[Forum SIS] Bocconi DEC Seminar: Philip Dawid - May 26th
anna.simoni a unibocconi.it
anna.simoni a unibocconi.it
Gio 19 Maggio 2011 10:06:51 CEST
Dear colleagues,
The Department of Decision Sciences (DEC) of Bocconi University is pleased to invite you to the seminar:
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DEC Seminar
Università Bocconi
Room 3-E4-SR03
Via Rontgen 1 - 3rd floor
Time: 12:30pm
The DEC seminar schedule is available at http://www.unibocconi.eu/statseminar
Thursday, May 26th
Philip Dawid
(University of Cambridge)
"Local Proper Scoring Rules"
Abstract:
A scoring rule S(x, Q) measures the quality of a quoted distribution Q for an uncertain quantity X in the light of the realised value x of X. It is proper when it encourages honesty, i.e, when, if your uncertainty about X is represented by a distribution P, the choice Q = P minimises your expected loss. Traditionally, a scoring rule has been called local if it depends on Q only through q(x), the density of Q at x. The only proper local scoring rule is then the log-score, -log q(x). For the continuous case, we can weaken the definition of locality to allow dependence on a finite number m of derivatives of q at x. A characterisation is given of such order-m local proper scoring rules, and their behaviour under transformations of the outcome space. In particular, any m-local scoring rule with m > 0 can be computed without knowledge of the normalising constant of the density. Parallel results for discrete spaces will be given.
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Sincerely,
Anna Simoni
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Anna Simoni
Assistant Professor
Department of Decision Sciences
Università Bocconi
via Roentgen, 1
20136 Milano - Italy
Email:anna.simoni a unibocconi.it
Webpage: http://faculty.unibocconi.eu/annasimoni/
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