Chentsov's theorem

In

See also

• Fisher information
• Sufficient statistic
• Information geometry

References

• N. N. Čencov (1981), Statistical Decision Rules and Optimal Inference, Translations of mathematical monographs; v. 53, American Mathematical Society, http://www.ams.org/books/mmono/053/
• Shun'ichi Amari, Hiroshi Nagaoka (2000) Methods of information geometry, Translations of mathematical monographs; v. 191, American Mathematical Society, http://www.ams.org/books/mmono/191/ (Theorem 2.6)
• Dowty, James G. (2018). "Chentsov's theorem for exponential families". Information Geometry. 1 (1): 117-135.
  doi:10.1007/s41884-018-0006-4
  .
• Fujiwara, Akio (2022). "Hommage to Chentsov's theorem". Info. Geo. 7: 79–98.
  doi:10.1007/s41884-022-00077-7
  .