Using the CPP model, we can construct an estimator for the Legendre coeﬃcients of the phase function ˆfl , using a “decompounding” formula.
Nonparametric estimation of the heterogeneity of a random medium using Compound Poisson Process modeling of wave multiple scattering
Note that the mean free time τ or equivalently (thanks to velocity normalization) the mean free path ℓ has to be known in the decompounding approach.
Nonparametric estimation of the heterogeneity of a random medium using Compound Poisson Process modeling of wave multiple scattering
Back to the “decompounding” problem, we wish to estimate the Legendre coeﬃcients of f from the samples µκ (T ).
Nonparametric estimation of the heterogeneity of a random medium using Compound Poisson Process modeling of wave multiple scattering
Equation (35) is the “decompounding” formula.
Nonparametric estimation of the heterogeneity of a random medium using Compound Poisson Process modeling of wave multiple scattering
Legendre coeﬃcients used in the decompounding approach.
Nonparametric estimation of the heterogeneity of a random medium using Compound Poisson Process modeling of wave multiple scattering
In order to check the accuracy of the decompounding formula, it is important to analyze at least two sets of data corresponding to two different slab thicknesses.
Nonparametric estimation of the heterogeneity of a random medium using Compound Poisson Process modeling of wave multiple scattering
We show that the angular distribution of intensity in a random medium can be “decompounded” to estimate the power spectrum of heterogeneities in a random medium.
Nonparametric estimation of the heterogeneity of a random medium using Compound Poisson Process modeling of wave multiple scattering
Spreij. A kernel type nonparametric density estimator for decompounding.
Nonparametric estimation of the heterogeneity of a random medium using Compound Poisson Process modeling of wave multiple scattering
Decompounding: An estimation problem for Poisson random sums.
Nonparametric estimation of the heterogeneity of a random medium using Compound Poisson Process modeling of wave multiple scattering
Word normalization and decompounding in mono- and bilingual IR.
Beyond Stemming and Lemmatization: Ultra-stemming to Improve Automatic Text Summarization
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