We present some matrix and determinant identities for the divided differences of the composite functions, which generalize the divided difference form of Faà di Bruno's formula. Some recent published ...

The extent to which non-host-associated bacterial communities exhibit small-scale biogeographic patterns in their distribution remains unclear. Our investigation of biogeography in bacterial community ...

The Annals of Statistics, Vol. 37, No. 3 (Jun., 2009), pp. 1360-1404 (45 pages) We study the problem of nonparametric estimation of a multivariate function $g ...