Insuring against loss of evidence in game-theoretic probability
We consider the game-theoretic scenario of testing the performance of Forecaster by Sceptic who gambles against the forecasts. Sceptic's current capital is interpreted as the amount of evidence he has found against Forecaster. Reporting the maximum of Sceptic's capital so far exaggerates the evidence. We characterize the set of all increasing functions that remove the exaggeration. This result can be used for insuring against loss of evidence.
|Date of creation:||May 2010|
|Date of revision:||Oct 2010|
|Publication status:||Published in Statistics and Probability Letters 81, 157 - 162 (2011)|
|Contact details of provider:|| Web page: http://arxiv.org/|
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