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Does the peak of a Normal Distribution mean anything? [closed]

What does the peak of a Normal distribution show? Let's say if I have a flat peak, does this mean I have a larger variance? What if I have a sharp peak? For example, Does the "blue distribution" ...
Math Avengers's user avatar
3 votes
3 answers
851 views

$P(\lvert X - \mu\rvert \geq \sigma)$ as a measure of tailedness

I know that one of the standard measures for the "tailedness" of a distribution is kurtosis, i.e. fourth standardized central moment $\frac{\mu_4}{\sigma^4}$. This measure is sort of intuitive to me: ...
MeyCJey's user avatar
  • 133
4 votes
1 answer
2k views

What is the correct way to add and subtract skewness from a distribution?

If I recall correctly, we can add and subtract variance if variables are independent, and have a mean of 0. I have two distributions that are summed up: (a) one with high variance, low skewness and ...
OGC's user avatar
  • 143
8 votes
3 answers
1k views

Looking for a distribution where: Mean=0, variance is variable, Skew=0 and kurtosis is variable

I am aiming to run simulations in order to estimate the influence of the distribution of $Y$ (independent variable) on a certain binary outcome $X$ (dependent variable). $Y$ must always has a mean of ...
Remi.b's user avatar
  • 5,182