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Unformatted text preview: j th average with j { 1 , 2 , . . . , m } . We should think of both n and m as large. Then the weak law of large numbers says that for any > 0 ( is small), the probability that very many of the X n ( j ) are more than away from p , will be very small. urther, for xed , as n , the proportion that are more than away from p will go to zero. The Strong law of large numbers says that with a probability of one, X n ( j ) will converge to p as n . 1...
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 Spring '08
 Anderson
 Math, Probability

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