ece620-08-hw2 - Electrical and Computer Engineering...

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Electrical and Computer Engineering Dr. Mohamed N. Ahmed University of Louisville Summer 2008 ECE620: Hw # 2 Due date: June 12, 2008 1. N samples are drawn independently from a univariate normal density with unknown mean and variance. Obtain a maximum-likelihood estimate of the unknown parameters. 2. Repeat (1) for the case of 2D normal with unknown mean and covariance , μ Σ . 3. Let x have an exponential density 0 (/) 0 x ex px otherwise θ = Suppose that n samples 1 ,..., n x x are drawn independently according to . Show that the maximum-likelihood estimate for
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This note was uploaded on 01/12/2012 for the course ECE 620 taught by Professor Staff during the Summer '08 term at University of Louisville.

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