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Foundations of Modern Probability

This class was created by Brainscape user Caleb Pleavin. Visit their profile to learn more about the creator.

By: Caleb Pleavin
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Decks in this class (9)

2) Probability Spaces
What is a probability space,
What is,
What is a probability measure
13  cards
3) Random Variables
What is a measurable space,
What is a measurable function,
What are the conditions for a fun...
18  cards
4) Independence
What does it mean for events ai i...,
What does it mean for families of...,
What does it mean for random vari...
13  cards
5) Expectation
What is the expectation of a rand...,
What are the properties of expect...,
How is the lebesgue stieltjes ls ...
18  cards
6) Inequalities
What is markov s inequality,
What is chebyshev s inequality,
What is a convex function
9  cards
7) Modes of Convergence
What is almost sure convergence o...,
What is convergence in probability,
What is convergence in p mean
6  cards
8) The Law of Large Numbers
What is the one series theorem,
What result holds if the random v...,
What is the two series theorem
12  cards
9) Characteristic Functions
What is the charactertistic funct...,
What are the charactertistic func...,
What are the properties of the ch...
7  cards
10) The Central Limit Theorem
What does f x o g x mean,
What is the second order approxim...,
What inequality relates log log 1...
4  cards

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Foundations of Modern Probability

  • Class purpose General learning

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