Open Access
September, 1955 A Necessary and Sufficient Condition for Admissibility
Charles Stein
Ann. Math. Statist. 26(3): 518-522 (September, 1955). DOI: 10.1214/aoms/1177728497


In Section 2 we have defined the Kronecker product of matrices. This definition and some properties of the Kronecker product of matrices are given in [1]. Section 3 is devoted to a general discussion of an application of the concept of the Kronecker product of matrices to define the Krnoecker product of designs. This section also contains two theorems which illustrate the use of the method of obtaining Kronecker products of designs. Definitions of some well-known designs are given in Section 4, which also contains a number of results giving explicit forms of certain Kronecker products. Finally some illustrations of a few results of Section 4 are given in Section 5.


Download Citation

Charles Stein. "A Necessary and Sufficient Condition for Admissibility." Ann. Math. Statist. 26 (3) 518 - 522, September, 1955.


Published: September, 1955
First available in Project Euclid: 28 April 2007

zbMATH: 0065.11703
MathSciNet: MR70929
Digital Object Identifier: 10.1214/aoms/1177728497

Rights: Copyright © 1955 Institute of Mathematical Statistics

Vol.26 • No. 3 • September, 1955
Back to Top