Plot uniform distribution in python

I am a real beginner concerning coding and would like to know how to plot a uniform distribution between two points using python. Any help would be greatly appreciated!

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asked Mar 30, 2014 at 13:33

4

This will do the work.

import numpy as np
import matplotlib.pyplot as plt

data = np.random.uniform(0,1,1000) # You are generating 1000 points between 0 and 1.
count, bins, ignored = plt.hist(data, 20, facecolor='green') 

plt.xlabel('X~U[0,1]')
plt.ylabel('Count')
plt.title("Uniform Distribution Histogram (Bin size 20)")
plt.axis([0, 1, 0, 100]) # x_start, x_end, y_start, y_end
plt.grid(True)

plt.show(block = False)

answered Aug 18, 2017 at 5:41

aerinaerin

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You can use numpy.random.uniform(low=initial,high=final,size=size) for this type of distribution.
Initial and final are your parameters that define the limits of your distribution. You can specify the size of the distribution you want to generate also as a parameter within the function. Hope that helps!

import numpy
import matplotlib.pyplot as plt
array = numpy.random.uniform(low=0,high=5,size=100)
plt.plot(array)
plt.show()

answered Nov 30, 2014 at 1:53

AryaArya

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1

Uniform Distribution describes an experiment where there is an random outcome that lies between certain bounds. The bounds of the outcome are defined by the parameters, a and b, which are the minimum and maximum values. All intervals of the same length on the distribution has equal probability.

The probability density function (pdf) of uniform distribution is defined as:

Where, a and b are lower and upper boundaries of output interval respectively.

An uniform distribution has mean (a+b)/2 and variance (b-a)2/12.

The cumulative distribution function (cdf) evaluated at x, is the probability that the random variable (X) will take a value less than or equal to x. The cdf of uniform distribution is defined as:

The NumPy random.uniform() function returns random samples from a uniform distribution.

Syntax

numpy.random.uniform(low=0.0, high=1.0, size=None)

Parameters

Return Value

Returns samples from the parameterized uniform distribution. ndarray or scalar.

Example: Values from uniform distribution

In the example below, random.uniform() function is used to create a matrix of given shape containing random values drawn from specified uniform distribution.

import numpy as np

size = (5,3)

sample = np.random.uniform(0, 1, size)
print(sample)

The possible output of the above code could be:

[[0.93041354 0.50856806 0.46275855]
 [0.31003963 0.10581335 0.64064579]
 [0.58998769 0.44103259 0.44828118]
 [0.22591024 0.10336945 0.74814414]
 [0.95073832 0.70598443 0.4166474 ]]

Plotting uniform distribution

Example: Density plot

Matplotlib is a plotting library for the Python which can be used to plot the probability density function (pdf) of uniform distribution using hist() function.

import matplotlib.pyplot as plt
import numpy as np

#fixing the seed for reproducibility
#of the result
np.random.seed(10)

size = 10000
#drawing 10000 sample from 
#uniform distribution
sample = np.random.uniform(0, 1, size)
bin = np.arange(-1,2,0.05)

plt.hist(sample, bins=bin, edgecolor='blue') 
plt.title("Uniform Distribution") 
plt.show()

The output of the above code will be:

Example: Comparing pdfs

Multiple probability density functions can be compared graphically using Seaborn kdeplot() function. In the example below, pdf of three uniform distributions (each with different low and high) are compared.

import numpy as np
import matplotlib.pyplot as plt
import seaborn as sns

#fixing the seed for reproducibility
#of the result
np.random.seed(10)

size = 10000
#plotting 10000 sample from 
#different uniform distribution
sns.kdeplot(np.random.uniform(0, 1, size))
sns.kdeplot(np.random.uniform(0, 2, size))
sns.kdeplot(np.random.uniform(0, 3, size))

plt.legend(["a = 0, b = 1", 
            "a = 0, b = 2", 
            "a = 0, b = 3"])
plt.show()

The output of the above code will be:

Example: Comparing cdfs

Multiple cumulative distribution functions can be compared graphically using Seaborn ecdfplot() function. In the example below, cdf of three uniform distributions (each with different low and high) are compared.

import numpy as np
import matplotlib.pyplot as plt
import seaborn as sns

#fixing the seed for reproducibility
#of the result
np.random.seed(10)

size = 1000
#plotting 1000 sample from 
#different uniform distribution
sns.ecdfplot(np.random.uniform(0, 1, size))
sns.ecdfplot(np.random.uniform(0, 2, size))
sns.ecdfplot(np.random.uniform(0, 3, size))

plt.legend(["a = 0, b = 1", 
            "a = 0, b = 2", 
            "a = 0, b = 3"])
plt.show()

The output of the above code will be:

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