Abstract:
The normal distribution is popular in many statistical contexts. However, due to its symmetry
and tail behavior it may not necessarily be the best choice to use in many real world applications.
In order to alleviate the aforementioned issues, a symmetric generalised normal distribution that
exhibits flexibility in its tail behavior is proposed as candidate to apply existing skewing methodology
to. Methods to approximate the characteristics of this new distribution and a corresponding
stochastic representation is derived. The skewed version of the generalised normal distribution,
along with other distributions, is used in a distribution fitting context and to approximate particular
binomial distributions as an application.
