Algebra Random Variables Axiom (1 results)

Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In the algebraicaxiomatization of probability theory, the primary concept is not that ofprobability of an event, but rather that of a random variable.Probability distributions are determined by assigning an expectation toeach random variable. The measurable space and the probability measurearise from the random variables and expectations by means of well-knownrepresentation theorems of analysis. One of the important features ofthe algebraic approach is that apparently infinite-dimensionalprobability distributions are not harder to formalize thanfinite-dimensional ones.…