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 |
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| container_title | Sankhya. Series A |
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| creator | Alharbi, Abdulghani A. G. Shanbhag, D. N. Thabane, L. |
| description | 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 families for which the (1, 1)-th or (1, 2)-th element of the respective Bhattacharyya matrix is proportional to the corresponding element of a prescribed Bhattacharyya matrix. |
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| ispartof | Sankhya. Series A, 1997-06, Vol.59 (2), p.232-241 |
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| language | eng |
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| source | JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing |
| subjects | Binomials Fisher information Generating function Linear transformations Mathematical domains Mathematical functions Matrices Polynomials Random variables |
| title | Some Structural Properties of the Bhattacharyya Matrices |
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