Definition:Generalized Linear Model/One Variable

Definition

The generalized linear model for one cause variable $x$ is of the form:

$\map g \mu = \beta_0 + \beta_1 x$

where $\map g \mu$ is the link function.

Also see

• Results about generalized linear models can be found here.

Historical Note

The generalized linear model was conceived and developed by Robert William Maclagan Wedderburn and John Ashworth Nelder from $1972$.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): generalized linear models
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): generalized linear models