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# Basic random variable question - lim of min of a set of RV's

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1. Basic random variable question - lim of min of a set of RV's
Let the independent, identically distributed random variables have common distribution function .

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Question: When the distribution of is uniform over the interval , find the limit for .

So far, this is what I have:

Well basically I'm just double checking this is correct. If it is, then would the final term tend to 1? If so, why exactly?
2. Re: Basic random variable question - lim of min of a set of RV's
(Original post by wanderlust.xx)
...

http://en.wikipedia.org/wiki/Exponential_function
Last edited by ghostwalker; 17-05-2012 at 12:00.
3. Re: Basic random variable question - lim of min of a set of RV's
(Original post by ghostwalker)

http://en.wikipedia.org/wiki/Exponential_function
Ah yes of course. Cheers.

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Last updated: May 17, 2012
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