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math.ST2008
Comparing and interpolating distributions on manifold
Nikolay H. Balov
We are interested in comparing probability distributions defined on Riemannian manifold. The traditional approach to study a distribution relies on locating its mean point and find…
math.ST2008
Covariance of centered distributions on manifold
Nikolay H. Balov
We define and study a family of distributions with domain complete Riemannian manifold. They are obtained by projection onto a fixed tangent space via the inverse exponential map.…