Explore related questions probability probability-distributions normal-distribution expected-value cumulative-distribution-functions See similar questions with these tags.

I am working my way through Think Stats, where the author states that "there is no closed form expression for the normal cumulative density function" but does not provide any further details as...

Apr 4, 2021 · I understand that we can calculate the probability density function (PDF) by computing the derivative of the cumulative distribution formula (CDF), since the CDF is the antiderivative of the …

Apr 8, 2017 · It's square root $2\pi$ in the denominator if it's the cdf of standard normal variable.

Well, there's a definition of erf and a definition of the Normal CDF.. The relations, derivable by some routine calculations, are shown as to how to convert between them, and how to convert between …

Could you please change your $\Phi (x)$ notation to some other notation? $\Phi (x)$ is commonly used to denote the cumulative probability distribution function of the standard normal random variable, and …

Dec 23, 2020 · Why does the cumulative distribution function of the standard normal distribution have point symmetry in (0,0.5)? Ask Question Asked 4 years, 11 months ago Modified 4 years, 11 months …

May 5, 2017 · This is a model of concise explanation at a certain level and contains an example already. It's unclear what level of explanation you seek. An answer could be 10 times longer than this …

Mar 10, 2016 · Just to check on this, the R code for the standard normal CDF is pnorm, and the statement pnorm(0.8416212) returns 0.8 exactly. Here's how it looks in Minitab: MTB > invcdf .8; …

Jan 11, 2025 · My question is how do you calculate a normal CDF using the series expansion without that intermediate step? It's kind of hard to exponentiate infinity, either positive or negative.