Bayesian inference Flashcards

1
Q

Interpretation of confidence intervals in bayesian inference

A
  • The confidence is the probability that the true value of the parameter is contained in the interval.
  • In the frequentist perspective the confidence is the probability that this specific interval contains the true value of the parameter. Here the random variable is the interval.
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2
Q

Conjugate pairs

A

Both the likelihood and the posterior belong to the same family

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3
Q

Consistency of the bayesian estimators

A
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4
Q

Conjugate prior

A

A prior is conjugate for a family of distributions if the prior and the posteriors are of the same family

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5
Q

Asymptotic normality

A
  • Well specified likelihood is needed to coincide with the asymptotic distribution of the ML estimator
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6
Q

Jeffrey’s prior

A
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7
Q

Kullback leibler

A
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8
Q

Consistency of posterior distribution

A
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9
Q

Bernstein-von Mises

A
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