# Eleisha's Segment 30: Expectation Maximization (EM) Methods

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To Calculate 1. For a set of positive values $\displaystyle \{x_i\}$ , use Jensen's inequality to show (a) the mean of their square is never less than the square of their mean, and (b) their (arithmetic) mean is never less than their harmonic mean.
2. So slide 4 proves that some function is less than the actual function of interest, namely $\displaystyle L(\theta)$ . What makes this such a powerful idea?