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-   -   Problem 1.8c (http://book.caltech.edu/bookforum/showthread.php?t=4679)

dwilli3501 05-31-2016 07:59 PM

Problem 1.8c
 
Not sure how the inequality in Problem 1.8c follows from parts a & b, but it is clear that the following inequality holds in 1.8c

P[(u - N*mu)^2 >= alpha] <= variance/(N*alpha)

Any suggestions?

dwilli3501 06-01-2016 09:29 AM

Re: Problem 1.8c
 
Figured out the problem. I mistakenly thought the mean of u was N*mu.

williamshakespare 07-24-2016 03:28 AM

solution of 1.8C
 
1.8(c) solution
1.take [ (u1 - miu) + (u2 - miu) + ... + (un - miu) ] as a new random variable
2.its mean is 0, and variance is N * (variance of ui)
do you got me?

Ulyssesyang 11-09-2018 07:45 AM

Re: solution of 1.8C
 
Quote:

Originally Posted by williamshakespare (Post 12412)
1.8(c) solution
1.take [ (u1 - miu) + (u2 - miu) + ... + (un - miu) ] as a new random variable
2.its mean is 0, and variance is N * (variance of ui)
do you got me?

You are amazing!


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