The cumulative minimum of a Pandas.series is the minimum value you've seen so far when iterating on the series.
A cumulative product can be easily computed using Pandas DataFrame.cummin() method.
Applied to a series like in the example below
Here is an example
Here you are! You now know how to compute the cumulative minimum with Pandas using Python.
More on DataFrames
If you want to know more about DataFrame and Pandas. Check out the other articles I wrote on the topic, just here :