scipy.stats.mstats.kurtosis¶

scipy.stats.mstats.kurtosis(a, axis=0, fisher=True, bias=True)

Computes the kurtosis (Fisher or Pearson) of a dataset.

Kurtosis is the fourth central moment divided by the square of the variance. If Fisher’s definition is used, then 3.0 is subtracted from the result to give 0.0 for a normal distribution.

If bias is False then the kurtosis is calculated using k statistics to eliminate bias coming from biased moment estimators

Use kurtosistest() to see if result is close enough to normal.

Parameters : a : array data for which the kurtosis is calculated axis : int or None Axis along which the kurtosis is calculated fisher : bool If True, Fisher’s definition is used (normal ==> 0.0). If False, Pearson’s definition is used (normal ==> 3.0). bias : bool If False, then the calculations are corrected for statistical bias. kurtosis : array The kurtosis of values along an axis. If all values are equal, return -3 for Fisher’s definition and 0 for Pearson’s definition.

References

[CRCProbStat2000] Section 2.2.25

 [CRCProbStat2000] (1, 2) Zwillinger, D. and Kokoska, S. (2000). CRC Standard Probablity and Statistics Tables and Formulae. Chapman & Hall: New York. 2000.

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