LOR14: Sigma-algebras and probability spaces

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The Logic of Risk

Pasquale Cirillo

18 episodes

6 days ago

A podcast about risk, probability, philosophy and data science.

Become a supporter of this podcast: https://www.spreaker.com/podcast/the-logic-of-risk--6469023/support.

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A podcast about risk, probability, philosophy and data science.

Become a supporter of this podcast: https://www.spreaker.com/podcast/the-logic-of-risk--6469023/support.

Mathematics

Science

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LOR14: Sigma-algebras and probability spaces

The Logic of Risk

16 minutes

1 month ago

LOR14: Sigma-algebras and probability spaces

In this episode, we answer the question we left hanging at the end of Episode 13: What is a sigma-algebra?
We will explore the properties of a sigma-algebra and explain why we want our event space to be one. Next, we will discuss probability spaces in a simple yet rigorous way, which will set the stage for understanding random variables and the mathematical treatment of risk measures.
Finally, we will discover why it can be inconvenient to swim naked.
Are you ready to wear a swimsuit?

Become a supporter of this podcast: https://www.spreaker.com/podcast/the-logic-of-risk--6469023/support.