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91:, Translations of mathematical monographs; v. 191, American Mathematical Society,
81:, Translations of mathematical monographs; v. 53, American Mathematical Society,
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Dowty, James G. (2018). "Chentsov's theorem for exponential families".
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82:
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79:Statistical Decision Rules and Optimal Inference
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87:Shun'ichi Amari, Hiroshi Nagaoka (2000)
43:The theorem is named after its inventor
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93:http://www.ams.org/books/mmono/191/
83:http://www.ams.org/books/mmono/053/
13:
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28:is, up to rescaling, the unique
132:"Hommage to Chentsov's theorem"
89:Methods of information geometry
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7:
49:
10:
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149:10.1007/s41884-022-00077-7
123:10.1007/s41884-018-0006-4
26:Fisher information metric
36:that is invariant under
130:Fujiwara, Akio (2022).
167:Differential geometry
77:N. N. Čencov (1981),
38:sufficient statistics
177:Statistical distance
172:Information geometry
101:Information Geometry
66:Information geometry
61:Sufficient statistic
34:statistical manifold
18:information geometry
56:Fisher information
22:Chentsov's theorem
30:Riemannian metric
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45:Nikolai Chentsov
24:states that the
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107:(1): 117-135.
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95:(Theorem 2.6)
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161:Categories
114:1701.08895
72:References
142:: 79–98.
136:Info. Geo
50:See also
109:arXiv
32:on a
144:doi
119:doi
16:In
163::
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20:,
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140:7
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