Affinity between complex distribution functions.

Antonio Dorival Campos

Trabajos de Estadística (1987)

  • Volume: 2, Issue: 2, page 41-53
  • ISSN: 0213-8190

Abstract

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By analogy to the real case established by Matusita (1955) we introduce the concept of affinity between two complex distribution functions. We also establish a concrete expression for the affinity between two complex k-variate normal distributions when the covariance matrices assume a special form. Generalizations of these results are presented and the expressions here obtained are compared with those obtained by Matusita (1966, 1967) relative to the affinity between real k-variate normal distributions.

How to cite

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Dorival Campos, Antonio. "Affinity between complex distribution functions.." Trabajos de Estadística 2.2 (1987): 41-53. <http://eudml.org/doc/40500>.

@article{DorivalCampos1987,
abstract = {By analogy to the real case established by Matusita (1955) we introduce the concept of affinity between two complex distribution functions. We also establish a concrete expression for the affinity between two complex k-variate normal distributions when the covariance matrices assume a special form. Generalizations of these results are presented and the expressions here obtained are compared with those obtained by Matusita (1966, 1967) relative to the affinity between real k-variate normal distributions.},
author = {Dorival Campos, Antonio},
journal = {Trabajos de Estadística},
keywords = {Distribuciones complejas; Afinidad; Distribuciones multivariantes; Relaciones; distance; complex inner product; complex conjugate; Hermitian matrix; affinity; complex distribution functions; normal distributions; covariance matrices},
language = {eng},
number = {2},
pages = {41-53},
title = {Affinity between complex distribution functions.},
url = {http://eudml.org/doc/40500},
volume = {2},
year = {1987},
}

TY - JOUR
AU - Dorival Campos, Antonio
TI - Affinity between complex distribution functions.
JO - Trabajos de Estadística
PY - 1987
VL - 2
IS - 2
SP - 41
EP - 53
AB - By analogy to the real case established by Matusita (1955) we introduce the concept of affinity between two complex distribution functions. We also establish a concrete expression for the affinity between two complex k-variate normal distributions when the covariance matrices assume a special form. Generalizations of these results are presented and the expressions here obtained are compared with those obtained by Matusita (1966, 1967) relative to the affinity between real k-variate normal distributions.
LA - eng
KW - Distribuciones complejas; Afinidad; Distribuciones multivariantes; Relaciones; distance; complex inner product; complex conjugate; Hermitian matrix; affinity; complex distribution functions; normal distributions; covariance matrices
UR - http://eudml.org/doc/40500
ER -

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