The uniqueness of local proper scoring rules: the logarithmic family

Yang Jingni

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The uniqueness of local proper scoring rules: the logarithmic family

机译：当地适当计分规则的独特性：对数族

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摘要

Local proper scoring rules provide convenient tools for measuring subjective probabilities. Savage (J Am Stat Assoc 66(336), 783-801, 1971) has shown that the only local proper scoring rule for more than two exclusive events is the logarithmic family. We generalize Savage (1971) by relaxing the properness and the domain, and provide simpler proof.

机译：当地适当的评分规则为测量主观概率提供了方便的工具。 Savage（J Am Stat Assoc 66（336），783-801，1971）表明，对两个以上排他性事件，唯一的本地适当计分规则是对数族。我们通过放宽适当性和范围来概括Savage（1971），并提供更简单的证明。

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《Theory and Decision》 |2020年第2期|315-322|共8页
作者
Yang Jingni;
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作者单位

Australian Natl Univ Res Sch Econ Canberra ACT Australia;

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原文格式 PDF
正文语种 eng
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关键词
Local proper scoring rules; Subjective probability; Incentive compatibility;

机译：当地适当的评分规则;主观概率;激励兼容性;

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1. Existence and Uniqueness of Proper Scoring Rules [J] . Evgeni Y. Ovcharov Journal of machine learning research . 2015,第Apr期

机译：正确计分规则的存在性和唯一性
2. Proper local scoring rules on discrete sample spaces [J] . A. Philip Dawid, Steffen Lauritzen, Matthew Parry The Annals of Statistics: An Official Journal of the Institute of Mathematical Statistics . 2012,第1期

机译：在离散样本空间上正确的局部评分规则
3. Local proper scoring rules of order two [J] . Werner Ehm, Tilmann Gneiting The Annals of Statistics: An Official Journal of the Institute of Mathematical Statistics . 2012,第1期

机译：二阶本地适当评分规则
4. Novel Decompositions of Proper Scoring Rules for Classification: Score Adjustment as Precursor to Calibration [C] . Meelis Kull, Peter Flach European conference on machine learning and knowledge discovery in databases . 2015

机译：正确的分类评分规则的新颖分解：将分数调整作为校准的前兆
5. Unique polymer-protein interactions direct proper orientation of IgG antibodies in vitro. [D] . Clarizia, Lisa-Jo Ann. 2007

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6. Abstract: 14.40 A Retrospective Examination Of Three Unique Clinical Scoring Systems To Rule Out Craniofacial Fractures Without Ct Imaging [O] . Pierce Janssen, Gabriel Klein, Ramsen Azizi, 2017

机译：摘要：14.40回顾性检查了三种独特的临床评分系统以排除没有Ct成像的颅面骨折
7. Proper local scoring rules on discrete sample spaces [O] . A. Philip Dawid, Steffen Lauritzen, Matthew Parry 2016

机译：离散样本空间的适当局部评分规则
8. Strictly Proper Scoring Rules, Prediction, and Estimation [R] . Gneiting, T. , Raftery, A. E. 2005

机译：严格适当的评分规则，预测和估计

The uniqueness of local proper scoring rules: the logarithmic family

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