# Questions tagged [normal-distribution]

This tag is for questions on the Gaussian, or normal probability distribution, which may include multi-dimensional normal distribution. The normal distribution is the most common type of distribution assumed in technical stock market analysis and in other types of statistical analyses.

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### How can I make a values out of two groups that have seperate normal distributions?

I am doing a graduation research and got stuck for two weeks solving this problem. I am not a expert in mathematics so I might use the wrong expressions. I have sensor data that measures the movement ...
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### computing the expected value of two dependent normally distributed variables

Let us assume that $D$ ~ $N(\bar{D}, \sigma^2)$ and $z$ ~$N(0, \sigma_z^2)$ D and z are dependent variables How can calculate $E(D z)$ = ? Thank you!
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### $exp$ of Half-Normal Distribution

I know that the Half-Normal Distribution has moments of all orders - that is, if $X\sim\mathcal{N}(\mu,\sigma)$, then, $$E[|X|^p]<\infty$$ However, do we also have $$E[e^{|X|}]<\infty$$ ? ...
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### Weaker version of Central Limit Theorem

The Central Limit Theorem applies to i.i.d random variables. I’ve seen mention of a version of the CLT that applies to the sum of random variables that while independent, are not identically ...
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### Bound Hypergeometric distribution by Gauss distribution

I want to lower bound the pdf of a Hypergeometric distribution $H(N,K,K)$, which has equal number of success states and number of draws with the pdf of a normal distribution. With the central limit ...
I am searching something similar to the first order loss function ( $\mathbb{E}[max({y_{i}-y_{i},0})])$ (where $y_{i}$ is normally distributed) but for $\mathbb{E}[min(y_{i},d_{i})]$ , where $y_{i}$ ...