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math.PR2018★ 1 cited
Kernel and wavelet density estimators on manifolds and more general metric spaces
G. Cleanthous, A. Georgiadis, G. Kerkyacharian +2
We consider the problem of estimating the density of observations taking values in classical or nonclassical spaces such as manifolds and more general metric spaces. Our setting is…
math.PR2015
Regularity of Gaussian Processes on Dirichlet spaces
Gerard Kerkyacharian, Shigeyoshi Ogawa, Pencho Petrushev +1
We are interested in the regularity of centered Gaussian processes (Z_x), x in M indexed by compact metric spaces M. It is shown that the almost everywhere Besov space regularity o…