Cavalerius

Hey, @confusedbear, here's a post from a couple years ago, in which I asked a somewhat similar question: Choice of Program (among NCSU, UNC, TAMU, and UT Austin) - Mathematics and Statistics - The GradCafe Forums. I'd be happy to discuss UT's program with you in further detail as well! (And for reference, I was barely knowledgeable of Bayesian statistics before applying, but UT certainly does excel in this area, and in my now likely biased views, I couldn't really envision myself doing another type of statistics. Even after entering the program, I have stayed in touch with people at different programs, and I do think that UT's program does a comparatively good job of getting students involved in research early on. The benefits of being in a smaller program for me have been immense, and the program is also in the process of growing, so being a part of the development of the program, a process in which students are encouraged to participate, is also exciting!)

Do you have any advisers that might help you find the right courses? I think that for PhD programs in statistics, the criteria are slightly strange, or at least might be somewhat unexpected from the perspective of an undergrad in statistics. It would seem that mathematics courses are of greater value than are statistics courses. My focus was on pure mathematics, particularly algebra and topology. And I can't say that such a focus hurt my application to stats programs. I guess a lot of it comes down to building mathematical "maturity," rather than having completed certain classes, beyond the obvious prerequisites, that is. It would of course be desirable that building a "firm foundation," as you say, be aligned with the courses valued by admissions committees, but there's also a point to be made, I think, for having had some exposure to various branches of mathematics. Research in statistics takes many forms.

Before applying to programs, I reached out to professors at all the schools I was considering. In selecting to which programs to apply, I read the recent papers of professors whose research interests were compatible with mine, and then, I reached out to the professors a few months before the application deadlines. All the professors replied. Some went so far as to schedule meetings with me beforehand to discuss their programs and research; others provided brief but cordial responses. During my campus visits, after being accepted to the programs, I was glad to have had established some familiarity with the professors and felt that our conversations were enriched as a result. I also learned some key details from the initial email exchanges; for instance, in one case, I learned that the professor with whom I was most interested in working would be leaving the department at the end of the year. While it is probably inadvisable to attend a school with the sole intention of working with one specific person, this information was nonetheless helpful.

@AM61 I was in a similar position to you last year. I've included a link to a thread that I started last year which might prove helpful to you. It's certainly a difficult decision to make, and I'd be happy to answer any additional questions.

It is interesting because given the description that I cited of the various fields, I would definitely have thought that operations research rather than statistics would be the more obvious fit for my own research interests: My background has been heavier in pure math than in computer science or applied math, and my primary interest--although I am trying to remain somewhat flexible on this point--is in topics that lie at the intersection of statistics and finance. Thus, I looked at the programs to which I'd been accepted and the opportunities that each provided for me to do research in statistics that would also be relevant to finance in particular, and it seemed that while operations research and areas like stochastic calculus are mathematically rich and pertinent to mathematical finance, more promise was held (for both academic inquiry and for industrial applications) by some of the newer methods and tools being devised in statistics and machine learning. Moreover, given my predisposition to finance, I looked at how closely aligned each school's statistics program was with its business school (through shared classes, dual appointments, presence of faculty on dissertation committees, etc.) as well as the quality of the business school. After accounting for the strength of research fit, I also made by decision based on the location of the school, the funding package and related responsibilities, and the structure of the program (e.g., the number of required classes, size of the program, and accessibility of professors). Anyway, I am not sure whether any of this information is helpful in your case, but right or wrong, that was my thought process. (It was without a doubt one of the tougher decisions that I have had to make in my academic career thus far. I am sure given the quality of the programs in question that you've worked very hard to have these opportunities, and you want to ensure that you are making the best decision to both reap the benefits of your work to this point and set you up for future success, so it is certainly a difficult decision to make.)

Although I did not apply to any of the schools that you mention (or to Cornell either, for that matter), I also had to choose between operations research and statistics and found the following description on Cornell's statistics PhD website to be helpful: Choosing a Field of Study There are many graduate fields of study at Cornell University. The best choice of graduate field in which to pursue a degree depends on your major interests. Statistics is a subject that lies at the interface of theory, applications, and computing. Statisticians must therefore possess a broad spectrum of skills, including expertise in statistical theory, study design, data analysis, probability, computing, and mathematics. Statisticians must also be expert communicators, with the ability to formulate complex research questions in appropriate statistical terms, explain statistical concepts and methods to their collaborators, and assist them in properly communicating their results. If the study of statistics is your major interest then you should seriously consider applying to the Field of Statistics. There are also several related fields that may fit even better with your interests and career goals. For example, if you are mainly interested in mathematics and computation as they relate to modeling genetics and other biological processes (e.g, protein structure and function, computational neuroscience, biomechanics, population genetics, high throughput genetic scanning), you might consider the Field of Computational Biology. You may wish to consider applying to the Field of Electrical and Computer Engineering if you are interested in the applications of probability and statistics to signal processing, data compression, information theory, and image processing. Those with a background in the social sciences might wish to consider the Field of Industrial and Labor Relations with a major or minor in the subject of Economic and Social Statistics. Strong interest and training in mathematics or probability might lead you to choose the Field of Mathematics. Lastly, if you have a strong mathematics background and an interest in general problem-solving techniques (e.g., optimization and simulation) or applied stochastic processes (e.g., mathematical finance, queuing theory, traffic theory, and inventory theory) you should consider the Field of Operations Research.

