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MeasureTheory.jl as a tool to learn Measure Theory

Open arbenede opened this issue 3 years ago • 2 comments

This is more an idea/invitation than an issue. I have struggled for a long time to learn Measure Theory and never got much beyond the first few chapters of many MT books... I think that this package could be a vehicle to explain and teach the basics of measures to an audience interested in using it in their day to day work more than in learning its foundations. So I really hope that someone will write a tutorial with examples. For example, this package should allow to do regression on a mixture of discrete and continuous random variables, correct? That is actually a problem I worked on some time ago...

arbenede avatar May 06 '21 14:05 arbenede

Yeah, you can define such a mixture and use it in inference.

mschauer avatar May 06 '21 17:05 mschauer

Thanks @arbenede , I think this is a great idea. Most of the references I know of are very theoretical, and I think there could be an opportunity for something with a more applied focus, and as you say lots of examples.

I wrote a post on Zulip today that you might find helpful as part of an introduction: https://julialang.zulipchat.com/#narrow/stream/259730-measuretheory.2Ejl/topic/Base.20measures.2C.20representatives.2C.20etc

cscherrer avatar May 06 '21 23:05 cscherrer