What does a Leptokurtic curve indicate?

Leptokurtic distributions are statistical distributions with kurtosis greater than three. It can be described as having a wider or flatter shape with fatter tails resulting in a greater chance of extreme positive or negative events.

What does negatively skewed distribution mean?

In statistics, a negatively skewed (also known as left-skewed) distribution is a type of distribution in which more values are concentrated on the right side (tail) of the distribution graph while the left tail of the distribution graph is longer.

What is Leptokurtic and Platykurtic?

Leptokurtic: More values in the distribution tails and more values close to the mean (i.e. sharply peaked with heavy tails) Platykurtic: Fewer values in the tails and fewer values close to the mean (i.e. the curve has a flat peak and has more dispersed scores with lighter tails).

What does a negative kurtosis mean?

A distribution with a negative kurtosis value indicates that the distribution has lighter tails than the normal distribution. For example, data that follow a beta distribution with first and second shape parameters equal to 2 have a negative kurtosis value.

Are Leptokurtic curves normal?

If a normal curve is leptokurtic, the curve is highly arched at the mean with short tails. Platykurtic curves, on the other hand, are flatter than normal with a lower peak and longer tails. A skewed curve is either positively or negatively skewed.

What is an example of a Leptokurtic distribution?

Examples of leptokurtic distributions include the Student’s t-distribution, Rayleigh distribution, Laplace distribution, exponential distribution, Poisson distribution and the logistic distribution. Such distributions are sometimes termed super-Gaussian.

What is an example of a negatively skewed distribution?

Example 1: Distribution of Age of Deaths The distribution of the age of deaths in most populations is negatively skewed. Most people live to be between 70 and 80 years old, with fewer and fewer living less than this age.

What is meant by a negatively skewed unimodal distribution?

A negatively skewed unimodal distribution is a distribution in which the left side of the distribution is long and spread out somewhat like a tail. On the right side of the distribution, there is one value that clearly has a larger frequency than any other value.

What is Platykurtic?

The word “platykurtic” refers to a statistical distribution where the value of excess kurtosis is negative. A platykurtic distribution would, therefore, have thinner tails than a normal distribution, leading to less extreme positive or negative events.

What does negative skewness and kurtosis mean?

The skewness is a measure of symmetry or asymmetry of data distribution, and kurtosis measures whether data is heavy-tailed or light-tailed in a normal distribution. Data can be positive-skewed (data-pushed towards the right side) or negative-skewed (data-pushed towards the left side).

What is positive and negative kurtosis?

So, if a dataset has a positive kurtosis, it has more in the tails than the normal distribution. If a dataset has a negative kurtosis, it has less in the tails than the normal distribution.

What is the difference between a Leptokurtic curve and a Platykurtic curve?

Though mesokurtic distributions have a kurtosis of three, leptokurtic and platykurtic distributions have positive and negative excess kurtosis, respectively. Therefore, leptokurtic distributions have a relatively high probability of extreme events, whereas the opposite is true for platykurtic distributions.