The Cauchy distribution is often used in statistics as the canonical example of a "pathological" distribution since both its expected value and its variance are ... Lévy distribution · Stable distribution · Witch of Agnesi · Poisson kernel

10 сент. 2012 г. · The conclusion of the Law of Large Numbers fails for a Cauchy distribution, so it can't have a mean. If you average n independent Cauchy random variables, the ... What makes the mean of some distributions undefined? What is the distribution of sample means of a Cauchy ... Is Cauchy distribution somehow an "unpredictable" distribution? What happens when you try to find standard deviation of a (non ... Другие результаты с сайта stats.stackexchange.com

24 авг. 2023 г. · The Cauchy distribution does not have a finite or infinite mean, consequently, it does not have a finite variance. On the other hand, its median is 0. Why does the Cauchy distribution have no mean? - Quora What is the intuition behind distributions without means? - Quora Другие результаты с сайта www.quora.com

It is a “pathological” distribution, i.e. both its expected value and its variance are undefined.