exponential family- invertibility of link function
Hello,
in al the examples investigated we saw a one to one relationship between E[phi(y)] and eta. Is this always the case, is the g/link function always invertible?
Also just to clarify I understand correctly, the link function is what links the canonical parameter eta and the expected value of the sufficient statistics correct? because sometimes when the sufficient statistics equals y then it is expressed as linking mu and eta.
exponential family- invertibility of link function
Hello,
in al the examples investigated we saw a one to one relationship between E[phi(y)] and eta. Is this always the case, is the g/link function always invertible?
Also just to clarify I understand correctly, the link function is what links the canonical parameter eta and the expected value of the sufficient statistics correct? because sometimes when the sufficient statistics equals y then it is expressed as linking mu and eta.
Thanks for the help
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