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the normal distribution plot for the data (and the rug) and the qqplot

The scatter plot for the data

I have no idea how to interpret this cullen & frey Graph

Hi, I am a student learning financial modelling. I would like some help in determining the distribution of the data given the plots above. I am reluctant to assume normal distribution of the data due to the heavy tails associated with it. The descriptive output is as follows:

summary statistics

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min:  -6.278521   max:  6.278521 
median:  0 
mean:  -0.0001706449 
estimated sd:  0.3364102 
estimated skewness:  -1.695425 
estimated kurtosis:  250.3603 
> kurtosis(data)
[1] 246.7675
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    $\begingroup$ Will hist, density plot, ks test give any help insights? Also, check this answer: stats.stackexchange.com/questions/132652/… $\endgroup$ – Sixiang.Hu Apr 10 '18 at 11:00
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    $\begingroup$ I do not seem to see the qq-plot mentioned. I would be more worried about the apparent relationship between variance and index than about normality itself. $\endgroup$ – mdewey Apr 10 '18 at 11:00
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    $\begingroup$ What is "index"? Is it simply arbitrary? What is the variable? Please show the QQ plot that you mentioned. A density plot would also be good. You can also do quantile plots against a variety of theoretical distributions. $\endgroup$ – Peter Flom - Reinstate Monica Apr 10 '18 at 11:34
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    $\begingroup$ Given the super-long tails, check the Cauchy distribution $\endgroup$ – Tim Apr 10 '18 at 12:17
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    $\begingroup$ It's rarely --if ever-- the case in statistics that one can (or needs) to determine the distribution of the data. The objective in statistics is to determine the distribution of the parameters. $\endgroup$ – user603 Apr 10 '18 at 12:25

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