Journal of Applied Mathematics and Stochastic Analysis
Volume 5 (1992), Issue 4, Pages 291-305
doi:10.1155/S1048953392000248
Abstract
The renewal process generated by the uniform distribution, when
interpreted as a transformation of the uniform distribution into a discrete
distribution, gives rise to the question of uniqueness of the inverse image.
The paper deals with a particular problem from the described domain,
that arose in the construction of a complex stochastic test intended to
evaluate pseudo-random number generators. The connection of the
treated problem with the question of a unique integral representation of
Gamma-function is also mentioned.