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On Estimation of Poisson Intensity Functions
Authors:Roelof Helmers  Ričardas Zitikis
Institution:(1) Centre for Mathematics and Computer Science, Kruislaan 413, 1098 SJ Amsterdam, The Netherlands;(2) Laboratory for Research in Statistics and Probability, Carleton University, 1125 Colonel By Drive, Ottawa, Canada, K1S 5B6
Abstract:Under the presence of only one realization, we consider a computationally simple algorithm for estimating the intensity function of a Poisson process with exponential quadratic and cyclic of fixed frequency trends. We argue that the algorithm can successfully be used to estimate any Poisson intensity function provided that it has a parametric form.
Keywords:Poisson process  point process  linear Poisson process  modulated Poisson process
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