# LostTech.TensorFlow : API Documentation

Type Logistic

Namespace tensorflow.contrib.distributions

Parent Distribution

Interfaces ILogistic

The Logistic distribution with location `loc` and `scale` parameters.

#### Mathematical details

The cumulative density function of this distribution is:

```none cdf(x; mu, sigma) = 1 / (1 + exp(-(x - mu) / sigma)) ```

where `loc = mu` and `scale = sigma`.

The Logistic distribution is a member of the [location-scale family]( https://en.wikipedia.org/wiki/Location-scale_family), i.e., it can be constructed as,

```none X ~ Logistic(loc=0, scale=1) Y = loc + scale * X ```

#### Examples

Examples of initialization of one or a batch of distributions.
Show Example
```import tensorflow_probability as tfp
tfd = tfp.distributions  # Define a single scalar Logistic distribution.
dist = tfd.Logistic(loc=0., scale=3.)  # Evaluate the cdf at 1, returning a scalar.
dist.cdf(1.)  # Define a batch of two scalar valued Logistics.
# The first has mean 1 and scale 11, the second 2 and 22.
dist = tfd.Logistic(loc=[1, 2.], scale=[11, 22.])  # Evaluate the pdf of the first distribution on 0, and the second on 1.5,
# returning a length two tensor.
dist.prob([0, 1.5])  # Get 3 samples, returning a 3 x 2 tensor.
dist.sample()  # Arguments are broadcast when possible.
# Define a batch of two scalar valued Logistics.
# Both have mean 1, but different scales.
dist = tfd.Logistic(loc=1., scale=[11, 22.])  # Evaluate the pdf of both distributions on the same point, 3.0,
# returning a length 2 tensor.
dist.prob(3.0) ```

### Public properties

#### objectloc get;

Distribution parameter for the location.

#### objectloc_dyn get;

Distribution parameter for the location.

#### objectscale get;

Distribution parameter for scale.

#### objectscale_dyn get;

Distribution parameter for scale.