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Various functions on Gaussian and Binomial distributions

Project description

Curve_distributions

Description

This is Curve Distribution package read in data from a txt file. The txt file should have one number (float) per line. The numbers are stored and according there are several functions are present:

  • Gaussian Distribution
  • Binomial Distribution
    functions includes calculating mean,standard deviation,plotting in-from of histograms,getting probability distribution function,plotting the normalized histogram of the data and a plot of the probability density function along the same range,etc.

Classes

  • Gaussian distribution class for calculating and visualizing a Gaussian distribution.

    Attributes:

      - mean (float) representing the mean value of the distribution
      - stdev (float) representing the standard deviation of the distribution
      - data_list (list of floats) a list of floats extracted from the data file
    
  • Binomial distribution class for calculating and visualizing a Binomial distribution.

    Attributes:

      - mean (float) representing the mean value of the distribution
      - stdev (float) representing the standard deviation of the distribution
      - data_list (list of floats) a list of floats to be extracted from the data file
      - p (float) representing the probability of an event occurring
      - n (int) number of trials
    

Functions

List of all the functions present that can be performed with either of the Gaussian or Binomial distributions

  • read_data_file(self,file_name) Function to read in data from a txt file. The txt file should have one number (float) per line. The numbers are stored in the data attribute.

      Args:
          file_name (string): name of a file to read from
    
      Returns:
          None
    
  • calculate_mean(self) Function to calculate the mean of the data set.

      Args:
          None
    
      Returns:
          float: mean of the data set
    
  • calculate_stdev(self, sample=True) Function to calculate the standard deviation of the data set.

      Args:
          sample (bool): whether the data represents a sample or population
    
      Returns:
          float: standard deviation of the data set
    
  • plot_histogram(self) Function to output a histogram of the instance variable data using matplotlib pyplot library.

      Args:
          None
    
      Returns:
          None
    
  • pdf(self, x) Probability density function calculator for the gaussian distribution.

      Args:
          x (float): point for calculating the probability density function
    
    
      Returns:
          float: probability density function output
    
  • plot_histogram_pdf(self, n_spaces=50) Function to plot the normalized histogram of the data and a plot of the probability density function along the same range

      Args:
          n_spaces (int): number of data points
    
      Returns:
          list: x values for the pdf plot
          list: y values for the pdf plot
    
  • __add__(self, other) Function to add together two Gaussian distributions

      Args:
          other (Gaussian): Gaussian instance
    
      Returns:
          Gaussian: Gaussian distribution
    
  • __repr__(self) Function to output the characteristics of the Gaussian instance

      Args:
          None
    
      Returns:
          string: characteristics of the Gaussian
    

Installation

  • Step 1: To install the package
    pip install curve_distributions
  • Step 2: To import the package and classes
    from curve_distributions import Gaussian,Binomial

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