Mathematics

One focus of Ossiander's research is the development of central limit theorems for sums of random functions. Results in this area are intimately connected with the properties of continuous Gaussian and product-Gaussian processes. The exploration of central limit theory in this general setting has involved the development of exponential bounds for the tail probabilities of sums of random variables. Interesting applications include the calculation of rates of convergence of classes of statistical estimators and the construction of stochastic models for physical systems.