Document Type : Research Note


Department of Statistics School of Mathematics, Shahrood University of Technology, Shahrood, Iran.


In this paper we consider Selberg-type square matrices integrals with focus on Kummer-beta types I & II integrals. For generality of the results for real normed division algebras, the generalized matrix variate Kummer-beta types I & II are defined under the abstract algebra. Then Selberg-type integrals are calculated under
orthogonal transformations.