Beyond the expectation–maximization (EM) algorithm for vector parameters, the EM for an unknown distribution function is often used in mixture models, density estimation, and signal recovery problems. We prove the convergence of the EM in functional spaces and show the EM likelihoods in this...

In this article, we study the power properties of quadratic-distance-based goodness-of-fit tests. First, we introduce the concept of a <italic>root kernel</italic> and discuss the considerations that enter the selection of this kernel. We derive an easy to use normal approximation to the power of quadratic...