a measure of how strongly the distribution is tailed compared to a normal distribution

If a distribution is not perfectly normally distributed, the skewness indicates the side of the tail, and the kurtosis is a measure of how strongly the distribution is tailed compared to a normal distribution.

the fourth standardized moment of a random variable

The kurtosis is the fourth standardized moment of a random variable.

measures the tail-heaviness of the distribution

Kurtosis measures the tail-heaviness of the distribution.

a measure of the flattening of the distribution

Kurtosis is a measure of the flattening of the distribution, and for a normal distribution amounts to 0.

The measure of peakedness of data

The measure of peakedness of data is called kurtosis.

a descriptor of the shape of a probability distribution

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 different ways of quantifying a probability distribution for a theoretical distribution and corresponding ways of estimating a probability distribution from a sample from a population.

a measure of how outlier-prone a distribution is

Kurtosis is a measure of how outlier-prone a distribution is.

a proportion of the peakedness of the distribution contrasted with an ordinary dispersion

Skewness is a metric of the asymmetry of the distribution, while kurtosis is a proportion of the peakedness of the distribution contrasted with an ordinary dispersion.

the fourth standardized moment

The kurtosis is the fourth standardized moment, defined as where μ4 is the fourth central moment and σ is the standard deviation.

a statistical measure that is used to describe the distribution

Like skewness, kurtosis is a statistical measure that is used to describe the distribution.

a statistical measure , that's used to describe the distribution, or skewness, of observed data around the meansometimes referred to as the volatility of volatility

Kurtosis is a statistical measure that's used to describe the distribution, or skewness, of observed data around the mean, sometimes referred to as the volatility of volatility.

a measure of the degree of sharpness

The kurtosis is a measure of the degree of sharpness, and is 3 when the probability distribution is a normal distribution.

to the degree to which the distribution is peaked

While skewness refers to the lack of symmetry, kurtosis is refers to the degree to which the distribution is peaked.

that describes the difference of a distribution from normal

The kurtosis (K) is a dimensionless quantity that describes the difference of a distribution from normal, and is a distinctive feature of polymer models (Gennes, 1979; Balanda and MacGillivray, 1988; Barbieri et al., 2012).

a measure of the dispersion

In terms of the original variable X, the kurtosis is a measure of the dispersion of X around the two values μ ± σ.

measure of the combined weight of the tails relative to the rest of the distribution

Kurtosis is a measure of the combined weight of the tails relative to the rest of the distribution.

another measure of the shape of the distribution

Kurtosis is a measure of the shape of the distribution and indicates how heavy the tails of the distribution are.

probability distribution

Kurtosis describes a probability distribution; a long-tailed distribution, with many outliers, has high kurtosis.

a statistical measure that indicates whether observed data follow a heavy or light tailed distribution in relation to the normal distribution

Kurtosis is a statistical measure that indicates whether observed data follow a heavy or light tailed distribution in relation to the normal distribution.

a measure of the likelihood that an event occurring is extreme in relation to a given distribution

Kurtosis is a measure of the likelihood that an event occurring is extreme in relation to a given distribution.