شماره ركورد كنفرانس :
4109
عنوان مقاله :
Group invariance in Bayes estimators
پديدآورندگان :
Shams M Department of Mathematical Sciences, University of Kashan, Kashan, Iran
كليدواژه :
Bayes estimator , Locally compact topological group , Relatively invariant measure , Haar measure , Radon , Nykodym deravative
عنوان كنفرانس :
يازدهمين سمينار ملي احتمال و فرآيندهاي تصادفي
چكيده فارسي :
In invariant statistical models, when considering Bayes
estimation, it is natural to select a prior distribution which is also invariant. In this paper we show that the Bayes estimators among the class of invariant estimators under a topological group which leave the statistical problem invariant, is a Bayes estimators w.r.t. a prior measure which is constructed from the right Haar measure on the topological group and the specified prior
