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| ] (]) 11:06, 28 January 2011 | ] (]) 11:06, 28 January 2011 | ||
| ::The mean of the '''sum''' of the random variables in the sample is the sum of the individual means, and its variance is the sum of the individual variances. However, the article is talking about the '''sample average''', that is, the sum divided by the sample size. If each random variable has mean μ and variance σ<sup>2</sup>, this will have mean μ and variance σ<sup>2</sup>/''n'', as stated in the article. Also, convergence to normality will not hold for an arbitrary sum of random variables, but requires some condition to hold, whether it be that the variables are i.i.d. with finite mean and variance (the case of the so-called "classical" CLT), or the Lindeberg condition, mentioned later on in the article. ] (]) 00:44, 29 January 2011 (UTC) | ::The mean of the '''sum''' of the random variables in the sample is the sum of the individual means, and its variance is the sum of the individual variances. However, the article is talking about the '''sample average''', that is, the sum divided by the sample size. If each random variable has mean μ and variance σ<sup>2</sup>, this will have mean μ and variance σ<sup>2</sup>/''n'', as stated in the article. Also, convergence to normality will not hold for an arbitrary sum of random variables, but requires some condition to hold, whether it be that the variables are i.i.d. with finite mean and variance (the case of the so-called "classical" CLT), or the Lindeberg condition, mentioned later on in the article. ] (]) 00:44, 29 January 2011 (UTC) | ||
| == Jagged 85 RFC/U and cleanup has been appealed to ArbCom == | |||
| You are involved in a recently-filed request for arbitration. Please review the request at ] and, if you wish to do so, enter your statement and any other material you wish to submit to the Arbitration Committee. Additionally, the following resources may be of use— | |||
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| Thanks,<!-- Template:Arbcom notice --> -] (]) 04:42, 21 March 2011 (UTC) | |||
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Request for Informal Review of the article on Indian Astronomical Observatory
Thank you for some of the work you have done on contributing to Misplaced Pages articles on Indian astronomical observatory. I have been working on adding and improving the articles of 12 functioning observatories in India. In January, I have been focussed on the Indian Astronomical Observatory.
It would be great to have an informal review of the article and post your comments here.
Prad2609 (talk) 06:59, 21 January 2011 (UTC)
Idiotarian listed at Redirects for discussion
An editor has asked for a discussion to address the redirect Idiotarian. Since you had some involvement with the Idiotarian redirect, you might want to participate in the redirect discussion (if you have not already done so). Robofish (talk) 18:12, 23 January 2011 (UTC)
Recent edits
Thank you for double-checking some articles I recently posted. I appreciate your corrections.—RJH (talk) 19:49, 27 January 2011 (UTC)
Mean and variance of Central Limit Theorem
Hi, this is regarding Central Limit Theorem. According to the same reference that you have given, as in equation 27.2 (Sn - nc / σ√n ~ N) the mean is the summation of all the means and the variance is the summation of all variances. Am I correct? Achintha (talk) 11:06, 28 January 2011
- The mean of the sum of the random variables in the sample is the sum of the individual means, and its variance is the sum of the individual variances. However, the article is talking about the sample average, that is, the sum divided by the sample size. If each random variable has mean μ and variance σ, this will have mean μ and variance σ/n, as stated in the article. Also, convergence to normality will not hold for an arbitrary sum of random variables, but requires some condition to hold, whether it be that the variables are i.i.d. with finite mean and variance (the case of the so-called "classical" CLT), or the Lindeberg condition, mentioned later on in the article. Spacepotato (talk) 00:44, 29 January 2011 (UTC)
Jagged 85 RFC/U and cleanup has been appealed to ArbCom
You are involved in a recently-filed request for arbitration. Please review the request at Misplaced Pages:Arbitration/Requests#Jagged 85 RFC/U and cleanup and, if you wish to do so, enter your statement and any other material you wish to submit to the Arbitration Committee. Additionally, the following resources may be of use—
Thanks, -Aquib (talk) 04:42, 21 March 2011 (UTC)