Would you tell me the code for Fisher Pearson skewness?

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Would you tell me the code for Fisher Pearson skewness?
How can I get the skewness with Fisher Pearson formula..?

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David Goodmanson
David Goodmanson 2022년 9월 21일
편집: David Goodmanson 2022년 9월 21일
Hi Chris,
y = rand(1,100); % some data
m = mean(y);
n = numel(y);
scalc = (sum((y-m).^3)/n)/var(y,1)^(3/2)
s = skewness(y)
scalc agrees with Matlab's skewness function.
You have to be careful using the variance here (or the standard deviation). The var default is
but for variance as used in Matlab's skewness function, you divide by n instead of (n-1). That means using var(y,1) rather than the default var(y). Same idea for std if that were used.

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Walter Roberson
Walter Roberson 2022년 9월 20일
FPskewness = sum(x - mean(x)) / numel(x) / std(x).^3
You would need to be more rigourous if you wanted to handle non-vectors.
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John D'Errico
John D'Errico 2022년 9월 21일
Jeff is correct. Skewness would be a scaled (normalized) 3rd central moment, so there MUST be a cube in there.

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