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-   -   HW 7 - Problem 6 clarification (http://book.caltech.edu/bookforum/showthread.php?t=4017)

 jain.anand@tcs.com 02-22-2013 08:10 AM

HW 7 - Problem 6 clarification

In problem 6 it was asked to get the mean of the minimum of 2 uniform distribution between [0,1]. In my answer if I take the mean with 2 digit approximation I get a number which is closer to a different choice of answer vs when I take 1 digit approximation. I am not sure which one is correct. Could you please clarify?

 yaser 02-22-2013 11:36 AM

Re: HW 7 - Problem 6 clarification

Quote:
 Originally Posted by jain.anand@tcs.com (Post 9467) In problem 6 it was asked to get the mean of the minimum of 2 uniform distribution between [0,1]. In my answer if I take the mean with 2 digit approximation I get a number which is closer to a different choice of answer vs when I take 1 digit approximation. I am not sure which one is correct. Could you please clarify?
Get the mean to as much accuracy as you can, then use that to answer the question.

 jain.anand@tcs.com 02-22-2013 09:13 PM

Re: HW 7 - Problem 6 clarification

Thank you professor, that does give the right answer. It's a little counter intuitive that the answer turned out this way. Is there a theory behind it? Can it be calculated analytically?

 yaser 02-22-2013 09:41 PM

Re: HW 7 - Problem 6 clarification

Quote:
 Originally Posted by jain.anand@tcs.com (Post 9487) Thank you professor, that does give the right answer. It's a little counter intuitive that the answer turned out this way. Is there a theory behind it? Can it be calculated analytically?
It can be calculated analytically. It is part of the theory of "order statistics."

 jain.anand@tcs.com 02-22-2013 11:09 PM

Re: HW 7 - Problem 6 clarification

Thank you professor! This is the best class that I have taken. I learned a great deal. The Homeworks are very well designed, they clarifies most of the theories. Your choice of topics for the class are just immaculate.

 yaser 02-22-2013 11:49 PM

Re: HW 7 - Problem 6 clarification

Quote:
 Originally Posted by jain.anand@tcs.com (Post 9494) Thank you professor! This is the best class that I have taken. I learned a great deal. The Homeworks are very well designed, they clarifies most of the theories. Your choice of topics for the class are just immaculate.
You are very kind.

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