Generating Function II: Some insights into the Poisson distribution
You may want to watch my previous video on the generating functions: • A brief introduction to generating functions If you want to know more about the usage of generating functions in network science, check out this paper: https://journals.aps.org/pre/pdf/10.1... or Mark Newman's "Networks" book: https://www.amazon.com/Networks-Mark-... Chapters: 0:00 Poisson distribution 0:38 Probability generating function review 2:20 Probability generating function for Bernoulli process and binomial distribution 6:08 What happens to PGF of binomial distribution when N goes to infinity? 9:30 Connection between binomial and Poisson -- Intuition 9:58 Application to network science (ER random graph model) --- Website: https://yongyeol.com Twitter: / yy
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