Distribution is the abstract base class for probability distributions. Note: in Python, adding torch.Size objects works as concatenation Try for example: torch.Size((2, 1)) + torch.Size((1,))

## Public fields

`.validate_args`

whether to validate arguments

`has_rsample`

whether has an rsample

`has_enumerate_support`

whether has enumerate support

## Active bindings

`batch_shape`

Returns the shape over which parameters are batched.

`event_shape`

Returns the shape of a single sample (without batching). Returns a dictionary from argument names to

`torch_Constraint`

objects that should be satisfied by each argument of this distribution. Args that are not tensors need not appear in this dict.`support`

Returns a

`torch_Constraint`

object representing this distribution's support.`mean`

Returns the mean on of the distribution

`variance`

Returns the variance of the distribution

`stddev`

Returns the standard deviation of the distribution TODO: consider different message

## Methods

### Method `new()`

Initializes a distribution class.

#### Usage

`Distribution$new(batch_shape = NULL, event_shape = NULL, validate_args = NULL)`

### Method `expand()`

Returns a new distribution instance (or populates an existing instance
provided by a derived class) with batch dimensions expanded to batch_shape.
This method calls expand on the distribution’s parameters. As such, this
does not allocate new memory for the expanded distribution instance.
Additionally, this does not repeat any args checking or parameter
broadcasting in `initialize`

, when an instance is first created.

### Method `sample()`

Generates a `sample_shape`

shaped sample or `sample_shape`

shaped batch of
samples if the distribution parameters are batched.

### Method `rsample()`

Generates a sample_shape shaped reparameterized sample or sample_shape shaped batch of reparameterized samples if the distribution parameters are batched.

### Method `icdf()`

Returns the inverse cumulative density/mass function evaluated at
`value`

.

@description
Returns tensor containing all values supported by a discrete
distribution. The result will enumerate over dimension 0, so the shape
of the result will be `(cardinality,) + batch_shape + event_shape (where `

event_shape = ()`for univariate distributions). Note that this enumerates over all batched tensors in lock-step`

list(c(0, 0), c(1, 1), ...)`. With `

expand=FALSE`, enumeration happens along dim 0, but with the remaining batch dimensions being singleton dimensions, `

list(c(0), c(1), ...)`.

### Method `enumerate_support()`

### Method `.extended_shape()`

Returns the size of the sample returned by the distribution, given
a `sample_shape`

. Note, that the batch and event shapes of a distribution
instance are fixed at the time of construction. If this is empty, the
returned shape is upcast to (1,).

### Method `.validate_sample()`

Argument validation for distribution methods such as `log_prob`

,
`cdf`

and `icdf`

. The rightmost dimensions of a value to be
scored via these methods must agree with the distribution's batch
and event shapes.