Hiroshima Mathematical Journal

Geometry of minimum contrast

Shinto Eguchi
Source: Hiroshima Math. J. Volume 22, Number 3 (1992), 631-647.
First Page: Show Hide
Primary Subjects: 62B10
Secondary Subjects: 62A99
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.hmj/1206128508
Mathematical Reviews number (MathSciNet): MR1194056
Zentralblatt MATH identifier: 0780.53015

References

[1] S.-I. Amari, Differential-Geometrical methods in Statistics, Lecture Note in Statistics. 28, Springer Verlag (1985).
Zentralblatt MATH: 0559.62001
Mathematical Reviews (MathSciNet): MR788689
[2] S. Eguchi, A differential geometric approach to statistical inference on the basis of contrast functions, Hiroshima Math. J. 15 (1985), 341-391.
Zentralblatt MATH: 0625.62004
Mathematical Reviews (MathSciNet): MR805058
[3] S. Kobayashi and K. Nomizu, Foundations of differential geometry, Wiley, New York (1963).
Zentralblatt MATH: 0175.48504
[4] S. L. Lauritzen, Statistical Manifolds, Institute of Mathematical Statistics-Monograph series. 10 (1987), 96-163.
[5] O. Loos, Symmetric space, Benjamine, New York (1969).
Zentralblatt MATH: 0175.48601
[6] H. Nagaoka and S. -I.Amari, Differential geometry of smooth families of probability distributions, METR 82-7, University of Tokyo (1982).

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