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Statistical inference for doubly stochastic multichannel Poisson processes: A PCA approach

R.M. Fernández-Alcalá, J. Navarro-Moreno and J.C. Ruiz-Molina

Computational Statistics & Data Analysis, 2009, vol. 53, issue 12, 4322-4331

Abstract: Efficient computational algorithms for making inferences about the intensity process of an observed doubly stochastic multichannel Poisson process are designed. The proposed solution is based on a numerical version of principal component analysis (PCA) of stochastic processes and hence it can be applied simply with knowledge of the first- and second-order moments of the intensity process of interest. The technique provided is valid for solving all types of estimation problems: filtering, prediction and smoothing.

Date: 2009
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