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gptkbp:instanceOf
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gptkb:stochastic_process
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gptkbp:describedYear
|
1713
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gptkbp:distributionOfSum
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gptkb:binomial_distribution
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gptkbp:eachTrial
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gptkb:Bernoulli_trial
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gptkbp:firstDescribed
|
gptkb:Ars_Conjectandi
gptkb:Jacob_Bernoulli
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gptkbp:hasApplication
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digital communication
finance
genetics
quality control
reliability engineering
modeling binary outcomes
modeling coin tosses
modeling success/failure experiments
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gptkbp:hasProperty
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each variable has two possible outcomes
sequence of independent random variables
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gptkbp:hasSpecialCase
|
gptkb:discrete-time_Markov_process
random process
|
|
https://www.w3.org/2000/01/rdf-schema#label
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Bernoulli process
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gptkbp:independenceDate
|
trials are independent
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gptkbp:namedAfter
|
gptkb:Jacob_Bernoulli
|
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gptkbp:probabilityOfFailure
|
1-p
|
|
gptkbp:probabilityOfSuccess
|
p
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gptkbp:relatedTo
|
gptkb:Bernoulli_trial
gptkb:Poisson_process
gptkb:binomial_distribution
|
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gptkbp:result
|
failure
success
|
|
gptkbp:stationarity
|
probability of success is constant
|
|
gptkbp:usedIn
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gptkb:information_theory
gptkb:machine_learning
gptkb:probability_theory
queueing theory
statistics
|
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gptkbp:bfsParent
|
gptkb:Poisson_Processes
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gptkbp:bfsLayer
|
5
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