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De Finetti B. Theory of Probability. A critical introductory treatment(vol. 2)
De Finetti B.  Theory of Probability. A critical introductory treatment(vol. 2)









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: Theory of Probability. A critical introductory treatment(vol. 2)

: De Finetti B.

:

Is il possible thai in just a few lines I can achieve what I failed to achieve in my many books and articles'1 Surely not. Nevertheless, this preface affords me the opportunity, and I shall make the attempt. It may be that misunderstandings which persist in the face of refutations dispersed or scattered over some hundreds of pages can be resolved once and for all if all the arguments are pre-emptively piled up against them.
My thesis, paradoxically, and a little provocatively, but nonetheless genuinely, is simply this:


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ed2k: ed2k stats

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Acceptance (or rejection) of, a hypothesis      200 252
Additivity, finite, countable, perfect      259 343 348361
Adhockeries      200 372
Anderson, Sparre      140
Andre, Desire      22 78 114 115 156
Anscombe, F. J.      368
Armitage, P.      368
Asymptotically certain      131
Autocorrelation      169
Bachelier      155
Baire      350
Ballot problems      123141
Banach, St.      350
Barnard, G. A.      368
Bartlett, M. S.      368
Bayes Laplace process      32 149 184 219223
Bayess theorem and induction      195 199
Bernoulli process      208
Bernoulli process, law of large numbers      38
Bernoulli, Daniel      253
Bessel process      105 106
Birkhoff, G.      303 322
Bitterings apparatus      18 19 45
Blackwell, D      343
Bodiou, G      263 269 305 309
Bohr, N      307 319
Boltzmann      (see Maxwell Boltzmann statistics)
Boolean algebra and logic      269 305
Borel Cantelli lemma      38
Borel, E.      263 362 368
Born, M.      41
Bose Einstein statistics      181 184
Bourbaki      6 263
Brownian motion      51
Calderoni, M.      41 201
Cantelli law      38
Cantor distribution      263
Caratheodory      263
Carnap, R.      197 341
Cauchy convergence      215 227
Cauchy convergence, distribution      58 92 194
Central limit theorem      4470
Cesaro      35
Characteristic functions for several vari, ables      174
Chisini, O.      244
Chung      140
Conjugate prior distributions      238 242
Cournot's principle      34 39
Cox, D. R      368
Cramers theorem      67 68 171 350
de Finetti, B      43 197 218 245 343 354 363 366
de Grazia, A      197
de Laplace, P. S.      323 325
De Moivre      111
De Moivre, approximation to Stirlings formula      50
Decision theory      225 251255
Decision theory, minimax decision      254 255
Dempster, A. P.      368
Destouches      340
Determinism      324 325
Dirac      321 (see also Fermi-Dirac statistics)
Distributions, beta      188 191 218219
Distributions, Cantor      263 373 374
Distributions, continuous, arc sine      138 141143
Distributionsctd., Cauchy      58 92 194
Distributionsctd., chi-square      190
Distributionsctd., compound Poisson      74 85 88
Distributionsctd., discrete, Bernoulli (binomial)      2224
Distributionsctd., divisibility of      72 88 91 98 99
Distributionsctd., gamma      105 189 190 238 240
Distributionsctd., geometric      29
Distributionsctd., hypergeometric      2428
Distributionsctd., mixtures      213215
Distributionsctd., multinomial      182
Distributionsctd., multivariate normal      176180
Distributionsctd., negative-binomial      30
Distributionsctd., normal      36 4464 222 234 240 250
Distributionsctd., Pascal      28
Distributionsctd., semi-normal      119
Distributionsctd., stable      98 107
Distributionsctd., Student      194 240
Distributionsctd., uniform      31
Einstein statistics, Ellipsoidsofcovarianceandconcentration      178
Einstein, A.      41 322
Ellsberg, D.      368
Enriques, F.      218
Ergodic theorem and principle      149 151
