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Positive (leptokurtic) and negative (platykurtic) Leptokurtic is heavy tailed, and platykurtic is thin tailed But leptokurtic is more thinner and pointy than platykur. Ask question asked 8 years, 8 months ago modified 6 years, 11 months ago
6 i am trying to understand how the distribution on the right is platykurtic I learned that platykurtic indicates lighter and thinner tails and from what it looks like, the bimodal distribution, with a superimposed normal curve, seems to have a lot more values in the tails The density functions of the standardized variables corresponding to these distributions are shown on the current wikipedia page, and are also shown below 14 i use heavy tail lambert w x f distributions to describe and transform leptokurtic data
Transformation to increase kurtosis and skewness of normal r.v This shows some illustrations of how the densities vary when varying $\delta$. Basically, the difference of a platykurtic distribution from a normal distribution is that the central tendency is weaker, and there is less of a difference between the probabilities of relatively common vs How do i know whether a distribution is leptokurtic or platykurtic by only having the box plot?
Even without this, it appears from your histogram that it is probably leptokurtic It has a higher peak, lower shoulders and fatter tail than the normal distribution From the histogram it looks quite close to a pearson type vi distribution with positive excess kurtosis and possibly some slight positive skew. That seems to match the residuals histogram you show
As noted in the comments, a trimodal distribution seems to fit the ticket as well.
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