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arXiv · 1809.09443

The characteristic function of the discrete Cauchy distribution (In Memory of T. Cacoullos)

Nickos Papadatos
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Abstract

A new family of integer-valued Cauchy-type distributions is introduced, the {\it Cauchy-Cacoullos family}. The characteristic function is evaluated, showing some interesting distributional properties, similar to the ordinary (continuous) Cauchy scale family. The results are extendable to discrete Student-type distributions with odd degrees of freedom. Keywords: Fourier series; discrete Student distribution; Cauchy-Cacoullos family.

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Nickos Papadatos. 2018-09-25. The characteristic function of the discrete Cauchy distribution (In Memory of T. Cacoullos). https://arxiv.org/abs/1809.09443

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