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### What is Leptokurtic?

The statistical distributions that have a kurtosis of greater than three are called leptokurtic. The shape can be described as a flatter or wider shape, with fatter tails. This results in a higher chance of extreme positive and negative events.

The kurtosis is one of the three main categories in a kurtosis study. mesokurtic has no kurtosis but is still associated with a normal distribution. Plateykurtic has a thinner tail and less kurtosis.

Leptokurtic Distributions are those with a positive kurtosis that is larger than a normal distribution. Normal distributions have a kurtosis that is exactly three. A distribution with a kurtosis higher than three is called a leptokurtic.

Leptokurtic distributed have heavier tails or a greater probability of extreme values compared to platykurtic and mesokurtic distributions.

### What is a mesokurtic Distribution?

The distribution of mesokurtic is medium-tailed. Outliers are neither very frequent nor extremely infrequent.

The kurtosis is calculated in comparison with normal distribution.

• A normal distribution has a kurtosis value of 3. Any distribution that has a kurtosis around 3 is considered mesokurtic.

Excess kurtosis is often used to describe kurtosis. This is kurtosis + 3. The fact that normal distributions are characterized by a kurtosis value of 3 makes it easy to compare a distribution’s excess kurtosis with a normal distribution:

• A normal distribution has an excess of kurtosis equal to 0, and any distribution that is approximately mesokurtic will have an excess of kurtosis equal to 0.

### What is platykurtic?

The distribution of platykurtic is thin-tailed compared to leptokurtic. This means that there are few outliers.

Platykurtic Distributions have less kurtosis compared to a Normal distribution. In other words, platykurtic distribution has:

• A kurtosis less than 3
• A kurtosis excess of less than 0.

Since the excess kurtosis in this condition is negative, it is also known as negative Kurtosis.