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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
MLE and model selection for a 2d discrete distribution (Source: Jaakkola.) Let x ∈ {0, 1} denote the result of a coin toss (x = 0 for tails, x = 1 for heads). The coin is potentially biased, so that heads occurs with probability θ1. Suppose that someone else observes the coin flip and reports to you the outcome, y. But this person is unreliable and only reports the result correctly with probability θ2; i.e., p(y|x, θ2) is given by

Assume that θ2 is independent of x and θ1.

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where dof(M) is the number of free parameters in the model, Compute the BIC scores for both models (use log base e). Which model does BIC prefer?
Â
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