Gaussian and binomial distribution classes
Project description
fsc-distributions package
Package that contains classes for binomial and gaussian distributions, created while taking the AI Programming with Python - Bertelsmann course on Udacity
Installation instructions
pip install fsc_distributions
Gaussian class
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
Methods:
read_data_file(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() Function to calculate the mean of the data set.
Args:
None
Returns:
float: mean of the data set
calculate_stdev(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() Function to output a histogram of the instance variable data using matplotlib pyplot library.
Args:
None
Returns:
None
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 = 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
from fsc_distributions import Gaussian
gaussian1 = Gaussian(25,2) #create a new Gaussian object and initialize the mean with 25 and stdev with 2
gaussian2 = Gaussian(35,8) #create a new Gaussian object and initialize the mean with 25 and stdev with 8
gaussian3 = gaussian1 + gaussian2 #sum the two distributions with an overloaded add operator
Binomial class
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
Methods:
read_data_file(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() Function to calculate the mean from p and n
Args:
None
Returns:
float: mean of the data set
calculate_stdev(sample=True) Function to calculate the standard deviation from p and n.
Args:
None
Returns:
float: standard deviation of the data set
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 histogram of the instance variable data using matplotlib pyplot library.
Args:
None
Returns:
None
pdf(k) Probability density function calculator for the binomial distribution.
Args:
k (float): point for calculating the probability density function
Returns:
float: probability density function output
plot_bar_pdf()Function to plot the pdf of the binomial distribution
Args:
None
Returns:
list: x values for the pdf plot
list: y values for the pdf plot
from fsc_distributions import Binomial
binomial1 = Binomial(0.5,20) #create a new Binomial object and initialize the prob with 0.5 and size with 20
binomial2 = Binomial(0.5,30) #create a new Binomial object and initialize the prob with 0.5 and size with 30
binomial3 = binomial1 + binomial2 #sum the two distributions with an overloaded add operator (only sums binomials with the same p)
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