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. |
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... function. It may be either increasing or decreasing. If it is increasing, it ... loss of generality if we now adopt the choice o £ w(x) < 1 as a convention ... function in 0 < u < 1 , with extreme values 5(0) = 1 . S( I ) = 0. But it ...
... function. It may be either increasing or decreasing. If it is increasing, it ... loss of generality if we now adopt the choice o £ w(x) < 1 as a convention ... function in 0 < u < 1 , with extreme values 5(0) = 1 . S( I ) = 0. But it ...
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... function satisfying the functional equation (2.45) and the left boundary condition 5(0) — 1 : whereupon we are ... loss of generality, for the only requirement we have imposed on the function w(x) is that it is a continuous monotonic ...
... function satisfying the functional equation (2.45) and the left boundary condition 5(0) — 1 : whereupon we are ... loss of generality, for the only requirement we have imposed on the function w(x) is that it is a continuous monotonic ...
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المحتوى
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XXX | 68 |
XXXII | 69 |
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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 |
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LVI | 126 |
LVII | 132 |
LVIII | 133 |
LIX | 135 |
LX | 137 |
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C | 211 |
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CV | 219 |
CVI | 220 |
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CVIII | 222 |
CIX | 224 |
CX | 227 |
CXI | 229 |
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CXV | 235 |
CXVI | 236 |
CXVII | 238 |
CXVIII | 239 |
CXIX | 240 |
CXX | 243 |
CXXI | 245 |
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CXXVII | 253 |
CXXVIII | 254 |
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CXXXII | 261 |
CXXXIII | 262 |
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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 |
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CLIX | 314 |
CLX | 315 |
CLXI | 317 |
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CLXIV | 324 |
CLXV | 326 |
CLXVI | 327 |
CLXVII | 329 |
CLXVIII | 331 |
CLXIX | 335 |
CLXX | 338 |
CLXXIX | 365 |
CLXXX | 370 |
CLXXXI | 372 |
CLXXXII | 374 |
CLXXXIV | 378 |
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CLXXXIX | 394 |
CXC | 397 |
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CCLXXXV | 594 |
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CCLXXXIX | 599 |
CCXC | 601 |
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CCXCII | 603 |
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CCC | 615 |
CCCI | 617 |
CCCII | 619 |
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CCCX | 634 |
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CCCXXI | 661 |
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CCCXXV | 666 |
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CCCXXIX | 671 |
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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