The problem of finding admissible and asymptotically optimal (in the sense of Robbins) compound and empirical Bayes rules is investigated, when the component problem is estimation of the mean of a Gaussian distribution (with a known one-to-one covariance C) on a real separable infinite...

Ferguson (1973) states that the topological support of a Dirichlet prior on the Borel [sigma]-field (with respect to the weak convergence topology) of the set of all probability measures on the lines is the set of all probability measures with their topological supports contained in that of the...

When is the pointwise limit of the characteristic functions of a sequence {Xn} of random elements taking values in a real separable Hilbert space H the characteristic function of a H valued random element? Uniform tightness of {[short parallel]Xn[short parallel]:n[greater-or-equal, slanted]1} is...

A Central Limit Theorem for a triangular array of row-wise independent Hilbert-valued random elements with finite second moment is proved under mild convergence requirements on the covariances of the row sums and the Lindeberg condition along the evaluations at an orthonormal basis. A Central...

Uniform bounds on rates of L1-consistency for the empiric mean of state sequences in a family of probability models (compound with finite-mixture-state component) are obtained for MLEs (Section sec2) and posterior means for quasi-uniform hyperpriors (Section sec3), both determined in the iid...

Given two probability distributions on ,defines a metric for convergence in distribution. Theoretical properties and computational advantages (with potential applications) of [gamma] are discussed.

China has been engaging in one of the world's largest ecological conservation programs, the Slope Land Conversion Program (SLCP), which is also called the grain-for-green policy. This paper is intended to address the economic impacts of shifting from farm lands to four other land use options...