussian random vectors to the case of the total variation distance. [ABSTRACT FROM AUTHOR]
- Subjects :
- POLYNOMIALS
GAUSSIAN distribution
GAUSSIAN measures
RANDOM variables
Subjects
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 111
- Issue :
- 1/2
- Database :
- Complementary Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 155397446
- Full Text :
- https://doi.org/10.1134/S0001434622010084