Reputation
600
Next privilege 1,000 Rep.
Create new tags
Badges
3 8
Newest
 Revival
Impact
~45k people reached

  • 0 posts edited
  • 0 helpful flags
  • 129 votes cast
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]<x, the value of the given integral has to be less than 1.
Jan
15
comment Range of a for $\int_{0}^{1} e^{x^2}(2x-a)dx$ = 0
Mathematica says D is the answer
Dec
2
comment Show $\lim_{n \to \infty} n^{-1} E \left( \frac{1}{X}1_{[X>n^{-1}]} \right) =0$
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<a?
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.
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<x_n for infinitely many n. For example, a=2. So by your statement lim x_n does not exist.
Sep
24
comment Proof of $\sigma^2\geq (\mu-m)^2$ without resorting to Jensen's or Chebychev's inequality.
Can you pls explain why is P[X<=m]>=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.