Local maxima Feller says that unimodal distribution is a distribution function that is convex up to the mode and concave beyond it Thus it may have density taking maximal values on an interval say uniform distribution on 0 1 In this case all points in 0 1 are local maxima or there aren t any if we consider strict peaks only Therefore I suggest a more general definition of a unimodal function a function whose local maxima make up an interval Moreover it might be worth replacing this allows for the possibility of a non zero probability for x m with in this case the distribution may have density everywhere except possibly m this allows for the possibility of a non zero probability for x m