Thanks for the astute observation and encouragement, @Bayesian1701, and for the additional information and comments, @Stat PhD Now Postdoc. I guess now that I have basically all the information that I need to make my decision, I just wanted to make sure that my reasoning made sense. You have all been very helpful through the whole process, and thanks again for all the insights!

Thanks for the clarification, @Stat PhD Now Postdoc. It just seemed that there are fewer academic and industry job prospects, as well as less interest in general among the students with whom I have met, when it comes to applied probability and stochastic processes, and some of the developments in other areas of statistics seem more promising, and I want to keep some options open since I have not committed to doing research in a particular area and had only picked schools initially that fit the type of research and projects that I had done up to this point, which were more in the applied probability vein. I am, however, mainly interested in developing statistical methodology with a focus on applications to finance where possible. (That is why UT Austin was particularly intriguing to me since the university excels in finance, and a few of the professors in the statistics department have dual appointments in the finance department or collaborate therewith to develop methodology for financial data analysis in particular.)

I had posted this question as a follow-up to a previous post that I made about Texas PhD programs specifically, but it likely deserved its own post. I have now concluded my visits to all the schools to which I was admitted, and I have narrowed down my choices to UT Austin, NCSU, UNC-STOR, and TAMU. Assuming that the funding is relatively equal after accounting for the cost of living, that the surrounding environment itself is relatively inconsequential to one’s quality of life, and that one works with a top professor within the given department, would choosing any one of these programs over the others provide better opportunities for the future, especially as regards the obtainment of academic jobs after graduation? Some of my thoughts are as follows: I really like the small size and research focus of UT Austin, but given its newness, it is hard to tell what kind of program it will ultimately turn out to be, whereas NCSU and TAMU, though larger--with NCSU being considerably larger--are already established as top statistics departments and UNC-STOR's focus on applied probability and theoretical statistics appeals to my mathematical inclinations--yet in talking with certain professors, I got the sense that these theoretical subjects are not as favored as others these days within the statistics community and of course, as compared with the others, UNC-STOR does not really offer the opportunity to do research in Bayesian statistics, at least not in the department proper. Any further insights into what might distinguish these programs from one another are greatly appreciated.

True, sorry, I did not see that you had never taken a probability class. I like Resnick's book, but it's probably too mathematical and not as helpful without some prior background in probability. At Duke, it seems that Resnick's book is used in the first semester for their probability requirement, and that is the reason that I picked it up. UT Austin doesn't formally require probability theory, but otherwise their program is similar to Duke's, so I am choosing to use my time before starting my PhD studies in the fall to learn some more probability on my own.

I don't know whether it's the best, but I recently picked up Resnick's A Probability Path and find its presentation to be very lucid. Here is a link to its table of contents: https://d-nb.info/955671957/04. If you are looking for a more mathematical book that deals with abstract measure theory, this book might not be what you need, however, since it is geared toward graduate students in statistics, applied probability, biology, operations research, mathematical finance and engineering, rather than in pure mathematics.

Thanks, everyone, for the opinions and insights. It will be difficult to make a decision, so if I could add just one final question here, I would appreciate any further feedback. Right now, I have narrowed down my choices to UT Austin, NCSU, UNC-STOR, and TAMU. Assuming that the funding is relatively equal given the cost of living, would choosing any one of these programs over the others provide better opportunities for the future, especially for academic jobs? I really like the small size and research focus of UT Austin, but given its newness, it is hard to tell what kind of program it will ultimately turn out to be, whereas NCSU and TAMU, though larger--with NCSU being considerably larger--are already established as top statistics departments and UNC-STOR's focus on applied probability and theoretical statistics appeals to my mathematical sensibilities--yet perhaps these subjects are not as favored as others these days. (I know that the original topic was strictly about Texas programs, but I do not want to overlook other reputable programs. Nonetheless, all things being equal, I would still prefer to live in Texas!)

From what I gathered, the biostat and stat departments at UNC are now relatively distinct, although it seems that in the past, on the basis of certain comments from professors, the two were more collaborative. The UNC STOR department also appears to have closer connections with Duke than with NCSU. Perhaps this situation is due to Duke being a bit closer geographically and easily reachable by bus, to NCSU being so large that it doesn't really need to associate with anyone else, and to Duke and UNC STOR having somewhat complementary programs (with Duke focusing on Bayesian and computational methods and UNC STOR focusing on probability and stochastic processes).

From my impressions so far, comparing NC State and UNC-STOR, the initial sequence is more rigorous at UNC-STOR than at NC State, but NC State seems more flexible, allowing students to take the qualifying exam before starting, so that perhaps for a well-prepared student, there is no real difference in rigor between the two. @Stat PhD Now Postdoc Do you really see much of a difference between UNC-STOR and NC State when it comes to rankings and prestige? NC State's placement data do not appear readily available, but UNC-STOR seems to have some good placements of late, and the difference in ranking seems minimal, at least as far as the USNWR is concerned, with UNC-STOR moving up in position over the past few iterations as well. Also, @StatNerd100, if you don't mind sharing, did you apply for a fellowship at NC State, or did they just award you one?

@SkyHighway Were you accepted into the PhD program in SDS or in McCombs at UT Austin?