Probability Theory: The Logic of ScienceCambridge University Press, 10/04/2003 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. |
من داخل الكتاب
النتائج 1-5 من 76
الصفحة vii
... Plausible reasoning 3 1.1 Deductive and plausible reasoning 3 1 .2 Analogies with physical theories 6 1.3 The thinking computer 7 1 .4 Introducing the robot 8 1 .5 Boolean algebra 9 1 .6 Adequate sets of operations 1 2 1 .7 The basic ...
... Plausible reasoning 3 1.1 Deductive and plausible reasoning 3 1 .2 Analogies with physical theories 6 1.3 The thinking computer 7 1 .4 Introducing the robot 8 1 .5 Boolean algebra 9 1 .6 Adequate sets of operations 1 2 1 .7 The basic ...
الصفحة xix
... Plausible Reasoning'. He dissected our intuitive 'common sense' into a set of elementary qualitative desiderata and showed that mathematicians had been using them all along to guide the early stages of discovery, which necessarily ...
... Plausible Reasoning'. He dissected our intuitive 'common sense' into a set of elementary qualitative desiderata and showed that mathematicians had been using them all along to guide the early stages of discovery, which necessarily ...
الصفحة xx
... plausibility are represented by real numbers, then there is a uniquely determined set of quantitative rules for conducting inference. That is, any other rules whose results conflict with them will necessarily violate an elementary - and ...
... plausibility are represented by real numbers, then there is a uniquely determined set of quantitative rules for conducting inference. That is, any other rules whose results conflict with them will necessarily violate an elementary - and ...
الصفحة xxii
... also the unique consistent rules for conducting inference (i.e. plausible reasoning) of any kind, and we shall apply them in full generality to that end. It is true that all 'Bayesian' calculations are included automatically xxii Preface.
... also the unique consistent rules for conducting inference (i.e. plausible reasoning) of any kind, and we shall apply them in full generality to that end. It is true that all 'Bayesian' calculations are included automatically xxii Preface.
الصفحة 3
... plausible reasoning A moment's thought makes it clear that our policeman's conclusion was not a logical deduction from the evidence; for there may have been a perfectly innocent explanation for everything. It might be, for example, that ...
... plausible reasoning A moment's thought makes it clear that our policeman's conclusion was not a logical deduction from the evidence; for there may have been a perfectly innocent explanation for everything. It might be, for example, that ...
المحتوى
CLXXI | 341 |
CLXXII | 343 |
CLXXIII | 345 |
CLXXIV | 346 |
CLXXV | 351 |
CLXXVI | 354 |
CLXXVII | 355 |
CLXXVIII | 358 |
21 | |
23 | |
24 | |
30 | |
35 | |
37 | |
43 | |
44 | |
45 | |
47 | |
49 | |
51 | |
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 |
عبارات ومصطلحات مألوفة
analysis appears applications argument Bayes binomial calculation Chapter coin common sense conclusions consider Cox's theorems criterion data set decision theory defined density derivation equal equations error estimate evidence example expected fact finite Fisher frequency Gaussian give given Harold Jeffreys hypothesis improper prior independent induction inductive reasoning inference infinite sets integral intuitive Jeffreys knowledge Laplace Laplace's likelihood likelihood function limit loss function mathematical maximum entropy mean measure noise normal notation noted nuisance parameters numerical values observed paradox physical plausible possible posterior distribution posterior pdf posterior probability predictions principle principle of indifference prior information prior probability probability assignment probability distribution probability theory problem product rule propositions random experiment reasoning relevant result robot rules of probability sampling distribution solution specified statement sufficient statistic suppose tell theorem theory as logic toss trials true widgets