Results 241 to 250 of about 651,740 (292)
Stochastic independence in non-commutative probability theory
Mathematical Proceedings of the Cambridge Philosophical Society, 1979 AbstractFor a family {Xα} of random variables over a probability space , stochastic independence can be formulated in terms of factorization properties of characteristic functions. This idea is reformulated for a family {Aα} of selfadjoint operators over a probability gage space and is shown to be inappropriate as a non-commutative generalization ...
Wulf Driessler, I. F. Wilde
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Conditional independence in probability theory on MV-algebras
Soft Computing, 2003 Conditional independence relation of observables on an MV-algebra with product is formulated and basic properties are proven. An analogy with a classical definition of conditional independence of random variables is discussed and the MV-algebraic concept of conditioning is further explored.
Tomáš Kroupa
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Statistical Independence in Probability, Analysis and Number Theory.
The American Mathematical Monthly, 1960 Paul D. Minton, Mark Kac
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Probability Theory: Independence, Interchangeability, Martingales (Yuan Shih Chow and Henry Teicher)
SIAM Review, 1980 Stephen M. Samuels
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Statistical Independence in Probability, Analysis and Number Theory (M. Kac)
SIAM Review, 1963 Henry B. Mann
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Statistical Independence and Kolmogorov’s Probability Theory
, 1998 Independently repeated experiments with random outcomes have a formal counter-part in the mathematical concept of statistical independence. The cleanest way to introduce the latter can be found within the framework of Kolmogorov’s axiomatic probability theory which, since the 1930s, became the standard, and by far most widespread, mathematical model of
Manfred Denker +2 more
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Statistical Independence in Probability, Analysis, and Number Theory
, 1959 Mark Kac
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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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Conditional probabilities and statistical independence in quantum theory
Journal of Mathematical Physics, 1978 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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