Binomial Distribution, Mixture Models, Em Algorithm, Bioinformatics.
the number of heads, nᵢ, and then put that coin back into the bucket. We do the experiment S times in total, so in the end, we get a list of (n,N) pairs, i.e. we observe the dataset = {(nᵢ, Nᵢ)| i =1,2,…,S}. Our goal is to find Θ which maximizes the likelihood of observing this list of pairs.