We derive a class of matching priors for the shape parameter of the exponential power distribution, which controls the thickness of the density tails. It is shown that a second-order matching prior does not exist in the subclass of the considered priors.

<Para ID="Par1">In this paper we consider the Bayesian approach to the problem of variable selection in normal linear regression models with related predictors. We adopt a generalized singular <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$g$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mi>g</mi> </math> </EquationSource> </InlineEquation>-prior distribution for the unknown model parameters and the beta-prime prior for the scaling factor <InlineEquation ID="IEq2"> <EquationSource...</equationsource></inlineequation></equationsource></equationsource></inlineequation></para>

Statistical Theories and Methods with Applications to Economics and Business highlights recent advances in statistical theory and methods that benefit econometric practice. It deals with exploratory data analysis, a prerequisite to statistical modelling and part of data mining. It provides...