Results 231 to 240 of about 511,438 (289)
Review: Mark Kac, Slatistical independence in probability, analysis and number theory
, 1960 openaire +1 more source
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
On Independence of Events in Noncommutative Probability Theory
Lobachevskii Journal of Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
А. М. Бикчентаев +1 more
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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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Qualitative independence in probability theory
Theory and Decision, 1978 Probability 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.
R. Duncan Luce, Louis Narens
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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 ...
W. Driessler, Ivan F. Wilde
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Conditional independence in probability theory on MV-algebras
Soft Computing, 2003 The author considers a weakly \(\sigma\)-distributive MV-algebra \(M\) and a state on \(M\). He defines the conditional independence of two observables \(x_1\), \(x_2\) given an observable \(x_3\), and he shows that the notion has properties that are analogous to the independence in the Kolmogorov theory.
Tomáš Kroupa
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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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