The characteristic function of the discrete Cauchy distribution (In Memory of T. Cacoullos)
Probability
2022-05-10 v2
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.
Keywords
Cite
@article{arxiv.1809.09443,
title = {The characteristic function of the discrete Cauchy distribution (In Memory of T. Cacoullos)},
author = {Nickos Papadatos},
journal= {arXiv preprint arXiv:1809.09443},
year = {2022}
}
Comments
To appear in {\it Journal of Statistical Theory and Practice}. 13 pages, 1 Figure