Polynomial probability distribution estimation using the method of moments
Fig 4
Histograms of household electricity use data with Gram–Charlier PDF (left), Weibull PDF (right) and polynomial PDF (right) fit.
The polynomial distributions were computed from numerically calculated moments on the interval a = 100, b = 5000. A Weibull or Log-Normal PDF is usually a typical choice for this type of data [2].