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I am studying the data obtained from 370 weather stations distributed worldwide. I have one measure of minimum temperature and precipitations per day from 1980 to 2012.

I have plotted the data, these are the histograms:

enter image description here

enter image description here

I would like to know the distributions asociated to these sets of measures, I am going to try the Kolmogorov-Smirnov test, but I need some distribution to run the test, since I don't recongnise them.

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  • $\begingroup$ The bottom histogram is likely bimodal from the northern and southern hemispheres. $\endgroup$
    – Carl
    Nov 15 '16 at 22:17
  • $\begingroup$ @Carl - presumably the hot peak may be nearer the tropics than the poles. $\endgroup$
    – Henry
    Nov 16 '16 at 0:14
  • $\begingroup$ It seems surprising how narrow the precipitation graph is. Have you averaged over time or location? $\endgroup$
    – Henry
    Nov 16 '16 at 0:17
  • $\begingroup$ Looks gamma distribution like, which would not be shocking, rainfall is sometimes gamma distributed in the lit. $\endgroup$
    – Carl
    Nov 16 '16 at 0:21
  • $\begingroup$ @Henry True, but that is more southern hemisphere in the winter, and more northern in the summer. $\endgroup$
    – Carl
    Nov 16 '16 at 3:30
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What I would do is run a Find Distribution routine like FindDistribution in Mathematica. That would give you a better idea. The first distribution might be a gamma distribution, and the lower one may be a mixture distribution or it might be a U-shaped beta distribution, but, it is better to check against multiple actual models to find the best ones.

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