# Quick Guide To Numpy Random Pareto

Throughout this article, we will look more in-depth what the Pareto distribution is, how Numpy Random Pareto works, and in particular how it can be implemented in NumPy in a way that makes sense.

## What is the Pareto distribution?

The Pareto distribution is a continuous probability distribution used to describe phenomena where a few values occur with high frequency, while the rest occur with low frequency.

It is commonly used in economics, finance, and insurance to model phenomena such as wealth distribution and insurance claim severity.

The Pareto distribution has two parameters alpha and scale.

• The parameter alpha is a shape parameter that determines the shape of the distribution.
• The scale parameter is a scale parameter that determines the minimum value of the distribution.

# Numpy Random Pareto Distribution

A numpy random pareto distribution follows Pareto’s law, which means 20% factors cause 80% of the result).

There are two parameters in it:

 Parameters Overview a parameter describing the shape. size Determines the array’s shape.

Below are examples of how to use Numpy Random Pareto to generate random numbers from the Pareto distribution

Choose a sample from the pareto distribution with dimensions four by two and a shape of five:

#### Example:

from numpy import random mrx = random.pareto(a=5, size=(4, 2)) print(mrx)

The pareto distribution has shape one and dimensions one by one. You can take a sample from this distribution as follows:

#### Example:

from numpy import random mrx = random.pareto(a=1, size=(1, 1)) print(mrx)

## Visualization

Visualizing data generated from the Numpy Random Pareto function can be helpful in understanding the distribution and characteristics of the data.

Here are some ways you can visualize data generated from Numpy Random Pareto:

Show the visual illustration of the Pareto Distribution:

#### Example:

from numpy import random import matplotlib.pyplot as pt import seaborn as sbn sbn.distplot(random.pareto(a=5, size=200), kde=False) pt.show()

Apply kde=True and hist = True:

#### Example:

from numpy import random import matplotlib.pyplot as pt import seaborn as sbn sbn.distplot(random.pareto(a=1, size=15), kde=True, hist = True) pt.show()

## Benefits

Using Numpy Random Pareto function can have several benefits, including:

• The Pareto distribution is commonly used to model real-world phenomena, such as income distribution, the number of hits a website receives, and the size of earthquakes. By using it, you can generate data that closely resembles these real-world phenomena.
• The Pareto distribution is known for having a “heavy tail,” meaning that it can generate extreme events that occur with low probability but have a large impact. By using it, you can simulate these extreme events and test how your system or model responds to them.
• The Pareto distribution can be used to test statistical hypotheses, such as whether a dataset follows a power law distribution. By generating data with the Numpy Random Pareto function, you can test these hypotheses and gain insights into the underlying patterns of your data.
• The Numpy Random Pareto function can be used to generate training and testing datasets for machine learning algorithms. This can be particularly useful when working with imbalanced datasets or datasets that contain extreme values.
• By visualizing data generated from the Numpy Random Pareto function, you can gain insights into the distribution and characteristics of the data. This can help you identify patterns and outliers, and make more informed decisions about how to visualize and analyze the data.
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