BOREL SETS ARE NOT THAT SCARY: MATHEMATICAL DEFINITION OF CONTINUOUS RANDOM VARIABLES

We explain the mathematical definition of continuous random variables as functions from a sample space to the real numbers, connecting it to the way we usually describe and manipulate continuous random variables (through their associated probabilities).

[@loukaskontogiannis7115]

Carlos, this video is a gem! As you mentioned in the beginning of the video, I came across the mathematical definition of Borel sets in the first few pages of the book "Statistical Inference" by Casella and Berger, and I was stumped.
Now, after listening to your explanation I totally get it. I especially liked your early slide on motivation, as it provided the context for appreciating why Borel sets are useful.
I can't thank you enough. Brilliant work 👍

[@stavrostsalapatis5030]

Great work Mr. Fernandez- Granda!

[@OtterMorrisDance]

Nicely explained!

[@ahmadmahagna1255]

somebody give this guy a nobel prize ASAP.

[@nicolasrojas8178]

I had some doubts and this was super useful. Thank you Carlos. Subscribed!

[@ytenergy444]

Thank you

[@ConstanceQuinn-rg2we]

thank you!