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Old 02-14-2006, 05:07 AM
Siegmund Siegmund is offline
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Join Date: Feb 2005
Posts: 1,850
Default Re: Advanced Probability (math or stat majors probably only need apply

I'm sure you know we can't give you a proof, just point you in a direction that might be fruitful......

the product of the P_i is zero iff the sum of the logs of the P_i goes to -infinity.

Can you say anything about this sum?

There are some handy bounds above and below on the value of log(1+x) for sufficiently small x.
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