pyrtid.utils.random_field.get_log_normalized_mean_from_normal_params#

pyrtid.utils.random_field.get_log_normalized_mean_from_normal_params(mean: float, std: float) → float[source]#

Get the mean of the log-normalized normal distribution.

Let $Z$ be normally distributed. Denote $mu_{Z}$ and $sigma_{Z}$ as the mean and standard deviation of $Z$. The mean $mu$ of $e_{Z}$ is given by:

\[\mu = e^{\mu_{Z} + \tfrac{1}{2}\sigma_{Z}^2}\]

See: https://en.wikipedia.org/wiki/Log-normal_distribution#Arithmetic_moments

Parameters

  • mean (float) – The mean of the normal distribution.

  • std (float) – The standard deviation of the normal distribution.

Returns

The mean of the log-noramlized distribution.

Return type

float