Week 3 (gaussians: Uni, Multi, Gamma) Flashcards

(22 cards)

1
Q

4 levels of inference

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2
Q

Relevant of parametric distributions

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3
Q

MLE for Gaussian univariate

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4
Q

Bernoulli dist

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5
Q

Binomial distribution

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6
Q

MLE for Bernoulli

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7
Q

Overfitting on Bernoulli

A

1) if observed values are {0, 0, 0} , μ = 0
2) to avoid overfitting, use a prior
3) conjugate prior

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8
Q

Beta distribution

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9
Q

Bayesian Bernoulli

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10
Q

Asymptotic properties of Bayesian Bernoulli posterior

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11
Q

Predictive posterior for Bayesian Bernoulli

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12
Q

Multivariate Gaussian pdf

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13
Q

Geometry of Multivariate Gaussian

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14
Q

1st moment of Multivariate Gaussian

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15
Q

2nd moment of Multivariate Gaussian and covariance

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16
Q

Bayes theorem for Multivariate Gaussian

17
Q

Construct log likelihood for multi variate Gaussian

18
Q

MLE for multi variate Gaussian

19
Q

Analysis of MLE for multi variate Gaussian

A

Where this alternate MLE for Σ is unbiased

20
Q

Bayesian inference for univariate Gaussian

A

The Gaussian-gamma prior enables conjugate updates

21
Q

Gamma distribution