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arXiv · 0807.1918

On the Gaussian q-Distribution

Rafael Diaz·Eddy Pariguan
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Abstract

We present a study of the Gaussian q-measure introduced by Diaz and Teruel from a probabilistic and from a combinatorial viewpoint. A main motivation for the introduction of the Gaussian q-measure is that its moments are exactly the q-analogues of the double factorial numbers. We show that the Gaussian q-measure interpolates between the uniform measure on the interval [-1,1] and the Gaussian measure on the real line.

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Rafael Diaz, Eddy Pariguan. 2009-06-22. On the Gaussian q-Distribution. https://arxiv.org/abs/0807.1918

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