Business, Legal & Accounting Glossary
The sharpness of the peak of a frequency-distribution curve. In probability theory and statistics, kurtosis is a measure of the “tailedness” of the probability distribution of a real-valued random variable.
statistics A measure of heaviness of the tails of a probability distribution, defined as the fourth cumulant divided by the square of the variance of the probability distribution.
Kurtosis, of Greek origin, meaning “bulging” or “swelling”, is a measurement used to determine the peakedness of a data distribution. It essentially measures a bell curve. In other words, Kurtosis measures whether the data is sharp or flat relative to a normal distribution. Since Kurtosis measures the shape of the distribution (the fatness of the tails), it focuses on how returns are ranged around the mean. A Kurtosis coefficient of three indicates a normal distribution. Kurtosis of less than three indicates a low peak with a fat midrange on either side; this is referred to as platykurtic. Conversely, Kurtosis greater than three indicates a sharp/high peak with a thin midrange and fat tails; this is called leptokurtic. Therefore, put simply, Kurtosis describes how bunched around the centre or spread at the endpoints a frequency distribution is. Investors can use the information of Kurtosis to describe trends found in the charts to assess volatility; sometimes Kurtosis is called “the volatility of volatility.” Kurtosis is like skewness, except skewness only measures one tail’s fatness.
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This glossary post was last updated: 4th April, 2020 | 1 Views.