None of the courses you've mentioned are maths, unless your probability classes are measure theoretic. Any of these classes should be fine, and perhaps none of them are really fundamental apart from inference.
I am trying to decide on which undergrad math courses to take for PhD econ.
I have three classes in mind: probability, stat inference, and stochastic op research.
Ideally, I would take all, but I'd need to drop one. I've been thinking that probability is the most important one out of them, but it's with a notoriously bad professor.
So, my heart tells me that i should drop probability, but I am not sure how important it is to have probability on the list of classes I took in undergrad.
Any advice/opinion on this? Thanks in advance!
Probability > stat inference >>>>> stochastic op research.
I was told by multiple economists to become intimately familiar with probability and statistics (e.g., Bayes, distributions and moments, maximum likelihood, CLT, MSE).
You need a proof-based probability course for econ PhD. Not having one means you'll crash in first year metrics and perhaps micro/macro, regardless of admissions results.
If a particular probability class sucks, try to find a probability course at either a higher level or a lower level. There are not many colleges where only one level of proof-based probability course is offered. Go take one based on measure theory if you really have to.
Stochastic op research might be useful but it's not clear to me that you actually satisfy the prerequisites, considering you don't have any dedicated probability course on your transcript. Stat inference seems like a softer stats course which is not needed in the typical trajectory of an econ PhD applicant.
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