Conditional bounds and best L∞-approximations in probability spaces
نویسندگان
چکیده
منابع مشابه
Conditional Probability Spaces
Improper priors are used frequently, but often formally and without reference to a sound theoretical basis. The present paper demonstrates that Kolmogorov’s (1933) formulation of probability theory admits a minimal generalization which includes improper priors and a general Bayes theorem. The resulting theory is closely related to the theory of conditional probability spaces formulated by Renyi...
متن کاملStable Beliefs and Conditional Probability Spaces
This thesis aims to provide a conceptual framework that unifies Leitgeb’s theory of stable beliefs, Battigalli-Siniscalchi’s notion of strong belief and the notions of core, a priori, abnormal and conditional belief studied by Van Fraassen and Arló-Costa. We will first present the difficulties of modeling qualitative notions of belief and belief revision in a quantitative probabilistic setting....
متن کاملRegular Conditional Probability, Disintegration of Probability and Radon Spaces
We establish equivalence of several regular conditional probability properties and Radon space. In addition, we introduce the universally measurable disintegration concept and prove an existence result.
متن کاملConstruction of Best Bregman Approximations in Reflexive Banach Spaces
An iterative method is proposed to construct the Bregman projection of a point onto a countable intersection of closed convex sets in a reflexive Banach space. 1. Problem statement Let (X , ‖ · ‖) be a reflexive real Banach space with dual (X ∗, ‖ · ‖∗) and let f : X → ]−∞,+∞] be a lower semicontinuous (l.s.c.) convex function which is Gâteaux differentiable on int dom f 6= Ø and Legendre [1, D...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1989
ISSN: 0021-9045
DOI: 10.1016/0021-9045(89)90128-7