Arthur P. Dempster
Nonparametric survival analysis and vaccine efficacy using Dempster-Shafer analysis.
Thu, 04/26/2012 - 15:01 — SomNambulAuthors: Paul T. Edlefsen, Arthur P. Dempster
Subjects: Methodology
AbstractWe introduce an extension of nonparametric DS inference for arbitrary
univariate CDFs to the case in which some failure times are (right)-censored,
and then apply this to the problem of assessing evidence regarding assertions
about relative risks across two populations. The approach enables exploration
of the sensitivity of survival analyses to assumed independence of the missing
data process and the failure proces.Estimating limits from Poisson counting data using Dempster--Shafer analysis.
Mon, 08/24/2009 - 13:10 — SomNambulAuthors: Paul T. Edlefsen, Chuanhai Liu, Arthur P. Dempster
Subjects: Applications
AbstractWe present a Dempster--Shafer (DS) approach to estimating limits from Poisson
counting data with nuisance parameters. Dempster--Shafer is a statistical
framework that generalizes Bayesian statistics. DS calculus augments
traditional probability by allowing mass to be distributed over power sets of
the event space. This eliminates the Bayesian dependence on prior distributions
while allowing the incorporation of prior information when it is available. We
use the Poisson Dempster--Shafer model (DSM) to derive a posterior DSM for the
``Banff upper limits challenge'' three-Poisson model.
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