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Unformatted text preview: (b) X n → X and X n → Y almost surely. Show that P ( X = Y ) = 1. (c) X n → X and X n → Y in r th mean for some r ≥ 1. Show that P ( X = Y ) = 1. 4. Give examples of two (nonconstant) random variables X and Y such that (a) H¨older’s inequality reduces to an equality for some p > 1 and q > 1 (b) Minkowski’s inequality reduces to an equality for some p ≥ 1. 1...
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This note was uploaded on 03/15/2010 for the course STATISTIC 472 taught by Professor Amjad during the Spring '08 term at Yarmouk University.
 Spring '08
 AMJAD

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