What is distribution of wind speed magnitudes at a given geographic location? You could approach this manually like the authors of this paper:
Mixture probability distribution functions to model wind speed distributions
where main conclusion was:
Results show that mixture probability functions are better alternatives to conventional Weibull, two-component mixture Weibull, gamma, and lognormal PDFs to describe wind speed characteristics.
Or you can use Machine Learning and new function FindDistribution. Let's first get a sample of data, say for Boston for recent 5 years:
windBOSTON = WeatherData["Boston", "WindSpeed", {{2010}, {2015}, "Day"}];
DateListPlot[windBOSTON]
Now get the magnitudes and apply FindDistribution
mags = QuantityMagnitude[windBOSTON["Values"]];
dis = FindDistribution[mags]
which gives, guess what, a MixtureDistribution :
MixtureDistribution[{0.711353, 0.288647},
{NormalDistribution[12.8117, 4.74919], LogNormalDistribution[3.06178, 0.308954]}]
Visualizing model versus experimental data looks neat!
Show[
Histogram[mags, Automatic, "ProbabilityDensity", PlotTheme -> "Detailed"],
Plot[PDF[dis, x], {x, 0, 50}, PlotRange -> All]]
Try playing with other locations and see what distributions you get. Not always we will get a MixtureDistribution, wind data at different locations can be quite different.
