Some Structural Properties of the Bhattacharyya Matrices

In this paper, we study the structure of the 2 × 2 Bhattacharyya matrix relative to an exponential family and identify, amongst other things, the situations under which this matrix is diagonal or has polynomial nondiagonal elements (or is independent of the parameter). We also identify here the fami...

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Veröffentlicht in:	Sankhya. Series A 1997-06, Vol.59 (2), p.232-241
Hauptverfasser:	Alharbi, Abdulghani A. G., Shanbhag, D. N., Thabane, L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Binomials Fisher information Generating function Linear transformations Mathematical domains Mathematical functions Matrices Polynomials Random variables
Online-Zugang:	Volltext
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