leptokurtic

He found the distributions were less leptokurtic and more normal.

The distribution of price changes or returns has often been found to be leptokurtic.

A distribution with positive excess kurtosis is called leptokurtic, or leptokurtotic.

In terms of shape, a leptokurtic distribution has a more acute peak around the mean and fatter tails.

The top image shows that leptokurtic densities in this family have a higher peak than the mesokurtic normal density.

The latter group has been divided into those which reported a leptokurtic distribution, and those which just reported non-normality.

(A leptokurtic curve has a higher peak and fatter tails than a normal curve.)

A geometric stable distribution or geo-stable distribution is a type of leptokurtic probability distribution.

They are inefficient estimators of location for mesokurtic distributions, such as the normal distribution, and leptokurtic distributions, however.

This yields a one-parameter leptokurtic family with zero mean, unit variance, zero skewness, and arbitrary positive kurtosis.

A normal distribution has a kurtosis measure of 3, and a leptokurtic distribution occurs when the kurtosis is well over 3.

Distributions with negative or positive excess kurtosis are called platykurtic distributions or leptokurtic distributions respectively.

The inverse power distribution and distributions with 'fat tails' representing long-distance dispersal events (called leptokurtic distributions) are though to best match empirical dispersal data.

In the risk-management community, the common response to the fat-tails critique is to say: come on, we never believed returns were normally distributed: we all knew they were leptokurtic.

However, the hyperbolic secant distribution is leptokurtic; that is, it has a more acute peak near its mean, and heavier tails, compared with the standard normal distribution.

So the representation of heavy-tailed or leptokurtic distribution by phase type is an approximation, even if the precision of the approximation can be as good as we want.

GAMLSS is especially suited for modelling leptokurtic or platykurtic and/or positive or negative skew response variable.

If the distribution is more peaked than the normal distribution it is said to be leptokurtic; if less peaked it is said to be platykurtic.

Examples of leptokurtic distributions include the Student's t-distribution, Rayleigh distribution, Laplace distribution, exponential distribution, Poisson distribution and the logistic distribution.

It has been found that in general ratio variables are skewed to the right, are leptokurtic and their nonnormality is increased when magnitude of the denominator's coefficient of variation is increased.

The probability density function for logarithm of weekly record sales changes is highly leptokurtic and characterized by a narrower and larger maximum, and by a fatter tail than in the Gaussian case.

If a distribution has a peak at the mean and long tails, the fourth moment will be high and the kurtosis positive (leptokurtic); and conversely; thus, bounded distributions tend to have low kurtosis (platykurtic).

A. This argues that, since information arrives at an uneven rate, the observed distribution of futures price changes (or returns) will be a mixture of a number of normal distributions, and this observed distribution will be leptokurtic.

The more difficult question to answer is whether these leptokurtic distributions arise because futures price changes (or returns) are normally distributed, but the variance changes over time, thus supporting the mixture-of-distributions hypothesis, or are drawn from a stable Pareto distribution.

Very flat curves of poorly sorted sediments or those with bimodal frequency curves are platykurtic, whereas very strongly peaked curves, in which there is exceptionally good sorting of the central part of the distribution, are leptokurtic.