sig.kurtosis
Statistical description of distributions, such as spectral distribution (sig.spectrum). Kurtosis is the fourth standardized moment. Kurtosis is more commonly defined as the fourth cumulant divided by the square of the variance of the probability distribution, which is known as excess kurtosis. The "minus 3" at the end of this formula is often explained as a correction to make the kurtosis of the normal distribution equal to zero. Another reason can be seen by looking at the formula for the kurtosis of the sum of random variables. Because of the use of the cumulant, if Y is the sum of n independent random variables, all with the same distribution as X, then Kurt[Y] = Kurt[X] / n, while the formula would be more complicated if kurtosis were simply defined as fourth standardized moment. (Wikipedia)
sig.kurtosis accepts either:
- sig.Spectrum objects
- If the input is a waveform, a file name, or the ‘Folder’ keyword, the centroid is computed on the spectrum (spectral kurtosis).
- any other distribution
‘Frame’ performs first a frame decomposition, with by default a frame length of 50 ms and half overlapping. For the specification of other frame configuration using additional parameters, cf. this page.
