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Unformatted text preview: six numbers. Dene two random variables X and Y as: X ( ) = b 1 is odd is even Y ( ) = b is odd 1 is even Are X and Y independent? Provide clear arguments to support your answer. Problem 4. [15 pt] Let X be a random variable that has a socalled Laplacian distribution, i.e., its pdf is given by f X ( x ) = 1 2 e1  x  , < x < where is a deterministic parameter 1 . Let X 1 ,...,X N be independent random variables with the same exponential distribution as X . You can imagine these as observations of X that you have not collected yet. Design an unbiased estimator of that uses X 1 ,...,X N . 1 This distribution is important in image and speech analysis Prabir Barooah 1...
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This note was uploaded on 07/03/2011 for the course EML 6934 taught by Professor Staff during the Fall '08 term at University of Florida.
 Fall '08
 Staff

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