PeterR
Reputation
610
Next privilege 1,000 Rep.
Create new tags
 Jul 20 comment CLT for independent, but non-identically distributed exponential variables Without actually grinding through it...since the rvs are exponential, you know their variance too....might it be easier to tackle it from that angle? Jul 15 comment Do two almost surely equal random variables necessarily have the same probability? Thanks for the explanation. Jul 15 comment Do two almost surely equal random variables necessarily have the same probability? Can you please explain why is P[X in B, X=Y] <= P[Y in B] ? Jul 2 comment Reference request for this topics Agree. Sheldon M. Ross "Stochastic processes" is a little more advanced. Jun 11 comment How do I show that $P(|X-Y|>1/n)=0 \forall n \in \mathbb{N}$ then $X=Y$ a.s What if X=Y+1/10? then P[X=Y] =0, but P[|X-Y|>1/2]=0 Jun 10 comment Which fields of math would I need to study to fully understand/solve the Riemann Hypothesis? start here: modular.math.washington.edu/rh Apr 28 comment $\lim\sum_{k=0}^{\lfloor\delta n\rfloor} \frac{n^k}{k!}e^{-n}$ and Poisson distribution Could you please explain what is M? Mar 19 comment Winning in roulette when betting on one number infinitely Probability distribution of what? Jan 20 comment Does $\int_0^\infty e^{-x}\sqrt{x}dx$ converge? If in the integral it were x, rather than Sqrt[x], the integral would be the mean of the exponential distribution with parameter 1, which is known to have value 1. You can easily do that with integration by parts. Then, since Sqrt[x]n^{-1}]} \right) =0$Suspect the key here is that P[X<∞]=1 Oct 8 comment$P(X_n < a$i.o. and$X_n > b$i.o.$) = 0$for all$a < b$implies that$lim_{n \rightarrow \infty} X_n$exists a.e. Now I'm happy! Thanks! Oct 8 comment$P(X_n < a$i.o. and$X_n > b$i.o.$) = 0$for all$a < b$implies that$lim_{n \rightarrow \infty} X_n$exists a.e. Should it be x_n_1 b$ i.o.$) = 0$ for all $a < b$ implies that $lim_{n \rightarrow \infty} X_n$ exists a.e. Not sure if I understand what you are saying here. Let x_n=7 for all n. So lim x_n=7. But there exists an 'a' in Q such that a=1/2? Sep 9 comment How do I differentiate polynomials If you dont like your text,try another one. Or en.wikipedia.org/wiki/Calculus#Differential_calculus to get started. 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.