The Foundations of Statistics

Front Cover
Courier Corporation, 1972 - Mathematics - 310 pages
3 Reviews
Classic analysis of the foundations of statistics and development of personal probability, one of the greatest controversies in modern statistical thought. Revised edition. Calculus, probability, statistics, and Boolean algebra are recommended.
 

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Contents

Postulates of a personalistic theory of decision End papers
1
PsasoNAL PnoBABILITY
27
irs on PnnsoxaL Paosaamrrr
53
UnLrrY
71
10
109
PARTITIoN PnoaLsus
116
13
132
17
139
Mixed acts in statistics
217
Ponrr ESTIMATIoN 1 Introduction
220
27
221
Criteria that have been proposed for point estimates
223
A behavioralistic review of the criteria for point estimation I
229
A behavioralistic review continued
234
A behavioralistic review concluded
244
Tnsrmo 1 Introduction
246

Srarrsrrcs
154
PaaaLLausu BETWEEN THE Mrsruax TaroRY AND ran TuaoRr
178
Tan IAIHEhlAlICS or MiNruax PaoaLaus
184
Bilinear games
186
An example of a bilinear game
189
Bilinear games exhibiting symmetry
193
Mr m x Rows 1 Introduction
200
Utility and the minimax rule
201
Almost subminimax acts
203
The minimax rule does not generate a simple ordering
205
0 T0 OnsnnvxrroNs 1 Introduction
208
Suficient statistics
212
The approach to certainty
214
Sequential probability ratio procedues
215
Randomization
216
A theory of testing
247
Testing in practice
252
IrrrznvaL EsrlmanoN AND RELATED Torres 1 Estimates of the accuracy of estimates
257
Interval estimation and confidence intervals
259
Tolerance intervals
262
cnn VALUE
263
Convex FUNcrIoNS
266
aLu
270
43
271
Bmuocaarnrc SoreLzmsrvr
283
TzcnmcaL SYMBoLS
299
Arrrnoa Irmax
301
Gasaan Isosx
305
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