Measure theoretically equivalent

[Edwinkumar]

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.

 

[g_edgar]

Well, start with the definition in your text, what is that?
(Since it is not widely-known terminology, we can only guess at it.)

 

[Edwinkumar]

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.