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SUMMARY:Bayesian estimation of the mean response in a missing data model -
  Kolyan Ray (King's College London)
DTSTART:20180518T150000Z
DTEND:20180518T160000Z
UID:TALK102697@talks.cam.ac.uk
CONTACT:Quentin Berthet
DESCRIPTION:We study semiparametric Bayesian estimation of the mean respon
 se in a binary regression model with missing observations. We allow some d
 ependence between the missingness and response mechanisms\, which we assum
 e are conditionally independent given some measured covariates (i.e. uncon
 foundedness). This model has applications in biostatistics and causal infe
 rence. We show that the marginal posterior distribution for the mean respo
 nse arising from product priors on the different model parameters satisfie
 s a semiparametric Bernstein-von Mises theorem under some conditions. We a
 lso propose a more involved prior geared towards estimating this specific 
 functional.\n\n\nThis is joint work with Aad van der Vaart.
LOCATION:MR12
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