Exchangeability      211 212 215 224
Feller, W      2 68 70 89 91 105 114 140 142
Fermi Dirac statistics      181 184
Fibonacci numbers      7 8
Fibonacci numbers, and Emanuelli, F      198
Fibonacci numbers, and Minisola, F.      23
Fibonacci numbers, and Savage, L. J.      197 204 245 368
Finney, D. J.      368
Fisher, R, A.      248 249 252
Fourier transform      172
Frechet, R. M.      263
frequency      3342 204208
Frey      245
Galileo      41 197 277
Gallon, F      62 63
Gamblers ruin      22 110123
Gennaro, A      363
Goldbachs conjecture      291
Gosset, W. S.      (see Student)
Green's function      123
Haussdorff, F.      350
Heisenberg's uncertainty principle      41 307 319
Hermite inner product      314
Hertz      322
Hilbert space      273 313 314
Hintikka      245
Holtsmark      104
Hume, D.      201
Huyghens      167
Independence and dependence      208 215 259
Induction      195 202
Information matrix (Fisher)      250
Information matrix (Fisher), value of (Schlaifer)      254
James, W.      201
Jeffreys, H      39 197 331 341
Jordan Peano measure      355 371
Kant, E.      201
Kelvins method of images      115 121 122 159
Kennard      319
Kerridge, D.      368
Keynes, J. M.      362 368
Khintchin, A.      68 69 91
Khintchin, law of the iterated logarithm      38 160
Khintchin, process      170
Kingman, J. F. C.      353
Kolmogorov, A. N.      38 125 159 160 263 269 334 343 344 358
Koopman, B. O.      39 303 368
Kraft, C, H      366
Kyburg, H. E, and Smokier, H, E.      362
Lakatos      1 197
Laws of large numbers      33 43
Lebesgue measure and integral      259 263 337 350
Levy, P.      65 68 91 97 104 140 160 163 350
Liapounov      68
Likelihood principle      240243
Lindeberg      68
Lindley, D. V.      238 240 244 248 251 253 368
Loeve, M.      171
Logic      198202
Logic, three-valued      266 304 306313 321 325
Loinger, A.      192
Lombardo Radice, L.      304
Markov chains      150 165168
Markov chains, processes      165172
Maxwell      57 62 190 322
Maxwell Boltzmann statistics      181 184
Mixtures of distributions      213215
Morant, G. M.      197
Morgenstern      253
Neyman, J.      198 242 248
Objectivism      201 202 264 265
Papini      41
Pascals triangle      20
Paulis exclusion principle      184
Peano      201 298 319
Pearson, E. S.      62 248
Pearson, K.      47 197
Peirce, C. S.      201
Persico, E.      314
Persistent states      125
Petrowski      159 160
Pike, M      368
Plancks constant      319
Poincare      63 249
Poisson process, simple, compound, generalized      7376 8092
Polya      51 366
Polya, urn scheme (contagion probabilities)      32 149 183 214 220 221
Popper, K.      197
POST      308
Pragmatism      41 201
Pratt, J.      366
RaifTa, H      238
Ramsey, F, P.      253
Random, at random      9 185 189
Recurrent sequence.      124
Reflection principle      22 78 114 115 156
Reichenbach, H      303 306309 322324 328
Renyi, A.      352
Riemann      371
Riesz      263
Robertson      319
Sansone, G.      346
Sarason, H. M.      327
Savage, L. J.      40 197 204 223 245 253 365 368
Schlaifer, R      238
Schwartz, L.      263
Sciama, D. W.      151
Seidenberg, A.      366
Shanks, D      291
Smirnov      125
Smith, C. A. B.      368
Smokier, H. E.      (see Kyburg H.
Stationary process      168172
Stiefels identity      20 49
Stieltjes      74
Stirlings formula      27 49 50
STUDENT      194 240
Sufficient statistics      240243
Tchebychevs inequality      33 35 38 45 53 77
Transient states      125
Ulam, St.      269 350
Utility      253 254
Vailati, G.      41 201
Veihinger      265
Velikovsky      196 197
Vetter      245
Vitali, G      346 350
Volterra      60 167
von Kutschera      245
von Mises, R.      60 342
von Neumann, J.      192 253 269 303 304 319325
Wald, A.      253
Watson, J.      197
Wegener      196
Weisskopf, V. F.      151 196
Wiener Levy process      9298 153164
Wrench, J. W      291
Zermelos postulate      337
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