jax.random.t#
- jax.random.t(key, df, shape=(), dtype=<class 'float'>)[source]#
Sample Student’s t random values with given shape and float dtype.
The values are distributed according to the probability density function:
\[f(t; \nu) \propto \left(1 + \frac{t^2}{\nu}\right)^{-(\nu + 1)/2}\]Where \(\nu > 0\) is the degrees of freedom, given by the parameter
df.- Parameters:
key (Array | ndarray | bool_ | number | bool | int | float | complex) – a PRNG key used as the random key.
df (Array | ndarray | bool_ | number | bool | int | float | complex) – a float or array of floats broadcast-compatible with
shaperepresenting the degrees of freedom parameter of the distribution.shape (Sequence[int]) – optional, a tuple of nonnegative integers specifying the result shape. Must be broadcast-compatible with
df. The default (None) produces a result shape equal todf.shape.dtype (str | type[Any] | dtype | SupportsDType) – optional, a float dtype for the returned values (default float64 if jax_enable_x64 is true, otherwise float32).
- Returns:
A random array with the specified dtype and with shape given by
shapeifshapeis not None, or else bydf.shape.- Return type: