Integral representations

theorem

fundamental result in measure theory that expresses the relationship between two measures defined on the same measurable space

measure on the σ-algebra of Borel sets of a Hausdorff topological space X that is finite on all compact sets, outer regular on all Borel sets, and inner regular on open sets

generalization of the Lebesgue integral to Banach-space valued functions

theorem that exchangeable observations are conditionally independent relative to some latent variable

statement about linear functionals and measures