PeterR
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 Sep 3 comment Suggested book for self study. I really like the 4 volume series by Stein & Shakarchi. Fourier stuff, Complex Analysis, Measure theory, Functional analysis. But, your background will determine if they are suitable for self-study. Aug 14 comment Basic probability limit problem Since the mean=0, it exists, and is the integral of xg(x) over R. Now assume the limit doesnt hold...could the integral still be zero? May 28 comment Are upper division math courses textbook- or lecture-based? I view the teacher as a very experienced tour guide. They point out the interesting parts, explain the difficult parts, show what is important. But it is (always) up to you to do the work. May 26 comment Show Wright-Fisher Model is a martingale Been there, done that. Glad it helped. May 26 comment Show Wright-Fisher Model is a martingale wouldn't that just be a binomial distribution? and what is the mean of a binomial distribution? (Note I am asking - i could be wrong) Jan 17 comment What are some good books about martingales? Williams: Probability with Martingales Jun 7 awarded Necromancer Feb 13 comment Can the matrices $A$ and $I+A$ have the same determinant? do you know about eigenvalues & trace? Jan 23 comment Division of two random variables of uniform distributions Just to try out Mathematica's probability framework: D[Probability[ x/y <= z, {x [Distributed] UniformDistribution[{0, 1}], y [Distributed] UniformDistribution[{1, 3}]}], z] yields (for the pdf) 2 if z<1/3, (6-2z)/(4z)-(-z^2+6z-1)/(4z^2) if 1/3