Kurtosis

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Related to Mesokurtic: kurtosis, platykurtic

Kurtosis

Measures the fatness of the tails of a probability distribution. A fat-tailed distribution has higher-than-normal chances of a big positive or negative realization. Kurtosis should not be confused with skewness, which measures the fatness of one tail. Kurtosis is sometimes referred to as the volatility of volatility.
References in periodicals archive ?
In the present study, 19%, 23%, and 58% of the stations showed leptokurtic (excessively peaked), mesokurtic (natural sediment average), and platykurtic (deficiently peaked) curve, respectively.
The skewness is very fine to fine, and the sands are very leptokurtic to mesokurtic. The carbonate content in the dune sands ranges from 1.5%-to 5%.
Specifically, with total sample sizes of 45 or larger, the LMM with the KR procedure is a suitable option for analyzing data when the distributions are: (a) mesokurtic and not highly or extremely skewed; and (b) symmetric, with different degrees of kurtosis.
* If [R.sub.kur] = 3: mesokurtic distribution(normally distributed surface)
From these plots, (l) the skewness is positive when [alpha] < 3.535 and negative when [alpha] > 3.535 and the kurtosis is (i) equal to 3 when either [alpha] = 2.4977 or [alpha] = 4.9151 which means that the distribution is mesokurtic; (ii) greater than 3 when either [alpha] < 2.4977 or [alpha] > 4.9151 which means that the distribution is leptokurtic; (iii) smaller than 3 when 2.4977 < [alpha] < 4.9151 which means that the distribution is platykurtic.
The kurtosis values showed a range from 0.89-2.55 indicating that these sediments are very platykurtic to mesokurtic to leptokurtic to very leptokurtic.
In both cases, a 0 would indicate a perfectly symmetrical and mesokurtic distribution (for all the simulations h was fixed to 0).