本文给出了离散柯西分布的特征函数。Cacoullos）
The characteristic function of the discrete Cauchy distribution (In Memory of T. Cacoullos)
摘要：
引入了一类新的整数值Cauchy型分布族{ \it Cauchy-Cacoullos族}。评价的特征函数，表现出一些有趣的分布特性，类似于普通（连续）柯西尺度家庭。所得结果可推广到离散的奇数自由度Student型分布。关键词：傅里叶级数;离散学生分布;柯西-卡库洛族。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
