On a multivariate generalization of the covariance

ABSTRACT: Hoeffding’s lemma provides a representation of the covariance of two random variables in terms of the difference between the joint and marginal distributions. This article proposes a multivariate generalization of the covariance between functions of bounded variation in the semialgebra of...

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Autores:
Díaz, Walter
Cuadras, Carles M.
Tipo de recurso:
Article of journal
Fecha de publicación:
2017
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/31550
Acceso en línea:
https://hdl.handle.net/10495/31550
Palabra clave:
Functions of bounded variation
Covariance of functions
Hoeffding’s lemma
https://lccn.loc.gov/sh85052355
Rights
openAccess
License
http://purl.org/coar/access_right/c_abf2
Description
Summary:ABSTRACT: Hoeffding’s lemma provides a representation of the covariance of two random variables in terms of the difference between the joint and marginal distributions. This article proposes a multivariate generalization of the covariance between functions of bounded variation in the semialgebra of rectangles on R2k. Some applications include the covariance inequality among functions where the variables are positive orthant dependent.