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Carlos Fernandez-Granda

probability and Statistics for Data ScienceCarlos Fernandez-GrandaPrefaceThese notes were developed for the courseProbability and Statistics for Data Scienceat theCenter for Data Science in NYU. The goal is to provide an overview of fundamental conceptsin probability and statistics from first principles. I would like to thank Levent Sagun and VladKobzar, who were teaching assistants for the course, as well as Brett Bernstein and DavidRosenberg for their useful suggestions. I am also very grateful to all my students for writing these notes, I was supported by the National Science Foundation under NSFaward York, August 2017iiContents1 Basic probability probability spaces.

ii. Contents 1 Basic Probability Theory1 ... In this chapter we introduce the mathematical framework of probability theory, which makes it possible to reason about uncertainty in a principled way using set theory. AppendixAcontains a review of basic set-theory concepts.

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