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Modelling Function-Valued Stochastic Processes, with Applications to Fertility Dynamics

Modelling Function-Valued Stochastic Processes, with Applications to Fertility Dynamics

Summary We introduce a simple and interpretable model for functional data analysis for situations where the observations at each location are functional rather than scalar. This new approach is based on a tensor product representation of the function-valued process and utilizes eigenfunctions of marginal kernels. The resulting marginal principal components …