Edgeworth Expansion on N{spheres and Jacobi Hypergroups
نویسندگان
چکیده
Suitable normalization of time{homogeneous rotation{invariant random walks on unit spheres S d R d+1 for d > 2 leads to a central limit theorem with a Gaussian limit measure. This paper is devoted to an associated Edgeworth expansion with respect to the total variation norm. This strong type of convergence is diierent from the classical case. The proof is performed in the more general setting of Jacobi{ type hypergroups.
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