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February, 1974 Notes on Constructive Probability Theory
Y. K. Chan
Ann. Probab. 2(1): 51-75 (February, 1974). DOI: 10.1214/aop/1176996751

Abstract

This paper is part of the constructive program, initiated by E. Bishop, of systematic examination of classical mathematics for their computational content. From this constructive standpoint, basic concepts in probability theory are studied. Positive proofs are then given to some important theorems: Ionescu-Tulcea's theorem, a submartingale convergence theorem, and the construction of a Markov process from a strongly continuous semi-group of transition operators.

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Y. K. Chan. "Notes on Constructive Probability Theory." Ann. Probab. 2 (1) 51 - 75, February, 1974. https://doi.org/10.1214/aop/1176996751

Information

Published: February, 1974
First available in Project Euclid: 19 April 2007

zbMATH: 0278.60045
MathSciNet: MR356198
Digital Object Identifier: 10.1214/aop/1176996751

Subjects:
Primary: 60J25
Secondary: 02E99, 60G45

Rights: Copyright © 1974 Institute of Mathematical Statistics

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Vol.2 • No. 1 • February, 1974
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