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Problem of uniqueness in the renewal process generated by the uniform distribution

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  • D. Ugrin-parac

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.

Suggested Citation

  • D. Ugrin-parac, 1992. "Problem of uniqueness in the renewal process generated by the uniform distribution," International Journal of Stochastic Analysis, Hindawi, vol. 5, pages 1-15, January.
    • Handle: RePEc:hin:jnijsa:467579
    DOI: 10.1155/S1048953392000248
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