Laplace transformation and weak convergence with an application to Fluorescence Resonance Energy Transfer (FRET)

Abstract

A new distance $d_A$ on Laplace transformations of probability distributions on ${\mathbb{R}}_{+}$ is given. The new complete metric space is shown to be homeomorphic to the topological probability distributions space on ${\mathbb{R}}_{+}$ with weak convergence. A new estimator for the fluorescence source distribution is described.