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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 in Probability, Analysis, and Number Theory
, 1959 Mark Kac
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1980 Philipp Müller
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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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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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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 ...
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Probability theory for number of mixture components resolved by n independent columns
Journal of Chromatography A, 2005A general theory is proposed for the probability of different outcomes of success and failure of component resolution, when complex mixtures are partially separated by n independent columns. Such a separation is called an n-column separation. An outcome of particular interest is component resolution by at least one column. Its probability is identified
Joe M, Davis, Leonid M, Blumberg
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Cumulative reaction probability from time independent scattering theory
The Journal of Chemical Physics, 1995The formally exact expression for the cumulative reaction probability, N(E), was first derived by Miller, Schwartz and Tromp (MST) [J. Chem. Phys. 79, 4889 (1983)] from the flux–flux time-dependent expression for the thermal rate constant. We derive the MST formula for N(E) from the time-independent expression for the state-to-state transition ...
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Physical Review A, 2001
The cumulative reaction probability (CRP) is a gross characteristic of rearrangement collision processes defining the reaction rate constant. This paper presents a complete development of the approach to the theory of CRP that we have recently proposed [Phys. Rev. Lett. 80, 41 (1998)]. In the core of this approach lies an alternative expression for CRP
Oleg I. Tolstikhin +2 more
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The cumulative reaction probability (CRP) is a gross characteristic of rearrangement collision processes defining the reaction rate constant. This paper presents a complete development of the approach to the theory of CRP that we have recently proposed [Phys. Rev. Lett. 80, 41 (1998)]. In the core of this approach lies an alternative expression for CRP
Oleg I. Tolstikhin +2 more
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