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Isotropic Multiple Scattering Processes on Hyperspheres
This paper presents several results about isotropic random walks and multiple
scattering processes on hyperspheres . It allows one to
derive the Fourier expansions on of these processes. A
result of unimodality for the multiconvolution of symmetrical probability
density functions (pdf) on is also introduced. Such
processes are then studied in the case where the scattering distribution is von
Mises Fisher (vMF). Asymptotic distributions for the multiconvolution of vMFs
on are obtained. Both Fourier expansion and asymptotic
approximation allows us to compute estimation bounds for the parameters of
Compound Cox Processes (CCP) on .Comment: 16 pages, 4 figure
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