Scoring rules and the inevitability of probability

Scoring rules and the inevitability of probability
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评分规则和概率的必然性

DOI:
10.21236/ada097045
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发表时间:
1982
期刊:
--
影响因子:
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通讯作者:
David Lindley
David Lindley
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--
文献类型:
--
作者:
David Lindley

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Abstract : Let a person express his uncertainty about an event E, conditional upon an event F, by a number x and let him be given, as a result, a score which depends on x and the truth or falsity of E when F is true. It is shown that if the scores are additive for different events and if the person chooses admissible values only, then there exists a known transform of the values x to values which are probabilities. In particular, it follows that values x derived by significance tests, confidence intervals or by the rules of fuzzy logic are inadmissible. Only probability is a sensible description of uncertainty.