An exploratory canonical analysis approach for multinomial populations based on the φ -divergence measure

Julio A. Pardo; Leandro Pardo; María Del Carmen Pardo; K. Zografos

Kybernetika (2004)

  • Volume: 40, Issue: 6, page [757]-776
  • ISSN: 0023-5954

Abstract

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In this paper we consider an exploratory canonical analysis approach for multinomial population based on the φ -divergence measure. We define the restricted minimum φ -divergence estimator, which is seen to be a generalization of the restricted maximum likelihood estimator. This estimator is then used in φ -divergence goodness-of-fit statistics which is the basis of two new families of statistics for solving the problem of selecting the number of significant correlations as well as the appropriateness of the model.

How to cite

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Pardo, Julio A., et al. "An exploratory canonical analysis approach for multinomial populations based on the $\phi $-divergence measure." Kybernetika 40.6 (2004): [757]-776. <http://eudml.org/doc/33734>.

@article{Pardo2004,
abstract = {In this paper we consider an exploratory canonical analysis approach for multinomial population based on the $\phi $-divergence measure. We define the restricted minimum $\phi $-divergence estimator, which is seen to be a generalization of the restricted maximum likelihood estimator. This estimator is then used in $\phi $-divergence goodness-of-fit statistics which is the basis of two new families of statistics for solving the problem of selecting the number of significant correlations as well as the appropriateness of the model.},
author = {Pardo, Julio A., Pardo, Leandro, Pardo, María Del Carmen, Zografos, K.},
journal = {Kybernetika},
keywords = {canonical analysis; restricted minimum $\phi $-divergence estimator; minimum $\phi $-divergence statistic; simulation; power divergence; restricted minimum -divergence estimator; minimum -divergence statistic; simulations},
language = {eng},
number = {6},
pages = {[757]-776},
publisher = {Institute of Information Theory and Automation AS CR},
title = {An exploratory canonical analysis approach for multinomial populations based on the $\phi $-divergence measure},
url = {http://eudml.org/doc/33734},
volume = {40},
year = {2004},
}

TY - JOUR
AU - Pardo, Julio A.
AU - Pardo, Leandro
AU - Pardo, María Del Carmen
AU - Zografos, K.
TI - An exploratory canonical analysis approach for multinomial populations based on the $\phi $-divergence measure
JO - Kybernetika
PY - 2004
PB - Institute of Information Theory and Automation AS CR
VL - 40
IS - 6
SP - [757]
EP - 776
AB - In this paper we consider an exploratory canonical analysis approach for multinomial population based on the $\phi $-divergence measure. We define the restricted minimum $\phi $-divergence estimator, which is seen to be a generalization of the restricted maximum likelihood estimator. This estimator is then used in $\phi $-divergence goodness-of-fit statistics which is the basis of two new families of statistics for solving the problem of selecting the number of significant correlations as well as the appropriateness of the model.
LA - eng
KW - canonical analysis; restricted minimum $\phi $-divergence estimator; minimum $\phi $-divergence statistic; simulation; power divergence; restricted minimum -divergence estimator; minimum -divergence statistic; simulations
UR - http://eudml.org/doc/33734
ER -

References

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