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Distance Measures
Let us consider the following three measures



(2.4) 



(2.5) 
and



(2.6) 
for all
The measures (2.4), (2.5) and (2.6) are famous in the literarture as
the ``Variational distance", the `Bhattacharyya distance"
and the ``Harmonic mean" respectively. These measures satisfy the
following properties
Property 2.15. We have

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)
The measure
considered here is with natural logarithm base.
Property 2.16. We have

(i)

(ii)
For more details on these measures refer to Mathai and Rathie (1975) [71]
and references therein.
21062001
Inder Jeet Taneja
Departamento de Matemática  UFSC
88.040900 Florianópolis, SC  Brazil