The natural vector bundle of the set of multivariate density functions

Authors

  • E. Marchi UNSL - CONICET.
  • P. M. Morillas UNSL - CONICET.

DOI:

https://doi.org/10.4067/S0716-09172005000300004

Keywords:

Multivariate density function, Marginals, Vector bundle.

Abstract

We find a description of the set of multivariate density functions with given marginals and introduce an associated vector bundle. The interest for the probability theory is restricted to the nonnegative elements in the sets of the derived vector bundle. The fiber is the space of all correlation measures among a multivariate density function and its unidimensional marginals. 

Author Biographies

E. Marchi, UNSL - CONICET.

Instituto de Matemática Aplicada San Luis. 

P. M. Morillas, UNSL - CONICET.

Instituto de Matemática Aplicada San Luis. 

References

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Published

2017-04-20

How to Cite

[1]
E. Marchi and P. M. Morillas, “The natural vector bundle of the set of multivariate density functions”, Proyecciones (Antofagasta, On line), vol. 24, no. 3, pp. 239-255, Apr. 2017.

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Section

Artículos