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Jeffreys H. — Theory of probability
Jeffreys H. — Theory of probability

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Название: Theory of probability

Автор: Jeffreys H.

Аннотация:

This textbook is an introduction to probability theory using measure theory. It is designed for graduate students in a variety of fields (mathematics, statistics, economics, management, finance, computer science, and engineering) who require a working knowledge of probability theory that is mathematically precise, but without excessive technicalities. The text provides complete proofs of all the essential introductory results. Nevertheless, the treatment is focused and accessible, with the measure theory and mathematical details presented in terms of intuitive probabilistic concepts, rather than as separate, imposing subjects. In this new edition, many exercises and small additional topics have been added and existing ones expanded. The text strikes an appropriate balance, rigorously developing probability theory while avoiding unnecessary detail.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2-nd edition

Год издания: 1948

Количество страниц: 416

Добавлена в каталог: 08.12.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$I_{m}$ defined      158
$\chi^{'2}$      170
$\chi^{2}$      85 87 363
$\chi^{2}$ with estimated standard errors      97
$\chi^{2}$, too small      281
$\theta$, definition      48
'Student'      94 122 205 219 271 350 364
A priori      8 29
Abbreviations x, dx      120
Accidents, factory      69 295
Accuracy, useful degree of      125 397
Adams, J.C.      389
Addition rule      19 30 33
Agreement, too close      281
Agricultural experiments      127 214 361
Aitken, John      60
Alternative hypothesis      220
Amoeba      6
Ancillary statistics      182
Applicability      8 9 11
Approximations      50 140 168 170 251
Argon      260
Arithmetic mean      84 92 107 189
Assent, universal      14 46
Atmospheric tide      307
Average residual      188
Barnes, E.W.      395
Bartlett, M.S.      41 53 147
Bateman, H.      59
Bayes, T.      29 30 34 42 102 107 109 374
Behaviourism      45 379
Belief      see "Confidence"
Benefit, expectation of      30
Bernoulli, Daniel      32
Bernoulli, James      52
Bias      143 177 231
Binomial law      50 56
Binomial, negative      68 77
Black, A.N.      174
Boltzmann      28 369
Bond, W.N.      288
Boys, C.V.      280
Broad, C.D.      5 26 111 112 115 372
Brown, E.W.      362
Brunt, D.      211 269
Bullard, E.C.      84 129 137
Bullen, K.E.      175
Burnside, W.      345
Campbell, N.R.      6 14 41
Cantelli, F.P.      55
Carnap, R.      20
Carroll, Lewis      45 220 305 407
Cauchy rule      78 81 170 189 244
Causality      12 108
Caution      273 287 381
Central limit theorem      79
Certainty on the data      17
Certainty, approach to      38 336
Chance      41 50 229
Chance, continuous distribution      301
Chance, games of      32 47
Chapman, S.      307
Characteristic function      73
Chauvenet      188 291 357
checking      139
Chesterton, G.K.      395
Combination of estimates      175
Combination of tests      305
Common sense      1
Comparison of chances      235
Comrie, L.J.      62
Confidence, reasonable degree of      15
Conjunction      18
Consistency      8 19 35 36 159 166 170 251 405
Continental drift      48
Contingency      211 232
Contingency, diagonal elements      332
Continuity      21 24
Continuous variation      227
Conventions      20 30
Correlation      71 152 263
Correlation, correction of      202
Correlation, internal      271 287 289 400
Correlation, intraclass      72 198 268 276 314
correlation, partial      328
Correlation, rank      204 268
Correlation, serial      170 227 328
Cournot, A.      374
Cramer, H.      80 343
Critical realism and idealism      46
Curvature of universe      304
Damoiseau      389
Data, need to state      15 27 350 377
de Moivre, A.      52 342
Deduction      1 3 17
Deduction as approximation      336
definitions      379
Degrees of freedom      89 128
Delauney      389
Density, probability      24
Design of experiments      97 214 361
Determinism      11
Deviation, standard      92 128
Diananda, P.H.      60 169
Dice      50 231 306 314
Digamma function      187
Dingle, H.      14 384
Dip, magnetic      84
Dirichlet integrals      87 116
Disjunction      18
Disjunction, separation of      41
Dodgson, C.L.      see "Carroll Lewis"
Dust counter      60 241
Earthquakes, aftershocks      325 334
Earthquakes, determination of epicentres      136
Earthquakes, identity of epicentres      322
Earthquakes, law of error      190
Earthquakes, periodicity      324
Earthquakes, travel times, P      175 202 273 299
Earthquakes, travel times, S and SKS      265
Economy of thought      4
Economy of thought of postulates      9 37 46 102 345 384
Edgeworth, F.Y.      108
Efficiency      145 179
Einstein, A.      362 386
Ellis, R.L.      345 374
Emmett, W.G.      365
Ensemble      11 341
Entailment      17 48
Epistemology      1 12 13
Equations of condition      133
