Modal Divergence

I'm trying to rework an old paper on skewness and kurtosis, update it,
expand it and put it on my URL.

Back in 1905, Karl Pearson proposed a combined measure to test data for
normality. It combined both skewness and kurtosis measures and he called it
"modal divergence". For a normal distribution, the modal divergence is zero.
I have never run across any other reference to this measure. A search using
Google returned 16 entries, none of which had anything to do with his
measure.

Has anybody ever come across a reference to or a use of this measure?

David Heiser


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Relevant Pages

  • Pearsons "Modal Divergence"
    ... I'm trying to rework an old paper on skewness and kurtosis, update it, ... the modal divergence is zero. ... I have never run across any other reference to this measure. ...
    (sci.stat.edu)
  • Re: significance of skewness
    ... The true underlying distribution of this data is unknown to me. ... >> I want to determine whether the skewness of the data is significant. ... > There is a literature on "robust tests of symmetry". ... robust measures of skewness and kurtosis. ...
    (sci.stat.math)
  • Kurtosis, Skewness and the Cummulant Generating Function
    ... formulas for skewness and kurtosis that I am familiar with are ... skewness and kurtosis of a continuous distribution, ... information on the cummulant generating function, ...
    (sci.stat.math)
  • Re: Different skewness while keeping kurtosis constant
    ... It is possible to change the kurtosis independently from the mean, ... and skewness using the Pearson VII family of distributions. ...
    (sci.stat.math)
  • Re: Multiple Regression doubts
    ... Maybe normalizing is a wrong word, ... Any linear transformation will preserve skewness and ... kurtosis, so that's no problem. ...
    (sci.stat.edu)