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Poisson Twister Generator by Cumulative Frequency Technology

1
Department of Information Systems and Computer Science, Bauman Moscow State Technical University, 2nd Baumanskaya St., 5/1, Moscow, Russia
2
Winthrop P. Rockefeller Cancer Institute, University of Arkansas for Medical Sciences, 4301 W. Markham St., Little Rock, AR, USA
*
Author to whom correspondence should be addressed.
Algorithms 2019, 12(6), 114; https://doi.org/10.3390/a12060114
Received: 6 April 2019 / Revised: 14 May 2019 / Accepted: 25 May 2019 / Published: 28 May 2019
(This article belongs to the Special Issue Stochastic Optimization: Algorithms and Applications)
PDF [390 KB, uploaded 28 May 2019]

Abstract

The widely known generators of Poisson random variables are associated with different modifications of the algorithm based on the convergence in probability of a sequence of uniform random variables to the created stochastic number. However, in some situations, this approach yields different discrete Poisson probability distributions and skipping in the generated numbers. This article offers a new approach for creating Poisson random variables based on the complete twister generator of uniform random variables, using cumulative frequency technology. The simulation results confirm that probabilistic and frequency distributions of the obtained stochastic numbers completely coincide with the theoretical Poisson distribution. Moreover, combining this new approach with the tuning algorithm of basic twister generation allows for a significant increase in length of the created sequences without using additional RAM of the computer.
Keywords: pseudorandom number generator; stochastic sequences; Poisson distribution; twister generator pseudorandom number generator; stochastic sequences; Poisson distribution; twister generator
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Deon, A.F.; Menyaev, Y.A. Poisson Twister Generator by Cumulative Frequency Technology. Algorithms 2019, 12, 114.

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