Measure theoretically equivalent

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    Equivalent Measure
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Edwinkumar
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When are two or more measures said to be measure theoretically equivalent?
I have spent sometime on searching it; I am not getting it. Please someone help.
 
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Well, start with the definition in your text, what is that?
(Since it is not widely-known terminology, we can only guess at it.)
 
I couldn't find this terminology in books. When I was reading a paper I-divergence geometry of distributions by I.CSISZAR, I came across this term. Initially I thought it could be mutually absolutely continuous; but its not. I couldn't make any guess.