The Well-Calibrated Bayesian

The Well-Calibrated Bayesian
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DOI:
10.1080/01621459.1982.10477856
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发表时间:
1982-09
影响因子:
3.7
通讯作者:
A. Dawid
A. Dawid
中科院分区:
数学1区
文献类型:
--
作者:
A. Dawid

文献摘要

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摘要 假设一个预测者按顺序给事件分配概率。例如,如果他给一些事件分配30%的概率,而实际上这些事件发生的长期比例恰好是30%,那么他就是校准良好的。我们证明了一个定理,其大意是一个连贯的贝叶斯主义者预期是校准良好的,并考虑它对连贯性理论的破坏性影响。
Abstract Suppose that a forecaster sequentially assigns probabilities to events. He is well calibrated if, for example, of those events to which he assigns a probability 30 percent, the long-run proportion that actually occurs turns out to be 30 percent. We prove a theorem to the effect that a coherent Bayesian expects to be well calibrated, and consider its destructive implications for the theory of coherence.