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How to use random.expovariate() funtion in Python random.

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by l.rohitharohitha2001@gmail.com dot icon Updated: Sep 27, 2023

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A random variable is a math function that gives a number to each possible outcome of a random experiment. A random event determines the value of the variable.


Random variables measure and study uncertainty in finance, engineering, and science.  

Types of Random Variables:  

  • Discrete Random Variables  
  • Continuous Random Variables  
  • Bernoulli Random Variable  
  • Binomial Random Variable  
  • Poisson Random Variable  
  • Geometric Random Variable  
  • Uniform Random Variable  
  • Exponential Random Variable  
  • Gamma Random Variable.  

Key points of the essay:  

Understanding random variables is important to make good choices in school and life.  

  1. Definition and Types: Random variables are numbers that represent uncertain outcomes. Math uses them. They come in two primary types: discrete (countable) and continuous (infinite). We use discrete random variables for distinct outcomes. We use continuous random variables for measurements in a range.  
  2. Properties and Distributions: Random variables have certain properties. These include domain, expected value, variance, and standard deviation. Probability distributions associate different outcomes with likelihood. Common distributions include the normal, binomial, and Poisson distributions.  
  3. Real-World Applications: People use random variables like gambling or weather forecasting. They also have finance, manufacturing, healthcare, and sports analytics applications. They model uncertainty, guide decision-making, and assess risks.  

  

Understanding random variables is crucial for making informed decisions in an unpredictable world. When working with data, understanding random variables can improve decision-making in uncertain situations. It also reduces risks and improves the accuracy of your assessments. Ultimately, it unlocks data-driven decision-making's full potential in a complex world.  


Here is the example of how to use random.expovariate() funtion in Python random.

Fig: Preview of the output that you will get on running this code from your IDE.

Code

In this solution we are using Python Random library of Python.

Generate random numbers from exponential distribution and model using python

PythondotLines of Code : 34dotLicense : Strong Copyleft (CC BY-SA 4.0)

Dependent Libraries : 
import matplotlib.pyplot as plt
from math import exp
from scipy.stats import norm


x = range(0, 16)
Y = [0.27*exp(-0.27*_) for _ in x]
error = norm.rvs(0, scale=0.05, size=9)
simulated_data = [max(0, y+e) for (y,e) in zip(Y[:9],error)]

plt.plot(x, Y, 'b-')
plt.plot(x[:9], simulated_data, 'r.')
plt.show()

print (x[:9])
print (simulated_data)

from math import exp
from scipy.optimize import curve_fit
import numpy as np

def model(x, p):
    return p*np.exp(-p*x)

x = list(range(9))
Y = [0.22219001972988275, 0.15537454187341937, 0.15864069451825827, 0.056411162886672819, 0.037398831058143338, 0.10278251869912845, 0.03984605649260467, 0.0035360087611421981, 0.075855255999424692]

popt, pcov = curve_fit(model, x, Y)
print (popt[0])
print (pcov)

residuals = [y-model(_, popt[0]) for (y, _) in zip(Y, x)]
print (residuals)

Instructions


Follow the steps carefully to get the output easily.


  1. Download and Install the Jupyter Notebook on your computer.
  2. Open the terminal and install the required libraries with the following commands.
  3. Create a new Python file on your Notebook.
  4. Copy the snippet using the 'copy' button and paste it into your Python.
  5. Run the current file to generate the output.


I hope you found this useful.


I found this code snippet by searching for 'Generate random numbers from exponential distribution and model using python' in Kandi. You can try any such use case!

Environment Tested


I tested this solution in the following versions. Be mindful of changes when working with other versions.

  1. Jupyter Notebook (anaconda 3) 6.0.1 Version
  2. The solution is created in Python 3.8 Version
  3. Python Random.


Using this solution, we can be able to use random.expovariate() funtion in Python random. This process also facilities an easy way to use, hassle-free method to create a hands-on working version of code which would help us to use random.expovariate() funtion in Python random.

Dependent Library


Random-Erasingby zhunzhong07

Python doticonstar image 660 doticonVersion:Currentdoticon
License: Permissive (Apache-2.0)

Random Erasing Data Augmentation. Experiments on CIFAR10, CIFAR100 and Fashion-MNIST

Support
    Quality
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        License
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            Random-Erasingby zhunzhong07

            Python doticon star image 660 doticonVersion:Currentdoticon License: Permissive (Apache-2.0)

            Random Erasing Data Augmentation. Experiments on CIFAR10, CIFAR100 and Fashion-MNIST
            Support
              Quality
                Security
                  License
                    Reuse

                      FAQ:  

                      1. What is the compatible alternative random number generator for Python's random module?   

                      In Python, the random module provides pseudo-random number generation. If you need reliable random number generators with extra features and improved randomness: 

                      1.  NumPy's Random Module (numpy. random): NumPy is a fundamental library for numerical computing in Python. The module has a random generator. It gives many different numbers with different probabilities.  
                      2.  SciPy's Stats Module (scipy. stats): SciPy builds on NumPy and offers additional statistical functions and probability distributions. It provides more advanced statistical tools, including random number generators for specific distributions.  
                      3. Random2 Module: If you want a more predictable random module, try using the random2.  

                        

                      2. How can I generate a floating-point number using random? expovariate()?   

                      To create a random decimal number in Python's random module, use random.expovariate(). Here's how: 

                      The random.expovariate() function creates random numbers from an exponential distribution. This distribution is commonly used to model the time between events in a Poisson process.  

                        

                      3. Why is Python's random module useful for generating pseudo-random numbers?   

                      Python's random module helps generate random numbers in various situations.  

                      • Ease of Use  
                      • Wide Range of Distributions  
                      • Seed Control  
                      • Pseudo-Randomness  
                      • Random Sampling  
                      • Cryptographically Secure Randomness  
                      • Advanced Randomization  
                      • Probability Distributions  

                        

                      4. How does random.expovariate() create a uniform random angle?   

                      The expovariate() function in Python's random module doesn't create a uniform random angle. Instead, it generates random numbers from an exponential distribution. This distribution is different from generating a uniform random angle.  

                        

                      5. How can I ensure my output is valid when sampling with this method?   

                      When sampling in Python, it is important to consider the requirements and constraints.  

                      • Understand the Population  
                      • Random Sampling  
                      • Sample Size  
                      • Specify Sampling Method  
                      • Check for Over-Sampling  
                      • Validate Sample Properties  
                      • Edge Cases  
                      • Data Quality  
                      • Validation and Verification  

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