Asymmetric Topologies on Statistical Manifolds

Author:

Belavkin Roman V.

Publisher

Springer International Publishing

Reference16 articles.

1. Kullback, S., Leibler, R.A.: On information and sufficiency. Ann. Math. Stat. 22(1), 79–86 (1951)

2. Chentsov, N.N.: A nonsymmetric distance between probability distributions, entropy and the Pythagorean theorem. Math. notes Acad. Sci. USSR 4(3), 323–332 (1968)

3. Chentsov, N.N.: Statistical decision rules and optimal inference. Nauka, Moscow, U.S.S.R. In: Russian, English translation: Providence, p. 1982. AMS, RI (1972)

4. Morozova, E.A., Chentsov, N.N.: Natural geometry of families of probability laws. In: Prokhorov, Y.V. (ed.) Probability Theory 8. Volume 83 of Itogi Nauki i Tekhniki, pp. 133–265. VINITI, Russian (1991)

5. Fletcher, P., Lindgren, W.F.: Quasi-uniform spaces. Lecture notes in pure and applied mathematics. Vol. 77, Marcel Dekker, New York (1982)

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