Problem of uniqueness in the renewal process generated by the uniform distribution. (1992)

• Record Type: Journal Article
• Authors: Ugrin-Šparac, D.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 5:Number 4(1992)
• Page Start: 291
• Page End: 305
• Publication Date: 1992
• Subjects: renewal process -- tests of pseudo-random number generators -- piece-wise entire density of exponential type -- Gamma-function; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953392000248
• Languages: English
• ISSNs: 1048-9533

Abstract

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.