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Unformatted text preview: Does the sequence { X n } converge in probability to some random variable? b) Prove or give a counterexample: If X X P n → , then E ( X n ) → E ( X ). Cooldown: 4.3.7 Hint: ( ) ( ) α β 1 1 M Gamma t t= , t < 1 / . _________________________________________________________________________ If you are registered for 4 credit hours: ( to be handed in separately ) (due Wednesday, April 2, by 3:00 p.m.) 10. Let Y n be χ 2 ( n ). What is the limiting distribution of Z n = n n Y? Hint: We already know that Y n / n P → 1 and that ( ) ( ) 1 , 2 Y N D n n n →....
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 Spring '08
 Monrad
 Probability theory, Upper tail probability

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