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Conditional probabilities and statistical independence in quantum theory
The problem of defining conditional probabilities and the notion of statistical independence in quantum theory is analyzed. It is shown that (unlike in classical probability theory) the conditional probabilities of a given set of events can be determined only if the sequence of all the experiments performed on the system is also specified.
M. D. Srinivas
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Independent events in elementary probability theory
International Journal of Mathematical Education in Science and Technology, 2011In Probability and Statistics taught to mathematicians as a first introduction or to a non-mathematical audience, joint independence of events is introduced by requiring that the multiplication rule is satisfied. The following statement is usually tacitly assumed to hold (and, at best, intuitively motivated): If the n events E 1, E 2, … , E n are ...
A. Csenki
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This chapter deals with Keynes’s actual way of criticising the classical economic theory compared with his own way of reasoning in A Treatise on Money and the General Theory. This chapter shows the persistence, continuity and coherence of Keynes’s methodological approach in the search for logical fallacies and tacit assumptions.
Anna M. Carabelli
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Probability Theory: Independence, Interchangeability, Martingales.
J. F. C. Kingmán+3 more
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NOTIONS OF INDEPENDENCE IN ALGEBRAIC PROBABILITY THEORY AND SET PARTITION STATISTICS
Yukihiro Hashimoto
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Statistical Independence in Probability, Analysis and Number Theory (M. Kac)
Henry B. Mann
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Statistical Independence and Kolmogorov’s Probability Theory
Manfred Denker, Wojbor A. Woyczyński
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Limit Theorems of Probability Theory: Sequences of Independent Random Variables.
Journal of the Royal Statistical Society. Series A (Statistics in Society), 199614. Limit Theorems of Probability Theory: Sequences of Independent Random Variables. By V. V. Petrov. ISBN 0 19 853499 X. Clarendon, Oxford, 1995. x + 292 pp. £50.00.
Michael J. Phillips, V. V. Petrov
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