LFD Book Forum HW 7 - Problem 6 clarification
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#1
02-22-2013, 08:10 AM
 jain.anand@tcs.com Member Join Date: Feb 2013 Location: Cleveland, OH Posts: 11
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?
#2
02-22-2013, 11:36 AM
 yaser Caltech Join Date: Aug 2009 Location: Pasadena, California, USA Posts: 1,477
Re: HW 7 - Problem 6 clarification

Quote:
 Originally Posted by jain.anand@tcs.com 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.
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#3
02-22-2013, 09:13 PM
 jain.anand@tcs.com Member Join Date: Feb 2013 Location: Cleveland, OH Posts: 11
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?
#4
02-22-2013, 09:41 PM
 yaser Caltech Join Date: Aug 2009 Location: Pasadena, California, USA Posts: 1,477
Re: HW 7 - Problem 6 clarification

Quote:
 Originally Posted by jain.anand@tcs.com 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."
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#5
02-22-2013, 11:09 PM
 jain.anand@tcs.com Member Join Date: Feb 2013 Location: Cleveland, OH Posts: 11
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.
#6
02-22-2013, 11:49 PM
 yaser Caltech Join Date: Aug 2009 Location: Pasadena, California, USA Posts: 1,477
Re: HW 7 - Problem 6 clarification

Quote:
 Originally Posted by jain.anand@tcs.com 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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Where everyone thinks alike, no one thinks very much

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