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SUMMARY:Continuity\, Convexity\, Centrality:  Axiomatizing and Comparing L
 ocation Indices - Stefania Merone (University of Oxford)
DTSTART;VALUE=DATE-TIME:20260130T124500Z
DTEND;VALUE=DATE-TIME:20260130T134500Z
UID:https://talks.ox.ac.uk/talks/id/97eae4aa-7b39-4c4c-b22e-e344caf54631/
DESCRIPTION:I provide an axiomatic characterization of the class of locati
 on parameters derived from well-defined convex minimization problems. The 
 resulting class includes a broad set of estimators\, such as the mean and 
 --- in the limit --- the median\, but excludes the mode.\nI also address t
 he problem of comparing location parameters within this set by reframing t
 he optimization problem as the one of a decision maker selecting a point f
 orecast to minimize an expected loss. I formalize the decision maker's pre
 ferences over two key attributes of the resulting estimator: robustness (s
 ensitivity to outliers) and directionality (asymmetry in weighting positiv
 e vs. negative deviations)\, and I discuss how they depend on the shape of
  the loss function. While a direct comparison of estimators\ncan be diffic
 ult because of the underlying trade-off between robustness and directional
 ity\, I show that\, under mild conditions\, differences between estimators
  can be fully reinterpreted as differences in directionality only.\nSpeake
 rs:\nStefania Merone (University of Oxford)
LOCATION:Manor Road Building (Seminar Room G)\, Manor Road OX1 3UQ
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/97eae4aa-7b39-4c4c-b22e-e344caf54631/
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DESCRIPTION:Talk:Continuity\, Convexity\, Centrality:  Axiomatizing and Co
 mparing Location Indices - Stefania Merone (University of Oxford)
TRIGGER:-PT1H
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