# Chaotic Method for Generating q-Gaussian Random Variables

@article{Umeno2012ChaoticMF, title={Chaotic Method for Generating q-Gaussian Random Variables}, author={Ken Umeno and Aki-Hiro Sato}, journal={IEEE Transactions on Information Theory}, year={2012}, volume={59}, pages={3199-3209} }

This study proposes a pseudorandom number generator of q -Gaussian random variables for a range of q values, -∞ <; q <; 3, based on deterministic chaotic map dynamics. Our method consists of chaotic maps on the unit circle and map dynamics based on the piecewise linear map. We perform the q-Gaussian random number generator for several values of q and conduct both Kolmogorov-Smirnov (KS) and Anderson-Darling (AD) tests. The q-Gaussian samples generated by our proposed method pass the KS test at…

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