شماره ركورد كنفرانس :
4079
عنوان مقاله :
The decomposable distributions and distributions of the invariant and equivariant
پديدآورندگان :
Shams M. mehdishams@kashanu.ac.ir University of Kashan , Barghi Oskouie N. n_barghi@tabrizu.ac.ir University of Tabriz
كليدواژه :
orbital decomposition , orbit types , relatively invariant measure , decomposable distributions , maximal invariant , equivariant function
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده فارسي :
In this paper we confirm the independence of the invariant and equivariant parts in the orbital
decomposition, and then we obtain the distribution of a maximal invariant and an equivariant
function. This is used to represent the sample space as essentially the product of a maximal
invariant and an equivariant part, which implies Stein’s representation for the density of the
maximal invariant.