Moment Generating Function for Probability Distribution with Python

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This tutorial's code is available on Github and its full implementation as well on Google Colab. Check out our editorial suggestions on the best data science books. We generally use moments in statistics, machine learning, mathematics, and other fields to describe the characteristics of a distribution. Let's say the variable of our interest is X then, moments are X's expected values. Now we are very familiar with the first moment(mean) and the second moment(variance).

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