Ginestet, Cedric E.; Simmons, Andrew; Kolaczyk, Eric D. - In: Statistics & Probability Letters 82 (2012) 10, pp. 1859-1863
In this short note, we study the properties of the weighted Frechet mean as a convex combination operator on an arbitrary metric space (Y,d). We show that this binary operator is commutative, non-associative, idempotent, invariant to multiplication by a constant weight and possesses an identity...