# What does Exp(B) mean in generalized linear model (GLM) with gamma distribution?

What's the difference between B and Exp(B) in GLM? And is it more correct to replace B with β?

I don't need an extremely detailed answer about the theory behind it.

• Could you please explain what you mean by "B" and "$\beta$"? In the context these could be various versions of coefficients, coefficient estimates, standardized coefficients, and standardized estimates, making it unclear what your question actually is.
– whuber
May 25, 2022 at 15:50

Greek letters are used for the population vales so the sample value is usually represented as $$b$$ not $$\beta$$. In fact since it is an estimate of $$\beta$$ you can write it as $$\hat\beta$$
• This makes sense only for binary variables coded as 0/1. Otherwise, exponentiating the coefficient seems to have a rather confusing and indirect interpretation, because there is no readily interpretable relationship between $\exp(x\beta)$ (which is involved in the conditional expectation) and $\exp(\beta)$ generally.