Exponential.py

# You can use this program to calculate the (Exponential Distribution) and (display its Graph).

# Exponential Distribution formula in mathematics is written as follows:      f(x) = λ * e^(-λ * x)
#                                                                        --->    λ = rate parameter 
#                                                                        --->    x = random variable
#                                                                        ---> The rate parameter is calculated as the inverse of the mean of the data.



import numpy as np
import matplotlib.pyplot as plt

class ExponentialDistribution:
    def __init__(self, data):
        self.data = data

    def plot(self):
        rate_parameter = 1 / np.mean(self.data)                    # Calculate the rate parameter of the exponential distribution based on the mean of the dataset.
        x = np.linspace(0, max(self.data), 100)                    # Generate 100 evenly spaced values between 0 and the maximum value in the dataset.
        y = rate_parameter * np.exp(-rate_parameter * x)           # Calculate the probability density function of the exponential distribution for each value in x.

        plt.plot(x, y)
        plt.xlabel('Values')
        plt.ylabel('Probability Density Function')
        plt.title('Exponential Distribution')
        plt.grid(True)
        plt.show()
 
class DataAnalyzer:
    def __init__(self):
        self.data = []
    def read_data(self):
        data_input = input("---> Enter a list of numbers (comma-separated): ")
        self.data = [float(x.strip()) for x in data_input.split(',')]

    def calculate_statistics(self):
        mean = np.mean(self.data)
        print("---> Mean:", mean)
        return mean
 

# This part of the code is written as an example to show the output of the code.
# According to your needs, you can change or delete this part.

def banner():
    print("""
          
*****************************************************************************************************
*                  (:               ***   Welcome   ***                 :)                          *
*                                                                                                   *
*    You can use this program to calculate the (Exponential Distribution) and display its Graph.    *
*                                                                                                   *
*****************************************************************************************************
*                                                                                                   *
*           Exponential Distribution formula in mathematics is written as follows:                  *
*                                                                                                   *
*                                  f(x) = λ * e^(-λ * x)                                            *
*                                                                                                   *
*                  --->    λ = rate parameter                                                       *
*                  --->    x = random variable                                                      *
*                  ---> The rate parameter is calculated as the inverse of the mean of the data.    *
*                                                                                                   *
****************************************************************************************************
    """)

def main():
    banner()
    analyzer = DataAnalyzer()
    analyzer.read_data()
    mean = analyzer.calculate_statistics()
    plotter = ExponentialDistribution(analyzer.data)
    plotter.plot()
    print("*********************************************************************\n")


if __name__ == '__main__':
    main()


# An example of how to use the program is shown.