The Cauchy distribution is often used in statistics as the canonical example of a "pathological" distribution since both its expected value and its variance ...

10 сент. 2012 г. · The value of the integral for the expected value of a Cauchy random variable is said to be undefined because the value can be "made" to be ... 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? Are there any distributions other than Cauchy for which the ... Другие результаты с сайта stats.stackexchange.com

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

23 апр. 2022 г. · First, it is a simple family of distributions for which the expected value (and other moments) do not exist. Second, the family is closed under ... The Standard Cauchy... · The General Cauchy Distribution

21 сент. 2014 г. · I have a problem, where I have to show that the Cauchy distribution has zero mean. I'm in doubt about if I have to show, that the expectation does not exists ... Why is the expectation of cauchy distribution not defined ... expectation of absolute value of cauchy distribution & general ... How to demonstrate Expected value of the standard Cauchy ... Другие результаты с сайта math.stackexchange.com

17 апр. 2012 г. · The graph based on the Cauchy distribution does not settle down to any value, as values an extremely long way from the central value of the ... Why can a probability distribution (like the Cauchy ... - Reddit Doesn't the Cauchy distribution spit in the face of the law of ... Другие результаты с сайта www.reddit.com

However, for Cauchy distribution, this integral does not converge to a real value, which means that the expected value of a Cauchy distribution is undefined.

Expected Value. If the expected value did exist, it would equal the mean, which is zero. However, the mean in a Cauchy doesn't exist (nor do higher moments ...

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

Cauchy Distribution is defined as a symmetric distribution with heavy tails, lacking a mean value, and can be adjusted using location and scale parameters.