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: Radically Elementary Probability TheoryRadically Elementary Probability Theory
by - Princeton University Press
In this book Nelson develops a new approach to probability theory that is just as powerful as but much simpler than conventional Kolmogorov-style probability theory used throughout mathematics for most of the 20th century.
(19531 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.
(7586 views)
Book cover: Lectures on Elementary ProbabilityLectures on Elementary Probability
by - University of Arizona
From the table of contents: Combinatorics; Probability Axioms; Discrete Random Variables; The Bernoulli Process; Continuous Random Variables; The Poisson Process; The weak law of large numbers; The central limit theorem; Estimation.
(11054 views)
Book cover: Lectures on Measure Theory and ProbabilityLectures on Measure Theory and Probability
by - Tata institute of Fundamental Research
Measure Theory (Sets and operations on sets, Classical Lebesgue and Stieltjes measures, Lebesgue integral); Probability (Function of a random variable, Conditional probabilities, Central Limit Problem, Random Sequences and Convergence Properties).
(14358 views)