Probability Space

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo Events
Stochastic Processes
Random Variables
gptkbp:basisFor gptkb:Modern_Probability_Theory
gptkbp:definedIn triple (Ω, F, P)
gptkbp:enables Definition of Probability Distributions
gptkbp:formedBy gptkb:Andrey_Kolmogorov
gptkbp:hasAxiom Normalization
Countable Additivity
Non-negativity
gptkbp:hasComponent Sample Space
Probability Measure
Sigma Algebra
gptkbp:hasNotationFor (Ω, F, P)
gptkbp:hasProperty F is a sigma-algebra of subsets of Ω
P is countably additive
P(Ω) = 1
https://www.w3.org/2000/01/rdf-schema#label Probability Space
gptkbp:studiedIn gptkb:Measure_Theory
gptkbp:usedIn Probability Theory
gptkbp:bfsParent gptkb:Nancy_Kress
gptkbp:bfsLayer 5