jax.random.lognormal#
- jax.random.lognormal(key, sigma=np.float32(1.0), shape=None, dtype=<class 'float'>)[source]#
Sample lognormal random values with given shape and float dtype.
The values are distributed according to the probability density function:
\[f(x) = \frac{1}{x\sqrt{2\pi\sigma^2}}\exp\left(-\frac{(\log x)^2}{2\sigma^2}\right)\]on the domain \(x > 0\).
- Parameters:
key (ArrayLike) – a PRNG key used as the random key.
sigma (RealArray) – a float or array of floats broadcast-compatible with
shaperepresenting the standard deviation of the underlying normal distribution. Default 1.shape (Shape | None | None) – optional, a tuple of nonnegative integers specifying the result shape. The default (None) produces a result shape equal to
().dtype (DTypeLikeFloat) – 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
shape.- Return type: