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Transactions of the American Mathematical Society

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A constructive approach to the theory of stochastic processes

Author: Yuen Kwok Chan
Journal: Trans. Amer. Math. Soc. 165 (1972), 37-44
MSC: Primary 60A05; Secondary 02E05, 60G05
MathSciNet review: 0365642
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Abstract: Some basic problems in probability theory will be considered with the constructive point of view. Among them are the construction of measurable stochastic processes from finite joint probabilities, and the construction of interesting random variables related to a given process. These random variables include (1) the first instant when a process has spent a definite length of time in a definite set, and (2) the value of another process at such an instant.

References [Enhancements On Off] (What's this?)

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Keywords: Constructive mathematics, probability spaces, measurable stochastic processes, Kolmogorov's Theorem, first crossing times, stopping times
Article copyright: © Copyright 1972 American Mathematical Society

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