11. Some authors use " kurtosis " by itself to refer to the excess kurtosis. 12. Some authors use " kurtosis " by itself to refer to the excess kurtosis . 13. A reason why some authors favor the excess kurtosis is that cumulants are extensive. 14. Here the kurtosis is defined to be the standardised fourth moment around the mean. 15. The kurtosis in both these cases is 1. 16. Bajgier and Aggarwal have propsoed a test based on the kurtosis of the distribution. 17. These quantities consistently estimate the theoretical skewness and kurtosis of the distribution, respectively. 18. Pearson's definition of kurtosis is used as an indicator of intermittency in turbulence. 19. Now the parameter " m " only controls the kurtosis of the distribution. 20. This is a distribution with excess kurtosis .