17:
177:
187:
182:
36:
48:
76:
71:
44:
28:
8:
119:
66:
40:
154:
129:
55:
102:, Translations of mathematical monographs; v. 191, American Mathematical Society,
92:, Translations of mathematical monographs; v. 53, American Mathematical Society,
159:
142:
133:
171:
110:
Dowty, James G. (2018). "Chentsov's theorem for exponential families".
103:
93:
124:
169:
90:Statistical Decision Rules and Optimal Inference
158:
123:
140:
98:Shun'ichi Amari, Hiroshi Nagaoka (2000)
54:The theorem is named after its inventor
14:
170:
109:
104:http://www.ams.org/books/mmono/191/
94:http://www.ams.org/books/mmono/053/
24:
25:
199:
39:is, up to rescaling, the unique
143:"Hommage to Chentsov's theorem"
100:Methods of information geometry
13:
1:
82:
7:
60:
10:
204:
160:10.1007/s41884-022-00077-7
134:10.1007/s41884-018-0006-4
37:Fisher information metric
47:that is invariant under
141:Fujiwara, Akio (2022).
178:Differential geometry
88:N. N. ÄŚencov (1981),
49:sufficient statistics
188:Statistical distance
183:Information geometry
112:Information Geometry
77:Information geometry
72:Sufficient statistic
45:statistical manifold
29:information geometry
67:Fisher information
33:Chentsov's theorem
18:Chentsov’s theorem
41:Riemannian metric
16:(Redirected from
195:
164:
162:
137:
127:
56:Nikolai Chentsov
35:states that the
21:
203:
202:
198:
197:
196:
194:
193:
192:
168:
167:
85:
63:
23:
22:
15:
12:
11:
5:
201:
191:
190:
185:
180:
166:
165:
138:
118:(1): 117-135.
107:
96:
84:
81:
80:
79:
74:
69:
62:
59:
9:
6:
4:
3:
2:
200:
189:
186:
184:
181:
179:
176:
175:
173:
161:
156:
152:
148:
144:
139:
135:
131:
126:
121:
117:
113:
108:
106:(Theorem 2.6)
105:
101:
97:
95:
91:
87:
86:
78:
75:
73:
70:
68:
65:
64:
58:
57:
52:
50:
46:
42:
38:
34:
30:
19:
150:
146:
115:
111:
99:
89:
53:
32:
26:
172:Categories
125:1701.08895
83:References
153:: 79–98.
147:Info. Geo
61:See also
120:arXiv
43:on a
155:doi
130:doi
27:In
174::
149:.
145:.
128:.
114:.
51:.
31:,
163:.
157::
151:7
136:.
132::
122::
116:1
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.