1/1/2023 0 Comments Dj mixmax 2013Emerson, “Nonparametric goodness-of-fit tests for discrete null distributions”, The R Journal, vol. Serfling, Approximation Theorems of Mathematical Statistics, New York: John Wiley & Sons, 2009. Knuth, The Art of Computer Programming, Seminumerical Algorithms, Volume 2, 3rd edition, Massachusetts: Addison Wesley, 1998. Simard, “TestU01: A C Library for Empirical Testing of Random Number Generators”, ACM Transactions on Mathematical Software, vol. Rukhin, et al., “A statistical test suite for random and pseudorandom number generators for cryptographic applications”, DTIC Document, 2001. #DJ MIXMAX 2013 SOFTWARE#Srinivasan, “Algorithm 806: SPRNG: A scalable library for pseudorandom number generation”, ACM Transactions on Mathematical Software (TOMS), vol. Marsaglia, “DIEHARD: a battery of tests of randomness”. Savvidy, “The MIXMAX random number generator”, Computer Physics Communications, vol. Savvidy, “Distribution of periodic trajectories of Anosov C-system”, arXiv:1608.03496, 2016. Savvidy, “Spectrum and entropy of C-systems MIXMAX random number generator”, Chaos, Solitons & Fractals, vol. #DJ MIXMAX 2013 GENERATOR#Savvidy, “Matrix generator of pseudo-random numbers”, J.Comput.Phys., vol. Savvidy, “On the Monte Carlo simulation of physical systems”, J.Comput.Phys., vol. Sullivan, “Guest editors introduction: The top 10 algorithms”, Computing in Science & Engineering, vol. Jordan, “An introduction to MCMC for machine learning”, Machine Learning, vol. Sullivan, “The metropolis algorithm”, Computing in Science & Engineering, vol. Rosenthal, “General state space Markov chains and MCMC algorithms”, Probability Surveys, vol. Spiegelhalter, Markov chain Monte Carlo in practice, CRC press, 1995. Bharucha-Reid, Elements of the Theory of Markov Processes and their Applications, Courier Corporation, 2012. Agostinelli et al., “Geant4: a simulation toolkit”, Nucl. The Mersenne Twister is by far the most widely used PRNG in many software packages including packages in High Energy Physics (HEP), however, the results show that MIXMAX is not inferior to Mersenne Twister The results compared with those obtained from other PRNGs, e.g., Mersenne Twister, Ranlux, LCG reveal better qualities for MIXMAX in generating random numbers. In this paper the various statistical tests for MIXMAX are performed. More recently, the MIXMAX PRNG has been included in ROOT and Class Library for High Energy Physics (CLHEP) software packages and claims to be a state of the art generator due to its long period, high performance and good statistical properties. Continued abuse of our services will cause your IP address to be blocked indefinitely.The Pseudo-Random Number Generators (PRNGs) are key tools in Monte Carlo simulations. Please fill out the CAPTCHA below and then click the button to indicate that you agree to these terms. If you wish to be unblocked, you must agree that you will take immediate steps to rectify this issue. If you do not understand what is causing this behavior, please contact us here. If you promise to stop (by clicking the Agree button below), we'll unblock your connection for now, but we will immediately re-block it if we detect additional bad behavior.
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