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Use Bayes' Theorem to Investigate Food Allergies

January 22, 2016 by Will Kurt

Your friends probably don't have a food allergy, but how sure are you?

How likely is it that your friends really have food allergies? More important should you believe them? In this post we look at using Bayes' theorem to model this everyday question.

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January 22, 2016 /Will Kurt
January 2016
14 Comments

Understanding Markov Chains with the Black Friday Puzzle

November 23, 2015 by Will Kurt

Use Markov Chains and Linear Algebra to solve this holiday puzzle!

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November 23, 2015 /Will Kurt
November 2015, Stochastic Processes, Markov Chains, popular
27 Comments

The Toy Collector's Puzzle

October 13, 2015 by Will Kurt

In this post we look at the classic Coupon Collector's problem as well as a more interesting variant of it!

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October 13, 2015 /Will Kurt
October 2015, Stochastic Processes
11 Comments

The Lebesgue Integral: a Curious Tea Party (Part 2)

September 29, 2015 by Will Kurt

Part 2 in our exploration of the Lebesgue Integral

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September 29, 2015 /Will Kurt
September 2015, Measure Theory, Integration
2 Comments

The Lebesgue Integral: A Curious Tea Party (Part 1)

September 15, 2015 by Will Kurt

In this post we use a strange tea party to explore a practical understanding of the Lebesgue integral

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September 15, 2015 /Will Kurt
September 2015, Measure Theory, Integration
10 Comments

Probability Spaces: An Illustrated Introduction

September 01, 2015 by Will Kurt

Using pictures to explain the idea of Probability Spaces in Rigorous Probability Theory

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September 01, 2015 /Will Kurt
September 2015, Measure Theory
8 Comments

Measure Theory for Probability: A Very Brief Introduction

August 18, 2015 by Will Kurt

In this post we discuss an intuitive, high level view of measure theory and why it is important to the study of rigorous probability.

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August 18, 2015 /Will Kurt
August 2015, Integration
9 Comments

The Riemann Integral

August 04, 2015 by Will Kurt

The Fundamental Theorem of Calculus is a beautiful thing, but it fails to describe some very simple integrals. In this post we look at how the Riemann Integral can solve some of these problems.

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August 04, 2015 /Will Kurt
August 2015, Integration
1 Comment
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