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The limiting distribution of a random variable transformed by Chebyshev Polynomials
Javier Chico Vazquez, Andrew J. Horning · 2023-10-26 · via math.PR updates on arXiv.org

In this paper we present the result of successively applying a Chebyshev polynomial to a continuous random variable. In particular we show that under mild assumptions the limiting distribution will be the same as the weight with respect to which Chebyshev polynomials are orthogonal.

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