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Review: Mark Kac, Slatistical independence in probability, analysis and number theory
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APPLICATIONS OF FREE PROBABILITY TO QUANTUM INFORMATION THEORY (Mathematical Studies on Independence and Dependence Structure : Algebra meets Probability)openaire
QUANTIZATION OF INFORMATION THEORY (Mathematical Studies on Independence and Dependence Structure : Algebra meets Probability)openaire
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Qualitative independence in probability theory
Theory and Decision, 1978Probability theory is measure theory specialized by assumptions having to do with stochastic independence. Delete from probability and statistics those theorems that explicitly or implicitly (e.g., by postulating a random sample) invoke independence, and relatively little remains.
Luce, R. Duncan, Narens, Louis
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On Independence of Events in Noncommutative Probability Theory
Lobachevskii Journal of Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bikchentaev A.M., Ivanshin P.N.
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Limit Theorems of Probability Theory: Sequences of Independent Random Variables.
Journal of the American Statistical Association, 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.
V. Paulauskas, Valentin V. Petrov
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Stochastic independence in non-commutative probability theory
Mathematical Proceedings of the Cambridge Philosophical Society, 1979AbstractFor 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 ...
Driessler, Wulf, Wilde, Ivan F.
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A theory of independent fuzzy probability for system reliability
IEEE Transactions on Fuzzy Systems, 1999Fuzzy fault trees provide a powerful and computationally efficient technique for developing fuzzy probabilities based on independent inputs. The probability of any event that can be described in terms of a sequence of independent unions, intersections, and complements may be calculated by a fuzzy fault tree.
J. Dunyak, I.W. Saad, D. Wunsch
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