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de Finetti's Theorem: Probability theory, Exchangeable random variables, Conditional independence, Latent variable, Bayesian probability, Probability distribution - Softcover

 
9786132829986: de Finetti's Theorem: Probability theory, Exchangeable random variables, Conditional independence, Latent variable, Bayesian probability, Probability distribution

Inhaltsangabe

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In probability theory, de Finetti''s theorem explains why exchangeable observations are conditionally independent given some latent variable to which an epistemic probability distribution would then be assigned. It is named in honor of Bruno de Finetti. It states that an exchangeable sequence of Bernoulli random variables is a mixture" of independent and identically distributed Bernoulli random variables – while the individual variables of the exchangeable sequence are not themselves i.i.d., only exchangeable, there is an underlying family of i.i.d. random variables."

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In probability theory, de Finetti''s theorem explains why exchangeable observations are conditionally independent given some latent variable to which an epistemic probability distribution would then be assigned. It is named in honor of Bruno de Finetti. It states that an exchangeable sequence of Bernoulli random variables is a mixture" of independent and identically distributed Bernoulli random variables – while the individual variables of the exchangeable sequence are not themselves i.i.d., only exchangeable, there is an underlying family of i.i.d. random variables."

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