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Licensed Unlicensed Requires Authentication Published by De Gruyter October 1, 2013

Comparison of random number generators via Fourier transform

  • Junichi Imai EMAIL logo

Abstract.

In this paper, we investigate simple yet practical schemes to generate random variates from the characteristic function of any continuous distribution. We discuss the generation of non-uniform random variates from a uniform random number generator. The inverse of the cumulative distribution function is derived from its characteristic function via the fast Fourier transform. We conduct several numerical experiments to assess the accuracy and efficiency of the schemes.

Received: 2013-04-08
Accepted: 2013-09-23
Published Online: 2013-10-01
Published in Print: 2013-10-01

© 2013 by Walter de Gruyter Berlin Boston

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