This calculator computes the skewness and kurtosis of a distribution or data set. Skewness is a measure of the symmetry, or lack thereof, of a distribution. Kurtosis measures the tail-heaviness of the distribution. A number of different formulas are used to calculate skewness and kurtosis. This...
kyrtos or kurtos, meaning bulging) is any measure of the "peakedness" of the probability distribution of a real-valued random variable.[1] In a similar way to the concept of skewness, kurtosis is a descriptor of the shape of a probability distribution and, just as for skewness, there are...
Note that for largesample sizen, the quantity under the radical is near 1, and the standard error of the kurtosis is approximately twice the size of the standard error of the skewness. Anabsolute valueof the ratio that is larger than 1.96 would indicate a shape of a distribution statisticall...
The histogram can give you a general idea of the shape, but two numerical measures of shape give a more precise evaluation: skewness tells you the amount and direction of skew (departure from horizontal symmetry), and kurtosis tells you how tall and sharp the central peak is, relative to a...
Population excess kurtosis can be calculated by adjusting the result of KURT (see details how to do it here). You can easily calculate kurtosis, skewness, standard deviation and other measures using the Descriptive Statistics Excel Calculator....
Co‐Kurtosis and Capital Asset Pricing This paper examines the impact of co-kurtosis on asset pricing using a four-moment capital asset pricing model. It is shown that, in the presence of skewness and kurtosis in asset return distribution, the expected excess rate of return i... H Fang,T...
From the above calculations, it can be concluded that β1β1, which measures skewness is almost zero, thereby indicating that the distribution is almost symmetrical. β2β2 Which measures kurtosis, has a value greater than 3, thus implying that the distribution is leptokurtic....
The Gaussian distribution function is the most widely used probability distribution in statistical analysis. The distribution is symmetrical; the skewness equals zero and the kurtosis equals three. Traditional random control assumes a Gaussian distribution of data, which is highly concentrated near the mea...