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Probability Spaces

James Davidson

in Stochastic Limit Theory: An Introduction for Econometricians

Published in print:
1994
Published Online:
November 2003
ISBN:
9780198774037
eISBN:
9780191596117
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198774036.003.0007
Subject:
Economics and Finance, Econometrics

This chapter defines probability measures and probability spaces in a general context, as a case of the concepts introduced in Ch. 3. The axioms of probability are explained, and the important ... More


Classical Probability Theory and Stochastic Processes

Heinz-Peter Breuer and Francesco Petruccione

in The Theory of Open Quantum Systems

Published in print:
2007
Published Online:
January 2010
ISBN:
9780199213900
eISBN:
9780191706349
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199213900.003.01
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter contains a survey of classical probability theory and stochastic processes. It starts with a description of the fundamental concepts of probability space and Kolmogorov axioms. These ... More


Refining Risk Minimisation: The Impossibility Results

Martin Smith

in Between Probability and Certainty: What Justifies Belief

Published in print:
2016
Published Online:
March 2016
ISBN:
9780198755333
eISBN:
9780191816635
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198755333.003.0010
Subject:
Philosophy, Metaphysics/Epistemology, Philosophy of Science

A number of epistemologists have attempted to refine the risk minimisation conception of justification, proposing more complex probabilistic rules for justification that enable one to avoid the ... More


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