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gptkbp:instanceOf
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gptkb:mathematical_concept
|
|
gptkbp:alternativeName
|
probability_theorem
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|
gptkbp:developedBy
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gptkb:Blaise_Pascal
gptkb:Pierre-Simon_Laplace
gptkb:Andrey_Kolmogorov
gptkb:Pierre_de_Fermat
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gptkbp:formalized_in
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20th century
|
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gptkbp:hasApplication
|
gptkb:machine_learning
gptkb:philosophy
biology
computer science
economics
engineering
finance
physics
statistics
|
|
gptkbp:hasConcept
|
gptkb:organization
gptkb:stochastic_process
gptkb:Bayes'_theorem
gptkb:central_limit_theorem
gptkb:law_of_large_numbers
Markov chain
independence
measure theory
variance
conditional probability
expected value
random variable
|
|
gptkbp:hasSubfield
|
gptkb:percolation_theory
gptkb:stochastic_process
gptkb:Bayesian_probability
queueing theory
continuous probability
discrete probability
extreme value theory
frequentist probability
geometric probability
large deviations theory
martingale theory
probabilistic graphical models
probabilistic number theory
random graph theory
random matrix theory
subjective probability
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
probability theory
|
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gptkbp:relatedTo
|
gptkb:information_theory
gptkb:statistical_mechanics
decision theory
ergodic theory
game theory
mathematical analysis
statistics
combinatorics
risk theory
|
|
gptkbp:studies
|
probability
random phenomena
uncertainty
|
|
gptkbp:uses
|
gptkb:event
axioms of probability
probability measure
sample space
sigma-algebra
|
|
gptkbp:bfsParent
|
gptkb:Hillel_Furstenberg
gptkb:Hilbert_space
gptkb:John_Kingman
gptkb:Markov_property
gptkb:Mathematics
gptkb:Paul_Erdős
gptkb:Paul_Halmos
gptkb:Yakov_Sinai
gptkb:information_theory
gptkb:normal_distribution
gptkb:stochastic_process
gptkb:Jean-Michel_Bismut
gptkb:S._R._Srinivasa_Varadhan
gptkb:Andrei_Okounkov
gptkb:Hugo_Duminil-Copin
gptkb:Martin_Hairer
gptkb:Stanislav_Smirnov
gptkb:Jean-François_Le_Gall
gptkb:Theory_of_Machine_Learning
gptkb:statistical_analysis
|
|
gptkbp:bfsLayer
|
4
|