使人入神
发表于 2025-3-25 04:32:23
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innovation
发表于 2025-3-25 09:40:20
Conditional Probability,Kolmogorov’s exquisite formalization of conditional probability in the unitary case (1933) does not readily generalize to non-unitary probabilities. Stone and Dawid (1972) show one type of difficulty with their marginalization paradoxes for improper priors.
Cloudburst
发表于 2025-3-25 14:40:33
Making Probabilities,The essence of Bayes theory is giving probability values to bets. Methods of generating such probabilities are what separate the various theories.
磨碎
发表于 2025-3-25 16:32:34
Exponential Families,Let . be a probability on ., and choose a unitary probability . on . to minimize the information .(log(.)) subject to ....., . 1,..., .. The optimal probability . has density
Regurgitation
发表于 2025-3-25 23:05:15
Many Normal Means,Given X, suppose ., and the .. are independent. The straight estimate .. of .. is least squares, maximum likelihood, of minimum variance among unbiased estimators, posterior means with respect to the Jeffreys density (the ..,..., .. are uniform) but for all these virtues inadmissible with loss function .for . > 2, Stein (1956).
FOVEA
发表于 2025-3-26 01:06:27
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残忍
发表于 2025-3-26 07:10:12
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aerobic
发表于 2025-3-26 10:28:43
Springer Series in Statisticshttp://image.papertrans.cn/b/image/181817.jpg
PHAG
发表于 2025-3-26 12:39:42
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无表情
发表于 2025-3-26 20:34:52
Ana Ferreira,Lynne Coventry,Gabriele LenziniFor example, if we assume that a penny has probability 1/2 of coming down heads on each toss, and that the different tosses are independent, it follows that the limiting proportion of heads will be 1/2 almost surely.