Abstract
The extensive development of probability theory during the past thirty five years is largely due to the impetus given it by the axiomatic formulation of Kolmogorov (1933). In this formulation the basic concept is that of a probability space, namely an ordered triplet {X, A, μ} where X is a non-empty set, A is a Boolean σ-algebra of subsets X of and μ is a probability measure on A. A real-valued function X on X is said to be A-measurable when, for any Borel subset B of the real line, the set
is in A. A random variable is just an A-measurable function X with associated probabilities
.
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© 1976 D. Reidel Publishing Company, Dordrecht-Holland
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Finch, P.D. (1976). Quantum Mechanical Physical Quantities as Random Variables. In: Harper, W.L., Hooker, C.A. (eds) Foundations of Probability Theory, Statistical Inference, and Statistical Theories of Science. The University of Western Ontario Series in Philosophy of Science, vol 6c. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1438-0_5
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DOI: https://doi.org/10.1007/978-94-010-1438-0_5
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