Probability Theory: The Logic of Science

Front Cover
Cambridge University Press, Apr 10, 2003 - Science - 727 pages
The standard rules of probability can be interpreted as uniquely valid principles in logic. In this book, E. T. Jaynes dispels the imaginary distinction between 'probability theory' and 'statistical inference', leaving a logical unity and simplicity, which provides greater technical power and flexibility in applications. This book goes beyond the conventional mathematics of probability theory, viewing the subject in a wider context. New results are discussed, along with applications of probability theory to a wide variety of problems in physics, mathematics, economics, chemistry and biology. It contains many exercises and problems, and is suitable for use as a textbook on graduate level courses involving data analysis. The material is aimed at readers who are already familiar with applied mathematics at an advanced undergraduate level or higher. The book will be of interest to scientists working in any area where inference from incomplete information is necessary.
 

Contents

IV
3
V
6
VI
7
VII
8
VIII
9
IX
12
X
17
XI
19
CLXXI
341
CLXXII
343
CLXXIII
345
CLXXIV
346
CLXXV
351
CLXXVI
354
CLXXVII
355
CLXXVIII
358

XII
21
XIII
23
XIV
24
XVI
30
XVII
35
XVIII
37
XIX
43
XX
44
XXII
45
XXIII
47
XXIV
49
XXV
51
XXVI
52
XXVII
60
XXVIII
64
XXIX
66
XXX
68
XXXII
69
XXXIII
72
XXXIV
73
XXXV
75
XXXVI
81
XXXVII
82
XXXVIII
84
XXXIX
86
XL
87
XLI
90
XLII
97
XLIII
98
XLIV
101
XLV
107
XLVI
109
XLVII
112
XLVIII
115
XLIX
116
L
117
LI
119
LIII
120
LIV
122
LVI
126
LVII
132
LVIII
133
LIX
135
LX
137
LXI
140
LXII
142
LXIII
143
LXIV
144
LXV
146
LXVI
148
LXVII
149
LXVIII
150
LXIX
152
LXX
154
LXXI
157
LXXII
158
LXXIII
160
LXXIV
163
LXXVI
166
LXXVII
167
LXXVIII
168
LXXIX
172
LXXX
177
LXXXI
178
LXXXII
179
LXXXIII
181
LXXXIV
183
LXXXV
186
LXXXVII
188
LXXXVIII
190
LXXXIX
192
XC
193
XCI
195
XCII
198
XCIII
199
XCIV
200
XCV
202
XCVI
203
XCVII
205
XCVIII
207
XCIX
210
C
211
CI
213
CII
215
CIII
216
CIV
218
CV
219
CVI
220
CVII
221
CVIII
222
CIX
224
CX
227
CXI
229
CXII
231
CXIII
233
CXIV
234
CXV
235
CXVI
236
CXVII
238
CXVIII
239
CXIX
240
CXX
243
CXXI
245
CXXII
246
CXXIII
247
CXXIV
248
CXXV
249
CXXVI
250
CXXVII
253
CXXVIII
254
CXXIX
256
CXXX
257
CXXXI
260
CXXXII
261
CXXXIII
262
CXXXIV
264
CXXXVI
266
CXXXVII
267
CXXXIX
270
CXL
271
CXLI
274
CXLII
276
CXLIII
277
CXLIV
280
CXLV
281
CXLVI
282
CXLVII
285
CXLVIII
289
CXLIX
290
CL
292
CLI
293
CLII
296
CLIII
300
CLIV
302
CLV
304
CLVI
305
CLVII
310
CLVIII
312
CLIX
314
CLX
315
CLXI
317
CLXII
320
CLXIII
321
CLXIV
324
CLXV
326
CLXVI
327
CLXVII
329
CLXVIII
331
CLXIX
335
CLXX
338
CLXXIX
365
CLXXX
370
CLXXXI
372
CLXXXII
374
CLXXXIV
378
CLXXXVI
382
CLXXXVIII
386
CLXXXIX
394
CXC
397
CXCI
398
CXCII
400
CXCIII
402
CXCV
404
CXCVI
406
CXCVII
410
CXCVIII
412
CXCIX
415
CC
417
CCI
418
CCII
421
CCIII
423
CCV
424
CCVI
426
CCVII
428
CCVIII
430
CCIX
432
CCX
437
CCXI
438
CCXII
439
CCXIII
440
CCXIV
443
CCXV
445
CCXVI
449
CCXVII
450
CCXVIII
451
CCXIX
452
CCXX
453
CCXXI
456
CCXXII
459
CCXXIII
464
CCXXIV
467
CCXXV
470
CCXXVI
474
CCXXVII
478
CCXXVIII
480
CCXXIX
483
CCXXX
484
CCXXXI
485
CCXXXII
486
CCXXXIII
490
CCXXXIV
492
CCXXXV
493
CCXXXVI
499
CCXXXVII
500
CCXXXVIII
503
CCXXXIX
505
CCXL
506
CCXLI
507
CCXLII
509
CCXLIII
510
CCXLIV
511
CCXLV
516
CCXLVI
518
CCXLVII
520
CCXLVIII
521
CCXLIX
527
CCL
531
CCLI
532
CCLIII
533
CCLIV
534
CCLV
535
CCLVI
536
CCLVII
540
CCLVIII
541
CCLIX
544
CCLX
545
CCLXI
550
CCLXII
553
CCLXIII
555
CCLXIV
557
CCLXV
559
CCLXVI
561
CCLXVII
563
CCLXVIII
566
CCLXIX
567
CCLXX
568
CCLXXII
571
CCLXXIII
573
CCLXXIV
574
CCLXXV
576
CCLXXVII
579
CCLXXIX
581
CCLXXX
586
CCLXXXI
588
CCLXXXII
589
CCLXXXIII
592
CCLXXXV
594
CCLXXXVI
595
CCLXXXVII
596
CCLXXXVIII
597
CCLXXXIX
599
CCXC
601
CCXCI
602
CCXCII
603
CCXCIII
604
CCXCV
605
CCXCVI
607
CCXCVII
608
CCXCVIII
613
CCXCIX
614
CCC
615
CCCI
617
CCCII
619
CCCIII
620
CCCIV
622
CCCV
624
CCCVI
625
CCCVII
627
CCCIX
628
CCCX
634
CCCXI
636
CCCXII
638
CCCXIII
641
CCCXIV
644
CCCXV
648
CCCXVI
651
CCCXVII
655
CCCXVIII
656
CCCXIX
658
CCCXX
659
CCCXXI
661
CCCXXII
662
CCCXXIII
663
CCCXXIV
665
CCCXXV
666
CCCXXVI
668
CCCXXVIII
669
CCCXXIX
671
CCCXXX
672
CCCXXXI
674
CCCXXXII
675
CCCXXXIII
677
CCCXXXIV
679
CCCXXXV
680
CCCXXXVI
683
CCCXXXVII
705
CCCXXXVIII
721
CCCXXXIX
724
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