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PDF Editor FAQ
What is a good book of exercises for mathematical statistics or probability theory?
Depends on the level you are looking for.Elementary probability and statistics (finite sample spaces): https://people.eecs.berkeley.edu/~daw/teaching/cs70-f03/Notes/lenstra.pdfSerious statistics: the best source I know is in Russian, but Google Translate does a decent job translating 1–2 pages at a time, and you can compare to the original PDF for the correct mathematical notation: http://www.lancaster.ac.uk/staff/korshuno/teaching/ExerciseStatistics2.pdfOrder statistics: an excellent book is Order StatisticsI haven’t worked with this book, but it might fit your goals: Records via Probability TheoryBasic stochastic processes: Probability TheoryStochastic processes in the context of finance: From Stochastic Calculus to Mathematical Finance
How was your FPM 2018 interview experience at IIM?
I will be writing strictly, according to the information related to RAT & Interview process as most of other useful information is already being answered or can be found easily.IIM: UdaipurProgram: Finance and AccountingFirst Round:RAT (3 Sections, 2 Parts)PART 1:Section 1: MathsRoots of equationMinima & MaximaIntegrationSection 2: Probability and StatisticsCLTPDFSection 3: FinancePortfolio managementPART 2:Research Paper AnalysisSecond Round:Personal InterviewThe process was unpleasant, had to wait long for my turn.Finally! My name was announced and I started walking towards the interview room.My activeness soon turned into anxiety and I stared getting bit nervous.There were 7 panelist in the room including one women.Starting with greeting! Good evening,P0: Tell me something about Yourself?Me: Belong to XX, geographically located XX,P0: Interrupted! Start with educationMe: Currently I am a student at X, pursuing my X, told about the course structure.P1: Whats your research Interest?Me: Answeredsituation: Everybody got exited and pointed at one of the panelist.I realized he is a professor of the respective field and I am now screwed.P2: What is Lemmatisation?Me: No idea sir.P2: What is Dependency Parsing?Me: No idea sir.P2: What is a Neural Network? What happens inside a Neuron?Me: Explained something.P2: How we do sentiment Analysis?Me: ExplainedP3: What is Term Frequency? Asked with an Example?Me: Explained with exampleP3: Asked about NLTK and Python?Me: ExplainedP3: Asked why FPM? But the question was lost inside some noise of other panelist, and another panelist overridden the question with is own.P4: Can you solve any of these questions?Aura: Some questions were written on board and we were not allowed to use any pen or paper and have to do my mind.Me: Answered one. They knew I was a bit nervous as I wasn’t able to select any questions out of given once’s and one of them helped me to select.A panelist suddenly this is FPM!Me: Acknowledging him confidently, I do realize sir.P4: Any other?Me: I can try second one. Took some time but couldn’t answer in time as it was an integration question.P4: You studied all this! right?Me: Yes sir, but my current work and courses are far away from the all these things.This was it!All the panelist asked each other weather they want to ask something and everyone nodded with a NO.I left the room!
What are the requisite subjects required for learning statistics (e.g., calculus)?
In the simplest sense, you can start out statistics as soon as elementary school. And you actually probably did. Things like mean, median, mode, you probably learned them before 6th grade. Simple probabilities like the chance of rolling an even number on a 6-sided die, or the change of drawing a black queen in a deck of 52 playing cards, you also probably learned in elementary or middle school. Linear regression models you can learn once you know about linear equations from algebra. Same goes for power, log, quadratic, and other regression schemes. Statistical inference only requires some basic algebra and the ability to read table/use a calculator. That’s the extent of a high school statistics class, at least in the mathematical sense. There’s also experiment design, sampling techniques, stuff like that, but they are more logical and definition based topics that don’t require any prerequisites.However, to fully understand the kinds of things going on in statistical inference, particularly the PDF, PMF, CDF relationships, and how to mathematically calculate the test statistics, you need some introductory calculus. When it comes to doing joint probability distributions, joint random variables, you will need multivariate calculus. This is about where college engineering statistics gets up to.For graduate level mathematical statistics, you need measure theory, since probability is defined as a measure. A consequence of that means understanding things like sigma-algebras, Lebesgue integration, filtration, etc. You should also have a strong basis in combinatorics and introductory (graduate level) real analysis. This material lays the foundations for stochastic calculus, stochastic differential equations, etc, all the main topics of mathematical finance and other highly random events.Probability and statistics can be as simple as finding the number that appears the most in a set, and as complicated as anyone can imagine, so it’s up to you to study what statistics you can learn now, and figure out the rest along the way.