The mode functional is not elicitable
C. Heinrich
Biometrika, 2014, vol. 101, issue 1, 245-251
Abstract:
This article is concerned with point forecasting of a real-valued random variable with a general Lebesgue density. Answering a question of Gneiting (2011), it is shown that the mode is not elicitable, or, in other words, that it is impossible to find a loss or scoring function under which the mode is the Bayes predictor.
Date: 2014
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