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The normal, or Gaussian, distribution has a density function that is a symmetrical bell-shaped curve. It is one of the most important distributions in statistics. Use the [normality-assumption] tag for asking about testing for normality.
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Calculating L moments of a standard normal
As part of my research, I am having trouble calculating the 2nd L moment $\lambda_2$ and the third and fourth moment ratios $\tau_3$ and $\tau_4$ of the standard normal distribution, where L moments a …
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Why doesn't this represent a normal approximation to the binomial?
Consider the R code below which shows what the answer is through simulation. You will see that the variance is actually $\dfrac{p(1-p)}{n}$. As the number of samples gets large the distribution of s …