aac-distributions 0.6

Gaussian and Binomial distributions

aac-distributions package

This package provides the Gaussian and Binomial distribution classes.

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

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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.
            
Methods:
	
    calculate_mean() - Function to calculate the mean of the data set.
    
	calculate_stdev() - Function to calculate the standard deviation of the data set.
    
	plot_histogram() -  Function to output a histogram of the instance variable data 
    using matplotlib pyplot library.
    
	read_data_file(filename) -  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. 
    
	pdf(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(n_spaces) - 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__(other) - Function to add together two Gaussian distributions
        Args:
            other (Gaussian): Gaussian instance
        Returns:
            Gaussian: Gaussian distribution
        
	__repr__() - Function to output the characteristics of the Gaussian instance

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• Binomial - Binomial distribution class for calculating and visualizing a Binomial distribution.

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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.
    
Methods:

	calculate_mean() - Function to calculate the mean of the Binomial distribution from p and n.
    
	calculate_stdev() - Function to calculate the standard deviation of the Binomial distribution from p and n.
    
	read_data_file(filename) -  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.
    
	replace_stats_with_data() - Function to calculate p and n from the data set
        Args: 
            None
        Returns: 
            float: the p value
            float: the n value
        
	plot_bar() - Function to output a bar chart of the instance variable data using 
    matplotlib pyplot library.
    
	pdf(k) - Probability density function calculator for the binomial distribution.
        Args:
            x (float): point for calculating the probability density function
        Returns:
            float: probability density function output
        
	plot_bar_pdf() - Function that creates the bar chart that plots the pdf of the binomial distribution
        Args:
            None 
        Returns:
            list: x values for the pdf plot
            list: y values for the pdf plot 
        
	__add__(other) - Function to add together two Binomial distributions with equal p
        Args:
            other (Binomial): Binomial instance            
        Returns:
            Binomial: Binomial distribution   
        
	__repr__() - Function to output the characteristics of the Binomial instance.

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• Distribution - Generic distribution class for calculating and visualizing a probability distribution, from which Gaussian and Binary distributions inherit

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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.

Methods:

	read_data_file(filename) -  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.

Files

• Generaldistribution.py -> contains the Distribution class, its attributes and methods being inherited by Gaussian and Binomial class.
• Gaussiandistribution.py -> contains the Gaussian class, its attributes and methods as described in aac-distributions package summary.
• Binomialdistribution.py -> contains the Binomial class, its attributes and methods as described in aac-distributions package summary.

Installation

• Note: In init.py, notice that there's is a dot in front of the .py files when importing the Gaussian and Binomial classes.

• This dot is required in Python 3.X, but if you are working in Python 2.X, you shouldn't need it.

• The classes in this package make use of built-in Python libraries like: Math - provides access to mathematical functions matplotlib - provides data visualization and graphical plotting functionality

• To install the package, type pip install aac-distributions