I have some circular data (ie, angles in $[0, 2\pi)$), and I need to analyze it in terms of its modes. I hope this is the right place to ask for help solving this.
The main thing I need to be able to distinguish is if the data is uniform, uni-modal or bi-modal, and identify the mode(s) and their respective dispersions (if they exist). The data is histograms of angles rather than raw angle values.
To make matters more complicated, the data might have more than 2 modes. If this is the case, it would suffice to identify the two strongest modes, but the existence of a third mode shouldn't affect the estimate of the second or first modes.