Unformatted text preview: ³ ´ µ ¶= n n 1 1 ) ( V c. n n e ) ( W = d. π n n 2 cos ) ( Y = e. ) 1 ( e ) ( Z= n n n Which of these sequences converges everywhere? almost everywhere? Identify the limiting random variable. 5. Let X n and Y n be two (possibly dependent) sequences of random variables that converge in the mean square sense to X and Y, respectively. Does the sequence X n + Y n converge in the mean square sense, and, if so, to what limit? 6. Show that if a n ³ a and E[X n – a n  2 ] ³ 0, then X n ³ a in the mean square sense as n ³ ´ ....
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This note was uploaded on 01/27/2010 for the course ECE 600 taught by Professor Staff during the Fall '08 term at Purdue.
 Fall '08
 Staff

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