Hilbert Space Methods in Probability and Statistical Inference

Hilbert Spaces. Probability Theory. Estimating Functions. Orthogonality and Nuisance Parameters. Martingale Estimating Functions and Projected Likelihood. Stochastic Integration and Product Integrals. Estimating Functions and the Product Integral Likelihood for Continuous Time Stochastic Processes. Hilbert Spaces and Spline Density Estimation. Bibliography. Index.