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# Skewness and Kurtosis data

Discussion in 'Data Sets and Feeds' started by hlpsg, Aug 27, 2008.

1. ### hlpsg

Does anyone know of a serivce or website where I could get an updated value of the skewness and kurtosis of a particular stock's distribution?

Thanks.

2. ### SOESBandit94

Scroll down to the technicals you should see all you are looking for. You can change the symbol to any stock

3. ### MasterAtWork

Hi hlpsg,

If you only got historical prices I can help you to compute those on an Excel spreadsheet. It wouldn't be difficult.

Cheers,

4. ### stockblogger

I suggest ivolatility.com but their services aren't free

5. ### hlpsg

Thanks for the offer, I've sent you an email.

6. ### MasterAtWork

I've PM-ed you.

7. ### hlpsg

MAW, will something like this do? I've also included a column of close-to-close as a capture of daily volatility.

Let me know, thanks.

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8. ### MasterAtWork

Hi hlpsg,

For broad purpose skewness of datas can be mesured by the third moment about the mean.

So if you got your serie (whatever you want, daily return, daily volatility...),

1-you compute the mean :sum of datas divided by number of datas.

2-you compute the standard deviation : you compute each difference between each data and mean, you compute then the square of each difference, you sum all the squared differences together , you compute the square root of the outcome, you divide the final amount by the number of datas

3-you compute the third moment: you compute each difference between each data and mean (you have already done above), you raise each difference to the third power, you sum all together, you divide the outcome by the number of datas.

Now to get the skewness, you divide the amount above by the standard deviation raised to the third power.

If the distribution is symmetric, the skewness will be zero.

4-you compute the fourth moment: you compute each difference between each data and mean (you have already done above), you raise each difference to the fourth power, you sum all together, you divide the outcome by the number of datas.

Now to get the kurtosis, you divide the amount above by the standard deviation raised to the fourth power.

The kurtosis describes the peakness of the distribution.
This kurtosis is called Pearson kurtosis.
Sometimes, we compute Fisher kurtosis that is Pearson's less 3 (3 is the kurtosis of the normal distribution).

Regards,

9. ### disgracedoctor

Them outliers get cha everytime.

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10. ### WhimsyGuest

I think you've oversimplified and might get some in trouble if they follow blindly.

#10     Aug 31, 2008
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