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About the Upper Bound of the Chiral Index of Multivariate Distributions
Author(s) -
Michel Petitjean,
Marcelo de Souza Lauretto,
Carlos Alberto de Bragança Pereira,
Julio Michael Stern
Publication year - 2008
Publication title -
aip conference proceedings
Language(s) - English
Resource type - Conference proceedings
SCImago Journal Rank - 0.177
H-Index - 75
eISSN - 1551-7616
pISSN - 0094-243X
DOI - 10.1063/1.3039023
Subject(s) - upper and lower bounds , index (typography) , multivariate statistics , mathematics , dimension (graph theory) , constant (computer programming) , interval (graph theory) , combinatorics , physics , statistics , mathematical analysis , computer science , world wide web , programming language
A family of distributions in R^ having a chiral index greater or equal to a constant arbitrarily close to 1 /2 is exhibited. It is deduced that the upper bound of the chiral index lies in the interval (1/2; 1), for any dimension d.

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