The Interplay of Bayesian and Frequentist Analysis
M.J. Bayarri and James Berger
Statistics has struggled for nearly a century over the issue of
whether the Bayesian or frequentist paradigm is superior. This
debate is far from over and, indeed, should continue, since there
are fundamental philosophical and pedagogical issues at stake. At
the methodological level, however, the fight has become
considerably muted, with the recognition that each approach has a
great deal to contribute to statistical practice and each is
actually essential for full development of the other approach. In
this article, we embark upon a rather idiosyncratic walk through
some of these issues.