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Old 02-22-2013, 08:10 AM
jain.anand@tcs.com jain.anand@tcs.com is offline
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Post 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?
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Old 02-22-2013, 11:36 AM
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Default Re: HW 7 - Problem 6 clarification

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Originally Posted by jain.anand@tcs.com View Post
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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Old 02-22-2013, 09:13 PM
jain.anand@tcs.com jain.anand@tcs.com is offline
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Default 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?
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Old 02-22-2013, 09:41 PM
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Default Re: HW 7 - Problem 6 clarification

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Originally Posted by jain.anand@tcs.com View Post
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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Old 02-22-2013, 11:09 PM
jain.anand@tcs.com jain.anand@tcs.com is offline
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Default 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.
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Old 02-22-2013, 11:49 PM
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Default Re: HW 7 - Problem 6 clarification

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Originally Posted by jain.anand@tcs.com View Post
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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