Divisive Conditioning: Further Results on Dilation
Teddy Seidenfeld, and
Conditioning can make
uniformly more imprecise.
We call this effect ``dilation.''
In a previous paper,
Seidenfeld and Wasserman (1993)
established some basic results
about dilation. In this paper,
we further investigate dilation
in several models.
In particular, we consider conditions under which
dilation persists under marginalization and
we quantify the degree of dilation.
We also show that
dilation manifests itself
asymptotically in certain robust Bayesian models and
we characterize the rate
at which dilation occurs.
Key words and phrases:
total variation distance.