Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:axiomatic_system
gptkb:probability_theory_concept |
| gptkbp:basisFor |
measure-theoretic probability
|
| gptkbp:countryOfPublication |
gptkb:German
|
| gptkbp:field |
gptkb:probability_theory
|
| gptkbp:firstAxiom |
Non-negativity: For any event A, P(A) ≥ 0
|
| gptkbp:formedBy |
gptkb:Andrey_Kolmogorov
1933 |
| gptkbp:influenced |
modern probability theory
|
| gptkbp:numberOfAxioms |
3
|
| gptkbp:publishedIn |
Grundbegriffe der Wahrscheinlichkeitsrechnung
|
| gptkbp:secondAxiom |
Normalization: P(Ω) = 1, where Ω is the sample space
|
| gptkbp:thirdAxiom |
Additivity: For any countable sequence of mutually exclusive events A1, A2, ..., P(∪Ai) = ΣP(Ai)
|
| gptkbp:bfsParent |
gptkb:Andrey_Nikolaevich_Kolmogorov
gptkb:Andrey_Nikolayevich_Kolmogorov |
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Kolmogorov's axioms
|