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5 Cards in this Set
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Define likelihood function
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The likelihood of a set of parameter values, θ, given observed outcomes X, is the probability of observed outcomes X given those parameter values.
L(θ|X) = P(X|θ) NB: likelihood is not a pdf, it is a real value. It iss the probability of observing x1 and ... and xn given θ as parameter set for the pdf of X. It's a way of telling you how likely θ is the right set of values for the parameters of the pdf of X. |
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Give the formula for probability of interesection of n non-independent events
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Give the formula for the probability of union of n non exclusive events
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Define Bayesian network
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a graph, where:
~ nodes are RVs (discrete or continuous) ~ edges represent non-independence ~ direction represents causality |
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Define Random Markov field
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a graph, where:
~ nodes are RVs (discrete or continuous) ~ edges represent non-independence ~ no direction, causality unknown |