Statistical maps. I: Basic properties
Slawomir Bugajski · Czech digital mathematics library · 2001
A statistical map is defined to be an affine map between two simplexes of probability measures satisfying a condition of measurability.Relations between statistical maps and some other concepts like: measurable functions, Markov kernels, dual statistical maps, statistical functions and effect valued mea sures are discussed.Continuity properties of statistical maps and their duals are considered.A product of statistical maps is defined and proved to be a statistical map.