Identity link (source code)

= Identity link
{title2=$g(\mu)=\mu$}

The identity <link function> equates the response mean with the <linear predictor>. In a <generalized linear model> it gives $\mu_i=x_i^T\beta$. It is the <canonical link function> for the <normal distribution>. For response families whose means must remain positive or between zero and one, using the identity link requires corresponding restrictions on the <linear predictor>.