Plotting of 1-dimensional Gaussian distribution function

Question

How do I make plots of a 1-dimensional Gaussian distribution function using the mean and standard deviation parameter values      s     -1  1    0  2   and  2  3    I m new to programming  using Python   Thank you in advance

User · Answer

In addition to previous answers  I recommend to first calculate the ratio in the exponent  then taking the square   def gaussian x x0 sigma     return np exp -np power  x - x0  sigma  2   2     That way  you can also calculate the gaussian of very small or very large numbers   In  gaussian 1e-12 5e-12 3e-12  Out  0 64118038842995462

User · Answer

you can read this tutorial for how to use functions of statistical distributions in python  http   docs scipy org doc scipy reference tutorial stats html  from scipy stats import norm import matplotlib pyplot as plt import numpy as np    initialize a normal distribution with frozen in mean -1  std  dev   1 rv   norm loc   -1   scale   1 0  rv1   norm loc   0   scale   2 0  rv2   norm loc   2   scale   3 0   x   np arange -10  10   1    plot the pdfs of these normal distributions  plt plot x  rv pdf x   x  rv1 pdf x   x  rv2 pdf x

User · Answer

You are missing a parantheses in the denominator of your gaussian   function  As it is right now you divide by 2 and multiply with the variance  sig 2   But that is not true and as you can see of your plots the greater variance the more narrow the gaussian is - which is wrong  it should be opposit   So just change the gaussian   function to   def gaussian x  mu  sig       return np exp -np power x - mu  2      2   np power sig  2

User · Answer

The correct form  based on the original syntax  and correctly normalized is   def gaussian x  mu  sig       return 1   np sqrt 2  np pi  sig  np exp -np power  x - mu  sig  2   2

User · Answer

With the excellent matplotlib and numpy packages  from matplotlib import pyplot as mp import numpy as np  def gaussian x  mu  sig       return np exp -np power x - mu  2      2   np power sig  2      x values   np linspace -3  3  120  for mu  sig in   -1  1    0  2    2  3        mp plot x values  gaussian x values  mu  sig    mp show     will produce something like

[python] Plotting of 1-dimensional Gaussian distribution function

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