Theory of ProbabilityClarendon Press, 1983 - 459 Jeffreys' Theory of Probability, first published in 1939, was the first attempt to develop a fundamental theory of scientific inference based on Bayesian statistics. His ideas were well ahead of their time and it is only in the past ten years that the subject of Bayes' factors has beensignificantly developed and extended. Recent work has made Bayesian statistics an essential subject for graduate students and researchers. This seminal book is their starting point. |
Spis treści
FUNDAMENTAL NOTIONS 1 | 11 |
DIRECT PROBABILITIES | 57 |
ESTIMATION PROBLEMS | 117 |
Prawa autorskie | |
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accuracy actual alternatives applied approximation argument arise assessment Axiom Bernoulli's theorem binomial chance coefficient condition consider convenient corresponding definition degrees of freedom E. S. Pearson earthquake equal equations expectation fact factor finite Fisher follows function give given Hence independent induction inference infinite intervals intraclass correlation inverse probability large number law of error limit location parameter logic m₁ mathematical maximum likelihood mean method n₁ n₂ normal correlation normal equations normal law null hypothesis number of observations P(dx Pearson possible values posterior probability postulates prior probability probability distribution proposition random range ratio rejected residuals result rule sample set of observations significance test solution square standard error statement sufficient statistics suggested suppose systematic theorem theory tion true value uncertainty uniform distribution unknown usually variation x₁ zero