- Title Pages
- Dedication
- Acknowledgements
- Introduction
- 1 From No Drop to Probabilism
- 2 Formulating the dominance principle
- 3 Measuring accuracy: existing accounts
- 4 Measuring accuracy: a new account
- 5 The Bronfman objection
- 6 Howson’s robustness objection
- 7 The accuracy argument for Probabilism
- Part II Chance-credence principles
- 8 The Principal Principle
- 9 Vindication and chance
- 10 Dominance and chance
- 11 Self-undermining chances
- Part III The Principle of Indifference
- 12 Maximin and the Principle of Indifference
- 13 Hurwicz, regret, and 𝒞‐maximin
- Part IV Accuracy and updating
- 14 Plan Conditionalization
- 15 Diachronic Conditionalization
- 16 Where next for epistemic utility theory?
- Bibliography
- Index
Measuring accuracy: a new account
Measuring accuracy: a new account
- Chapter:
- (p.47) 4 Measuring accuracy: a new account
- Source:
- Accuracy and the Laws of Credence
- Author(s):
Richard Pettigrew
- Publisher:
- Oxford University Press
This chapter presents the preferred characterization of the legitimate inaccuracy measures. It begins by characterizing all of the strictly proper inaccuracy measures. Later, a further condition is considered that narrows the field to a single inaccuracy measure, namely, the popular Brier score.
Keywords: Brier score, strictly proper scoring rule, Bregman divergence, calibration, additivity
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- Title Pages
- Dedication
- Acknowledgements
- Introduction
- 1 From No Drop to Probabilism
- 2 Formulating the dominance principle
- 3 Measuring accuracy: existing accounts
- 4 Measuring accuracy: a new account
- 5 The Bronfman objection
- 6 Howson’s robustness objection
- 7 The accuracy argument for Probabilism
- Part II Chance-credence principles
- 8 The Principal Principle
- 9 Vindication and chance
- 10 Dominance and chance
- 11 Self-undermining chances
- Part III The Principle of Indifference
- 12 Maximin and the Principle of Indifference
- 13 Hurwicz, regret, and 𝒞‐maximin
- Part IV Accuracy and updating
- 14 Plan Conditionalization
- 15 Diachronic Conditionalization
- 16 Where next for epistemic utility theory?
- Bibliography
- Index
