Logo

Foundations of Constructive Probability Theory

Small book cover: Foundations of Constructive Probability Theory

Foundations of Constructive Probability Theory
by

Publisher: arXiv.org
Number of pages: 517

Description:
We provide a systematic, thorough treatment of the foundations of probability theory and stochastic processes along the lines of E. Bishop's constructive analysis. Every existence result presented shall be a construction; and the input data, the construction procedure, and the output objects shall be regarded as integral parts of the theorem.

Home page url

Download or read it online for free here:
Download link
(4.1MB, PDF)

Similar books

Book cover: ProbabilityProbability
by - Trinity College
This material was made available for the course Probability of the Mathematical Tripos. Contents: Basic Concepts; Axiomatic Probability; Discrete Random Variables; Continuous Random Variables; Inequalities, Limit Theorems and Geometric Probability.
(2505 views)
Book cover: Probability on Trees and NetworksProbability on Trees and Networks
by - Cambridge University Press
This book is concerned with certain aspects of discrete probability on infinite graphs that are currently in vigorous development. Of course, finite graphs are analyzed as well, but usually with the aim of understanding infinite graphs and networks.
(2443 views)
Book cover: Extracting Information from Random DataExtracting Information from Random Data
by - arXiv
We formulate conditions for convergence of Laws of Large Numbers and show its links with of parts mathematical analysis such as summation theory, convergence of orthogonal series. We present also various applications of Law of Large Numbers.
(2156 views)
Book cover: Recent Progress on the Random Conductance ModelRecent Progress on the Random Conductance Model
by - arXiv
Recent progress on understanding of the Random Conductance Model is reviewed and commented. A particular emphasis is on the results on the scaling limit of the random walk among random conductances for almost every realization of the environment.
(5816 views)