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Define Kurtosis

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Define Kurtosis. The peak is the tallest part of the distribution and the tails are the ends of the distribution. Where m 2 and m 4 are respectively the second and fourth moment of the distribution around the mean.

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Kurtosis is a measure of whether the data are heavy-tailed or light-tailed relative to a normal distribution. Where m 2 and m 4 are respectively the second and fourth moment of the distribution around the mean. The peak is the tallest part of the distribution and the tails are the ends of the distribution.

A probability distribution of a random variable is around the mean.

The degree of tailedness of a distribution is measured by kurtosis. It tells us the extent to which the distribution is more or less outlier-prone heavier or light-tailed than the normal distribution. In a normal distribution B 2 3See also platykurtic mesokurtic leptokurtic Compare skewness Word Origin for kurtosis. A positive kurtosis value indicates that many values fall far away from the mean which are called fat tails.

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