TY - JOUR T1 - A NOTE VIA DIAGONALITY OF THE 2 × 2 BHATTACHARYYA MATRICES TT - JF - IJMSI JO - IJMSI VL - 1 IS - 2 UR - http://ijmsi.ir/article-1-39-en.html Y1 - 2006 SP - 79 EP - 84 KW - Exponential Families KW - Bhattacharyya Bounds KW - Rao-Cramer In‌equality KW - Fisher Information KW - Diagonality of the Bhattacharyya matrices. N2 - In this paper, we consider characterizations based on the Bhattacharyya matrices. We characterize, under certain constraint, dis tributions such as normal, compound poisson and gamma via the diago nality of the 2 X 2 Bhattacharyya matrix. M3 10.7508/ijmsi.2006.02.006 ER -