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Jeffreys H. — Theory of probability
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Название: Theory of probabilityАвтор: 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: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Издание: 2-nd editionГод издания: 1948Количество страниц: 416Добавлена в каталог: 08.12.2013Операции: Положить на полку |
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Parameters, suggested values 109 Pearson types 64 185 Pearson, E.S. 177 219 271 366 Pearson, Karl 7 45 62 72 88 108 115 125 172 183 204 231 270 288 310 354 374 Peirce, C.S. 188 periodicity 315 Perks, W. 170 Personal equation 270 Petersburg problem 32 Physicists, old-fashioned 244 274 Plana 389 Poisson law 58 68 77 119 237 240 293 Ponce, John 315 Pontecoulant 389 Postulates, economy of 9 37 46 102 Precision constant 62 Prediction 1 4 13 14 40 Principia Mathematica 6 8 10 18 25 48 391 probability 15 probability density 24 Probability, aim of theory 8 Probability, posterior 29 Probability, prior 29 34 Probability, prior of laws 100 Probability, prior, invariance rules, estimation 158 Probability, prior, invariance rules, significance 248 Probability, prior, logarithmic rule 102 104 119 Probability, prior, revision of 310 Probability, prior, truncation of 142 197 203 Probability, prior, uniform rule 102 Probable error 62 124 Product rule 25 Product rule, consistency of 35 36 405 Product rule, incorrect form of 27 Psychoanalysis 239 Psychology. 37 38 Quantum theory 100 382 387 Questions, statement of 91 108 Quinney, H. 378 Quotient, logical 26 Radioactivity 59 71 241 Ramsay, F.P. 10 26 31 372 Randomization 214 272 297 Randomness 49 Randomness, rule of procedure 315 385 Rank correlation 204 Re-scaling of law 145 Reading of scale 146 Realism 44 393 reality 338 Rectangular law 66 85 143 184 Reduction, uniform 192 Regression 73 Rejection of observations 188 280 287 Rejection of unobservables 383 387 Relativity 39 48 385 Religion 394 Residuals 133 188 Rounding-off errors 85 146 195 Russell, Bertrand 5 46 380 see Sadler, D.H. 362 Samples, comparison of 235 Sampling, multiple 57 117 Sampling, simple 49 56 109 Sampling, with replacement 50 Scale parameter 63 Scale, reading of 146 Scrase, F.J. 60 Seidel 140 173 Selection, allowance for 226 Sheppard, W.F. 62 195 significance 100 220 Significance, approximate form 251 Significance, combination of tests 305 Significance, complications 222 Significance, invariance 248 simplicity 4 100 103 113 222 391 Sir Darwin, G.H. 390 Sir Eddington, A.S. 6 193 283 379 386 Sir Fowler, R.H. 370 Sir Galton, F. 72 Sir Jeans, J.H. 370 Sir Jones, H. Spencer 278 Sir Schuster, A. 227 326 Sir Taylor, G.I. 332 378 382 390 Sir Walker, G.T. 229 Sir Whittaker, E.T., and Robinson, G. 80 84 202 Smithies, F. 376 Smoothing 198 Solipsism 44 379 393 Southwell, R.V. 174 Spearman, C. 204 Standard deviation 92 128 133 Standard error 62 Standard errors, agreement of 242 Stars, colour and spectral type 210 Statistical mechanics 28 369 Statistics, ancillary 182 Statistics, efficiency of 179 Statistics, sufficient 92 Statistics, unbiased 177 Stebbing, L.S. 14 Stevens, W.L. 333 Stieltjes integral 73 Stirling's formula 51 Storer, W.O. 127 Struggle for existence 6 Succession, rule of 110 Suggested values 108 Survey, Ordnance 175 t rule 95 122 124 128 t rule, significance 242 316 319 402 403 Telepathy 333 Teodorescu 258 Theory 390 Thorburn, W.M. 315 Tidal friction 390 Tires, strength of 258 Titchmarsh, E.C. 76 Triangular distribution 85 TRUE value 62 True value, significance tests 242 Turbulence 332 Turner, H.H. 227 Twins 238 312 Uncertainty principle 13 Undistributed middle 2 39 381 Unforeseen alternative 39 381 Uniform reduction 192 Uniformity of Nature 5 11 Universal assent 14 Unobservables 383 387 Venn limit 11 341 345 Venus, node of 362 von Bortkiewicz, L. 59 Watson, G.N. 83 Weber and Fechner 32 Weight 124 136 Weldon, W.F.R. 231 314 340 Whipple, F.J.W. 109 328 Whitehead, A.N. see "Principia Mathematica" Wish-fulfilment 16 392 Wrinch, D. 26 53 100 112 Yamaguti, S. 327 Yates, F. 209 214 219 281 357 Yule, G. Udny 49 69 88 96 208 239 326 356 z rule 95 125 z rule, modification of 97 z rule, significance 255 257 404
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