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Re: [Bug-gsl] Error in sample code


From: Peter Johansson
Subject: Re: [Bug-gsl] Error in sample code
Date: Wed, 27 Feb 2013 09:33:58 +1000
User-agent: Mozilla/5.0 (X11; Linux x86_64; rv:10.0.12) Gecko/20130108 Thunderbird/10.0.12

Hi,

On 02/27/2013 02:57 AM, Frantisek Kluknavsky wrote:
are you sure that "buggy" and correct behavior are not confused here? I do not know, but look at http://en.wikipedia.org/wiki/Bias_of_an_estimator and search for "usual definition of sample variance". If I understand it correctly, the "buggy" formula was unbiased, while now it is biased again.
The biased estimate is 21.5/n = 4.2984. The unbiased estimate is 21.5/(n-1) = 5.373. Note, that neither is buggy; both estimators are used and it's a matter of taste which one is preferred. One is unbiased, but the other one is more efficient.

HTH,
Peter



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