An object of class "vglmff" (see vglmff-class).
The object is used by modelling functions such as vglm,
and vgam.
Details
The standard slash distribution is the distribution of the ratio of
a standard normal variable to an independent standard uniform(0,1) variable.
It is mainly of use in simulation studies.
One of its properties is that it has heavy tails, similar to those of
the Cauchy.
The general slash distribution can be obtained by replacing
the univariate normal variable by a general normal
$N(\mu,\sigma)$ random variable.
It has a density that can be written as
$$f(y) = \left{
\begin{array}{cl}
1/(2 \sigma \sqrt(2 \pi)) & if y=\mu, \
1-\exp(-(((y-\mu)/\sigma)^2)/2))/(\sqrt(2 pi) \sigma ((y-\mu)/\sigma)^2) & if y \ne \mu.
\end{array} \right .$$
where $\mu$ and $\sigma$ are
the mean and standard deviation of
the univariate normal distribution respectively.
References
Johnson, N. L. and Kotz, S. and Balakrishnan, N. (1994)
Continuous Univariate Distributions,
2nd edition, Volume 1, New York: Wiley.
Kafadar, K. (1982)
A Biweight Approach to the One-Sample Problem
Journal of the American Statistical Association,
77, 416--424.