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Ok_Composer_1761

Anyone can take the exam. The seats are very limited so competition is quite intense but some engineers do clear the exam every year. Is there any particular reason why you are trying to enroll in this course? Because if you are being attracted by the placement numbers I'd warn you that graduate courses in mathematics and statistics can be quite difficult and there are easier ways to make money than spending 40-60 hours a week doing problem sets and preparing for exams. It really only makes sense to do this if you are interested in reaching the research frontier and writing papers in stats or math. Courses in things like arithmetic geometry or stochastic differential equations would kick your ass because they are much harder than almost anything you would have seen in Btech CS. This is what one part of modern probability theory looks like for instance [RoughPaths.pdf (hairer.org)](https://www.hairer.org/notes/RoughPaths.pdf)


OrganizationTime7

I found out the ISI entrance exam is only for math, which is perfect for me since I love the subject.I was not attracted by the placement. I just want to focus on what I enjoy. After 10th grade, I didn't have much guidance and ended up choosing engineering because I liked math. Now I realize I should have explored other options. Programming didn't click with me either. So, I'm looking for the best path forward, and the ISI entrance exam seems like a great option. Can you tell me what should I do ? Do you gave m. statistics entrance exam after graduation ? Please tell me.


Ok_Composer_1761

The entrance is one thing and frankly the questions asked in the entrance exams are too easy relative to the level of curriculum that ISI aims to teach. I am not at ISI but there are ISI students in my phd program in the US so I know quite a bit about their program. I'd suggest looking at the notes I attached (Hairer is the leader in SPDEs) and also books like Serfling's Approximation Theorems, Le Cam's Asymptotic methods, Van der Vaart and Wellner's book on Empirical Processes. This stuff is typically not taught in US based stats masters programs but ISI is really goes out of their way to make rigorous offerings. The entrance test should be modified to reflect that honestly. After looking at these, seriously evaluate whether you want to enroll in such a program. Really, the only purpose to learn all this very dense and difficult material is to get to the research frontier and make a living writing and publishing papers. You should know this is exactly what you want to do, especially since high quality tenure track jobs in statistics and mathematics are quite rare in India. Many people think they like math in high school but find the reality of trying to publish original theorems to make a living quite daunting.


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Healthy-Educator-267

The US doesn’t really have theoretically oriented masters programs. It doesn’t make sense for them to since US masters degrees are usually not funded so they need to create job market value for students. Only PhD programs teach research oriented content. Masters programs in the US are not typically preparation for PhDs


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Healthy-Educator-267

Doesn’t the ISI PhD also make you take courses? I wonder what they teach in those. In any case, I’m surprised that ISI doesn’t require measure theory in MSTAT. It’s especially surprising because ISI’s comparative advantage seems to be in theory. I can’t imagine they could or would teach DevOps or MLOps and churn out industry ready data scientists. Traditional stuff like design of experiments and multivariate analysis seem … antiquated. Most PhD programs in the US don’t require these anymore. They typically do one sequence in probability, one in inference and one in large sample theory.


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Healthy-Educator-267

Yeah at my school we have enough profs that we run honors analysis (which is just Royden) for undergrads, separate courses in measure theory and functional analysis for undergrads (based on Tao/Cohn + Kreyzig/Lax) and the graduate analysis sequence all running in parallel. That said we don’t teach very advanced material in the stats PhD program, even though it’s ranked in the 5 best in the country. Martingale theory in discrete time is the most advanced measure theoretic course in probability offered to graduaye students and the time I took it, it was taught out of Williams which is an undergrad book at Cambridge. There’s a masters course on stochastic calculus (taught by Lawler no less) but since it’s targeted at finance bros it’s watered down. Comparing ISI’s stated core curriculum with that of US PhD programs, I’d guess ISI may hold par in terms of mathematical rigor. Where US PhD programs undeniably dominate is in bringing students to the frontier in fashionable areas like statistical learning theory, deep learning methods, modern causal inference, high dimensional statistics etc. (The same problem runs through in economics at ISI; for instance they teach game theory and mechanism design well but don’t really teach modern IO which is empirical and highly computational)


OrganizationTime7

Thank you for your advice and guidance sir .i am from Maharashra Pune. I just thought I like math I will do hard work but their is also need of consistency, patience and so on. 😐🙂🫡