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 ...

28 мар. 2022 г. · It is known that the Cauchy distribution has undefined moments, and that the expectation has a principal Cauchy value PV(E[X]) of zero.

12 янв. 2016 г. · It is known that the Large Number Theorem does not apply to Cauchy distribution since it does not have an expectation value. That said, Sn/n ...

3 окт. 2016 г. · The sample means will be themselves Cauchy distributed. In other words, the Cauchy distribution is a stable distribution.

10 сент. 2018 г. · The Cauchy distribution corresponds to α=1, β=0, so that ϕˉXn(t)=ϕX(t) indeed for any scale parameter c>0. In general, ϕˉX ...

26 дек. 2019 г. · It is indeed the behaviour of the density as the argument goes to ±∞ that causes the non-integrability of certain distributions (e.g. Cauchy ...

22 апр. 2023 г. · Standard ways, like having a value less than the expected value, doesn't work since the Cauchy distribution has no mean. I know my question ...

2 сент. 2016 г. · The Cauchy distribution is a disguised form of a very fundamental distribution, namely the uniform distribution on a circle. In formulas, the ...

19 дек. 2023 г. · The expected value of the Cauchy is undefined. It is not equal to infinity. Its variance is equal to infinity. In general, when infinities ...

3 нояб. 2018 г. · The Cauchy is symmetric and roughly bell shaped, somewhat like the normal distribution, it has much heavier tails (and less of a shoulder).