Name
Abstract | ||
|---|---|---|
This paper presents several results about isotropic random walks and multiple scattering processes on hyperspheres ${\\mathbb S}^{p-1}$ . It allows one to derive the Fourier expansions on ${\\mathbb S}^{p-1}$ of these processes. A result of unimodality for the multiconvolution of symmetrical probability density functions on ${\\mathbb S}^{p-1}$ 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 ${\\mathbb S}^{p-1}$ are obtained. Both Fourier expansion and asymptotic approximation allow us to compute estimation bounds for the parameters of compound cox processes on ${\\mathbb S}^{p-1}$ . |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/TIT.2015.2508932 | IEEE Trans. Information Theory |
Keywords | Field | DocType |
Scattering,Probability density function,Harmonic analysis,Compounds,Convolution,Estimation,Approximation methods | Unimodality,Isotropy,Combinatorics,Convolution,Random walk,Mathematical analysis,Fourier transform,Fourier series,Scattering,Probability density function,Mathematics | Journal |
Volume | Issue | ISSN |
abs/1408.2887 | 10 | 0018-9448 |
Citations | PageRank | References |
0 | 0.34 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Nicolas Le Bihan | 1 | 254 | 23.35 |
| Florent Chatelain | 2 | 7 | 2.66 |
| Jonathan H. Manton | 3 | 843 | 71.93 |