An estimator for decompounding random walks on compact symmetric spaces is built via harmonic analysis and shown to converge in mean squared error, with rates and optimality depending on the space's rank.
Asta, ”Kernel density estimation on symmetric spaces of non-compact type,”Journal of Multivariate Analysis, vol
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Decompounding on Compact Symmetric Spaces
An estimator for decompounding random walks on compact symmetric spaces is built via harmonic analysis and shown to converge in mean squared error, with rates and optimality depending on the space's rank.