As a spinoff of the workshop Categorical Probability and Statistics, Oliver Shetler has organized a reading group on category theory applied to statistics. The first meeting is Saturday June 27th at 17:00 UTC.

Here is a reading list. I’m sure the group won’t cover all these papers—we’ll start with the first one and see how it goes from there. But it’s certainly helpful to have a list like this.

I think it is not just a question of ‘interest’. With Covid there is increasing demands on time. Not so much for me but I see a lot of comments about the new modes of teaching on-line.

I agree with John that trying to bridge the gap between Statistics and areas such as category theory may be very useful.

I was not doubting that but it is the time element. I hope it is very successful as I think that the interplay of category theory with a whole lot of probabilistic and statistical problems could be very important in the future.

Sorry, I don’t know anyone in charge of account reactivation. Accounts usually don’t get deactivated, I think. Maybe the easiest thing is to create a new account.

I tried, but that directs you to a page saying you need an invitation without giving a link or contact address. Who sends out the invitation to join the zulip?

Given the recent talk of inclusion and broadening the community I wonder why the forum needs to be closed anyway – at least for reading if not for posting. Shouldn’t it be easier for people to join?

It’s quite easy. In my blog article here it says “If you want to join this reading group you can register for the Category Theory Community Server and then go here.” So just do that.

Thanks for all the great links. I love reading about folks who are thinking about statistics and probability algebraically. One thing I have always wondered is if there is some category in which you can do statistics, and an associated category that maps those calculations to statements. I’m always fascinated by the precise but seemingly convoluted logic of statistics, as in, we can not say that H1 is true, only that our calculations of a certain probability allows us to reject the validity of some Null hypothesis. This is the language of modern science. We don’t prove a hypothesis is true, only that all competing hypothesis are wrong. Well, casually, we we just say, H1 is true. It all has the feeling of the logic the Bell uses in his calculus with infinitesimals book, constructive logic.

You need the word 'latex' right after the first dollar sign, and it needs a space after it. Double dollar signs don't work, and other limitations apply, some described here. You can't preview comments here, but I'm happy to fix errors.

I think it is not just a question of ‘interest’. With Covid there is increasing demands on time. Not so much for me but I see a lot of comments about the new modes of teaching on-line.

I agree with John that trying to bridge the gap between Statistics and areas such as category theory may be very useful.

I’m pretty sure that enough people want to join this reading group that it will take off, despite COVID-19 and other problems.

I was not doubting that but it is the time element. I hope it is very successful as I think that the interplay of category theory with a whole lot of probabilistic and statistical problems could be very important in the future.

Who should we contact for account reactivation? I can’t get into the zulip forum anymore to follow the discussion. Thank you.

Sorry, I don’t know anyone in charge of account reactivation. Accounts usually don’t get deactivated, I think. Maybe the easiest thing is to create a new account.

I tried, but that directs you to a page saying you need an invitation without giving a link or contact address. Who sends out the invitation to join the zulip?

Given the recent talk of inclusion and broadening the community I wonder why the forum needs to be closed anyway – at least for reading if not for posting. Shouldn’t it be easier for people to join?

It’s quite easy. In my blog article here it says “If you want to join this reading group you can register for the Category Theory Community Server and then go here.” So just do that.

Thanks for all the great links. I love reading about folks who are thinking about statistics and probability algebraically. One thing I have always wondered is if there is some category in which you can do statistics, and an associated category that maps those calculations to statements. I’m always fascinated by the precise but seemingly convoluted logic of statistics, as in, we can not say that H1 is true, only that our calculations of a certain probability allows us to reject the validity of some Null hypothesis. This is the language of modern science. We don’t prove a hypothesis is true, only that all competing hypothesis are wrong. Well, casually, we we just say, H1 is true. It all has the feeling of the logic the Bell uses in his calculus with infinitesimals book, constructive logic.

By the way, the obsessive focus on null hypotheses and significance testing is a mistake. People are slowly switching to better methodologies. I wish there were a free online version of Rindskopf’s paper Null-hypothesis tests are not completely stupid, but Bayesian statistics are better, but I don’t see one. These are free:

• Bruno Lecoutre, The significance test controversy and the Bayesian alternative,

Encyclopedia of Mathematics.• Jeffrey A. Gliner, Nancy L. Leech and George A, Morgan, Problems with null hypothesis significance testing (NHST): what do the textbooks say?

The first meeting of the Categorical Statistics Group is Saturday June 27th at 17:00 UTC. You can sign up here, and also read more about it there.