This method is a wrapper for `INLA::inla`

and provides
multiple enhancements.

Easy usage of spatial covariates and automatic construction of inla projection matrices for (spatial) SPDE models. This feature is accessible via the

`components`

parameter. Practical examples on how to use spatial data by means of the components parameter can also be found by looking at the lgcp function's documentation.Constructing multiple likelihoods is straight forward. See like for more information on how to provide additional likelihoods to

`bru`

using the`...`

parameter list.Support for non-linear predictors. See example below.

Log Gaussian Cox process (LGCP) inference is available by using the

`cp`

family or (even easier) by using the lgcp function.

## Usage

```
bru(components = ~Intercept(1), ..., options = list(), .envir = parent.frame())
bru_rerun(result, options = list())
# S3 method for class 'bru'
print(x, ...)
```

## Arguments

- components
A

`formula`

-like specification of latent components. Also used to define a default linear additive predictor. See`component()`

for details.- ...
Likelihoods, each constructed by a calling

`like()`

, or named parameters that can be passed to a single`like()`

call. Note that all the arguments will be evaluated before calling`like()`

in order to detect if they are`like`

objects. This means that special arguments that need to be evaluated in the context of`response_data`

or`data`

(such as`Ntrials`

) may will only work that way in direct calls to`like()`

.- options
A bru_options options object or a list of options passed on to

`bru_options()`

- .envir
Environment for component evaluation (for when a non-formula specification is used)

- result
A previous estimation object of class

`bru`

- x
A

`bru`

object to be printed

## Value

bru returns an object of class "bru". A `bru`

object inherits
from `INLA::inla`

(see the inla documentation for its properties) and
adds additional information stored in the `bru_info`

field.

## Functions

`bru_rerun()`

: Continue the optimisation from a previously computed estimate. The estimation`options`

list can be given new values to override the original settings.

## Author

Fabian E. Bachl bachlfab@gmail.com

## Examples

```
# \donttest{
if (bru_safe_inla()) {
# Simulate some covariates x and observations y
input.df <- data.frame(x = cos(1:10))
input.df <- within(input.df, {
y <- 5 + 2 * x + rnorm(10, mean = 0, sd = 0.1)
})
# Fit a Gaussian likelihood model
fit <- bru(y ~ x + Intercept(1), family = "gaussian", data = input.df)
# Obtain summary
fit$summary.fixed
}
#> Changing INLA option num.threads from '4:1' to '1:1'.
#> mean sd 0.025quant 0.5quant 0.975quant mode
#> x 2.027702 0.05210915 1.923574 2.027703 2.131825 2.027703
#> Intercept 4.959784 0.03684149 4.886164 4.959785 5.033398 4.959784
#> kld
#> x 5.770443e-06
#> Intercept 5.770647e-06
if (bru_safe_inla()) {
# Alternatively, we can use the like() function to construct the likelihood:
lik <- like(family = "gaussian",
formula = y ~ x + Intercept,
data = input.df)
fit <- bru(~ x + Intercept(1), lik)
fit$summary.fixed
}
#> mean sd 0.025quant 0.5quant 0.975quant mode
#> x 2.027702 0.05211308 1.923566 2.027703 2.131833 2.027703
#> Intercept 4.959784 0.03684427 4.886158 4.959785 5.033404 4.959784
#> kld
#> x 5.766617e-06
#> Intercept 5.766822e-06
# An important addition to the INLA methodology is bru's ability to use
# non-linear predictors. Such a predictor can be formulated via like()'s
# \code{formula} parameter. The z(1) notation is needed to ensure that
# the z component should be interpreted as single latent variable and not
# a covariate:
if (bru_safe_inla()) {
z <- 2
input.df <- within(input.df, {
y <- 5 + exp(z) * x + rnorm(10, mean = 0, sd = 0.1)
})
lik <- like(
family = "gaussian", data = input.df,
formula = y ~ exp(z) * x + Intercept
)
fit <- bru(~ z(1) + Intercept(1), lik)
# Check the result (z posterior should be around 2)
fit$summary.fixed
}
#> mean sd 0.025quant 0.5quant 0.975quant mode
#> z 2.000938 0.006940269 1.987069 2.000938 2.014806 2.000938
#> Intercept 5.019976 0.036290850 4.947456 5.019976 5.092490 5.019976
#> kld
#> z 5.769379e-06
#> Intercept 5.769206e-06
# }
```