probability of obtaining a datum with intensity yi given that it
belongs to the kth Gaussian (ci = k) and that the kth Gaussian is
parameterised by nu_k and sigma_k^2' is given by the probability density function of a gaussian distribution. But since we are dealing with a continuous data set of intensity, the probability that the voxel intensity is equal to a certain value is zero, we can only ask what is the probability that the intensity is in a certain range and that too will be given by the integral of the gaussian function in that range.
Could someone please clarify these points for me, especially the second question.
Thanks,
Sasha