Equations of condition, normal      133
Ergodic theory      371
Errors      12 13 see
Errors, accidental      270
Errors, composition of      74 79
Errors, independence of      286 see internal"
Errors, normal law      60 287
Errors, probable      62 124
Errors, standard      62
Errors, systematic      270 273
Errors, unknown law of      187
Estimation      99
Estimation, relation to significance      359
Euclid      8 40
exclusive      18
Exhaustive      18
Expectation of benefit      31 43
Expectation, mathematical      31 43 177 364
Expectation, moral      31
Explanation      303 390
Factorial function      51 239
Factory accidents      69 295
Fiducial argument      352
Fieller, E.C.      55
Fisher, R.A.      11 29 63 88 92 96 124 127 152 169 179 181 184 189 197 209 214 229 238 282 306 341 352 356 364
Franks, W.S.      211
Frechet, M.      371
Freedom, degrees of      89 128
Freeman, R.A.      100 392
Frequency definitions      11 34 342 372
Freud, S.      239
Functions, new      295
Functions, old      299
Gases, kinetic theory      28 369
Gauss, C.F.      14 62 84 103 133 190
Geiger, H.      59
Gender      239
Generalization (empirical propositions)      1 3
Generalization (logical propositions)      7 26
George, W.H.      12
Gibbs, Willard      11 341 369
Glaisher      390
Goedel, K.      35 56
Gosset, W.L.      see "'Student'"
Grades      206 210
Gravitation, constant of      280
Gravitation, law of      362
Gravity      129 137 198
Greenwood, M.      69
GROUPING      136 184 193 326
H (definition)      48
Haldane, J.B.S.      107 120 162
Heisenberg, H.      14
Heyl, P.R.      280
hilbert      10
Hill, G.W.      362
Horse, kicks by      59 71 295
Hulme, H.R.      288
Idealism      49 393
Ignorance      34 101 220 222 353
Implication      17 48
Impossibility      17
Induction      1 8
Infinite population      11 341 345
Infinite regress      112 116 375 407
Inoculation      239 312
Insufficient reason      34
Integer, unknown      213
Internal correlation      271 287 289 400
Intuition      15
Invariance      104 158 170 248
Inverse probability      29 35 372
Irrelevance      28 41 42 160 163
J defined      158
Johnson, W.E.      19 26 118 372
Joint assertion      18
Jolly, H.L.P.      137
Jourdain, P.E.B.      38
K defined      221
K tables      396
Kapteyn      269
Kendall, M.G.      49 81 88 96 210 239 281 326 372
Keynes, Lord      26 59 147
Knott, C.G.      326
Knowledge, vague      107 121 152 219 225 306 377
Lagrange, J.L.      376
Lange, J.      238 355
Language      19 20 32 45 372 378 391
Laplace, P.S.      14 23 29 31 34 62 102 107 133 374 389
Laplace, P.S. rule of succession      110
Latin square      215
Law of Large Numbers      52
Law, scientific      3 13 99 113 220 336 349
Le Vender, U.J.J.      389
Least squares      129
Least squares, approximations      140 173
Likelihood      29 47 99
Likelihood maximum      168 170 189
Limit of sampling ratio      53 341 345
Littlewood, J.E.      56 76
Location parameter      63
Logical product      18 25
Logical quotient      25
Logical sum      18 25
Lord Rayleigh      260
Lord Rutherford      59
Lueders, R.      70
Materialism      394
Mathematics, applied      2 3 12
Mathematics, pure      2 10 37
Maximum likelihood      168 170 189
Maximum likelihood, relation to invariance theory      169
Maxwell, J.C.      1 369
McColl, H.      26
Mean square contingency      212
Mean square contingency, deviation      92
Measures, significance tests      242 251 315
Median law      76 78 188
Median of general law      148
Median, use of      187 293
Mendelism      108 282 311 360
Mercury, perihelion of      387
Metaphysics      394
Method and material      7 9 10 388
Milne, E.A.      6
Milne-Thomson, L.M.      62
Mind, human      5 9 37 107 377 392
Mises, R.      341 345
Miss Bellamy, E.F.      324
Miss Hosiasson, J.      342
Miss Newbold, E.M.      295
Miss Pairman, E.      187
Moments      73 74 76 183
Moon, secular acceleration of      389
Moore, G.E.      17
Muirhead, J.H.      14
Multinomial law      57 90
Multiple sampling      57
Multiplicative axiom      10 56
Naive realism and idealism      46 383
Negative binomial      68 77 293
Newall, H.F.      387
Newman, M.H.A.      213
Newton      40 340 362
Neyman, J.      172 177 341 343 366
Nitrogen, density of      260
Normal equations      133
Normal law, departure from      190
Normal law, derivation      60 79
Normal law, estimation problem      120
Normal law, moments      78
Normal law, reproductive property      79
Normal law, significance tests for parameters      242 251
Normal law, test of      287
Null hypothesis      229
Numbers, introduction of      19
Nutation      278
Objectivity      11 376
Observations, rejection of      188
Ockham      315 385
Offord, A.C.      150
P integral      355 398
Paneth, F.A.      263
Parallax, negative      142 204
Parallax, stellar      300
Parameters, location and scale      63
Parameters, number admissible      100 315
Parameters, old and new      222
Parameters, orthogonal      184 223
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