Slash distribution

In probability theory, the slash distribution is the probability distribution of a standard normal variate divided by an independent standard uniform variate.

The distribution was named by William H. Rogers and John Tukey in a paper published in 1972.

is the probability density function of the standard normal distribution.

[3] The quotient is undefined at x = 0, but the discontinuity is removable: The most common use of the slash distribution is in simulation studies.

[3] This article incorporates public domain material from the National Institute of Standards and Technology