1933 FoundationsOfTheTheoryOfProbability

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  • (Kolmogorov, 1933) ⇒ Andrei Kolmogorov. (1933). “Grundbegriffe der Wahrscheinlichkeitsrechnung.” (Foundations of the Theory of Probability.). American Mathematical Society. ISBN:0828400237

Subject Headings: Kolmogorov Probability Function Axiom, Probability Function.


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... Given a mapping of the set [math]E[/math] into a set [math]E'[/math] consisting of any type of elements, i.e., a single-valued function [math]u(e)[/math] defined on [math]E[/math], whose values belong to [math]E'[/math]. To each subset [math]A'[/math] of [math]E'[/math] we shall put ...

... Every distributions function [math]F_{\mu_1 \mu_2 … \mu_n}[/math], satisfying the general conditions of Chap. II, Sec 3, III and also conditions (2) and (3). Every distribution function [math]F_{\mu_1 \mu_2 … \mu_n}[/math] defines uniquely a corresponding probability function [math]\text{P}_{\mu_1 \mu_2 … \mu_n}[/math] for all Borel sets of [math]R^n[/math]. ...,

 AuthorvolumeDate ValuetitletypejournaltitleUrldoinoteyear
1933 FoundationsOfTheTheoryOfProbabilityAndrei N. KolmogorovGrundbegriffe der Wahrscheinlichkeitsrechnung1933
AuthorAndrei Kolmogorov +
titleGrundbegriffe der Wahrscheinlichkeitsrechnung +
year1933 +