Then, I used the theorem that the sum of two normals is also normal with a mean that is the sum of the two original normals and a variance that is a sum of the variances of the original normals. Going by …

May 14, 2015 · I have a question about Half Normal Distribution. Suppose that $x$ is Normally Distributed with zero mean $(\\mu=0)$ and variance $(0<\\sigma^2 <1)$. I want to ...

Nov 27, 2017 · Sum of Independent Half-Normal Distributions with unequal variance Ask Question Asked 8 years, 1 month ago Modified 4 years, 8 months ago

Nov 15, 2019 · The result I have read on Wikipedia page of folded normal distribution says that it is $$\phi (t)=2e^ {-\frac {\sigma^2t^2} {2}}\Phi (i\sigma t)$$ I am stuck on how to derive that. I am …

The folded normal distribution is not a stable distribution. That is, the distribution of the sum of its random variables do not form a folded normal distribution. We can see this from the characteristic (or …

Apr 23, 2015 · Since the original distribution is symmetric about $0$, the density for positive values of the absolute value is double the density of the original random variable for the same value, while the …

If we chop a standard normal distribution in half and use only the positive side (scaled up by a factor of $2$ to maintain a proper density), then we get the so-called ‘half normal’ density:

May 11, 2024 · For questions about the half-normal distribution. It's a non-negative distribution based on the normal distribution.

Jan 23, 2025 · Explore related questions probability probability-distributions normal-distribution expected-value See similar questions with these tags.

Jul 18, 2023 · From the rotational symmetry, we know that if we rotate the bell, we still get the normal distribution, so the radius, which is constrained to be positive, must follow a half-normal distribution.