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 Sigma in Pearson VII		  New Topic  Reply to Topic
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Shobhita

India
1 Posts
Posted - 02/09/2023 :  05:58:32 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
Origin Ver. and Service Release (Select Help-->About Origin):
Operating System:
Hi,

I fitted my peaks using Peak Analyzer with Pearson VII function. The fitting report gave the parameters like y0, xc, A, w. In Gauss, I know w=2*sigma. However, how can I get the standard deviation(sigma) in Pearson VII?

Thank you!

Sushobhita

Sushobhita

YimingChen

1627 Posts
Posted - 02/09/2023 :  09:51:59 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Compare the peak function to its corresponding distribution function, the sigma should equal to w/(2*sqrt(2^(1/mu)-1)). Please refer to the pages below:

https://www.originlab.com/doc/Origin-Help/PearsonVII-FitFunc
http://openafox.com/science/peak-function-derivations.html#pearson-7

James
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