# Mixture of components in the same family

Source:`R/distributions-mixture_same_family.R`

`distr_mixture_same_family.Rd`

The `MixtureSameFamily`

distribution implements a (batch of) mixture
distribution where all component are from different parameterizations of
the same distribution type. It is parameterized by a `Categorical`

selecting distribution" (over `k`

component) and a component
distribution, i.e., a `Distribution`

with a rightmost batch shape
(equal to `[k]`

) which indexes each (batch of) component.

## Usage

```
distr_mixture_same_family(
mixture_distribution,
component_distribution,
validate_args = NULL
)
```

## Arguments

- mixture_distribution
`torch_distributions.Categorical`

-like instance. Manages the probability of selecting component. The number of categories must match the rightmost batch dimension of the`component_distribution`

. Must have either scalar`batch_shape`

or`batch_shape`

matching`component_distribution.batch_shape[:-1]`

- component_distribution
`torch_distributions.Distribution`

-like instance. Right-most batch dimension indexes component.- validate_args
Additional arguments

## Examples

```
if (torch_is_installed()) {
# Construct Gaussian Mixture Model in 1D consisting of 5 equally
# weighted normal distributions
mix <- distr_categorical(torch_ones(5))
comp <- distr_normal(torch_randn(5), torch_rand(5))
gmm <- distr_mixture_same_family(mix, comp)
}
```