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Re bimodal
editI have checked this formula in places other than the one you cited. Thank you for your correction. DrMicro (talk) 00:10, 13 February 2013 (UTC)
Actually on reviewing the formula this is more complex. This depends on the definition of the kurtosis. Some defintions give the kurtosis of the normal distribution as 0 while others give it as 3. This is where the different formulae come in. The article probably needs both formulae with proper explanations as to which to use. DrMicro (talk) 00:13, 13 February 2013 (UTC)
- Thank you for the link. I had read that paper before. I think most of the material in it is now on WP.
- There is clearly a need to specify exactly what type of kurtosis is being used in the formula. I am inclined to agree with you over a correction factor to the skewness but I don't think anyone has studied the effect of introducing a finite correction factor into the formula. Without that I would be reluctant to alter this one or to propose a new one.
- I now remember trying to decide which formula to use in the article. The literature is very confusing on this point. I chose the version that uses the usual measure of kurtosis rather than the one that uses the excess kurtosis. I probably should check which one gives the right value for the unimodal distraibution before I change (or do not change) anything on that page. DrMicro (talk)
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