Suppose we have a function (like pdf of a normal distribution), and we want to approximate it with histograms under the function. I wanna specify the number of bins and draw histograms under the curve. How is it possible to do in Python? For example, a graph like below, but all spikes are under the curve, and the number of bins is a parameter.
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You can use the
pdf
to decide the heights of the bars:Each center of a bar will be just as high as the
pdf
, so the bars will cut the curve. To only touch the curve, one could calculate thepdf
at the lowest point, beingx + width/2
for positive points. As thepdf
is symmetric,abs
can be used to create a single expression for both positive and negative x-values.Here is an animation created via the celluloid library.
PS: Here is a list of related questions (collected by @TrentonMcKinney), where you can find additional explanation and ideas: