# Family representing a GLM with custom distribution and link function

Source:`R/population.R`

`custom_family.Rd`

Allows specification of the random component and link function for a response
variable. In principle this could be used to specify any GLM family, but it
is usually easier to use the predefined families, such as `gaussian()`

and
`binomial()`

.

## Arguments

- distribution
The distribution of the random component. This should be in the form of a function taking one argument, the vector of values on the inverse link scale, and returning a vector of draws from the distribution.

- inverse_link
The inverse link function.

## Details

A GLM is specified by a combination of:

Random component, i.e. the distribution that Y is drawn from

Link function relating the mean of the random component to the linear predictor

Linear predictor

Using `custom_family()`

we can specify the random component and link
function, while the linear predictor is set in `population()`

when setting up
the population relationships. A family specified this way can be used to
specify a population (via `population()`

), but can't be used to estimate a
model (such as with `glm()`

).

## See also

`ols_with_error()`

for the special case of linear regression with
custom error distribution