Jul
29
comment Is it true that the process is a Poisson Process
It is a compound poisson with jump intensity a and jump measure is a delta measure on 2.
Jul
26
comment Find whether the following series converges or diverges $\sum_{n=1}^{\infty}\frac{\ln n }{\sqrt{n}}$
Please do not make massive changes to original question to make what were right answers appear off topic.
Jul
24
comment Upper bounding a Poisson Process with indicators of exponentials
$\mathcal{E}\sim\exp(\lambda)$? <- doesn't meant $N$ no longer takes integer values.?
Jul
24
comment Ergodic properties of orthogonal group $O(n)$
Please consider accepting some answers for the 104 questions you asked.
Jul
24
comment Evaluating $\int^b_a \frac{dx}{x}$ from the definition of the integral
What I do not understand is, what is a Harmonic number when $bn/(b-a)$?
Jul
24
comment Why left multiplication when it comes to Markov chains?
Because $P_{12}$ is prob from state 1 to 2, not vice versa
Jul
23
comment quasi-convexity of a function
oh wait, sorry, i was being stupid
Jul
23
comment quasi-convexity of a function
How do you define quasi convexity on a spherical shell? Following the definition of quasiconvexity $\lambda x+(1-\lambda)y$ is not necessarily in the domain you described.
Jul
23
comment Expected number of changes of serves in a game of raquetball
@ian i was lazy but should have spotted the 0.1428 to be honest...
Jul
23
comment Expected number of changes of serves in a game of raquetball
@orio1909 because the Markov Chain is aperiodic and recurrent, so it will always converge to its stationary distribution.
Jul
22
comment What did I do wrong when using Jacobian transformation
Can you please write out how you did the transformation? This is bog standard.
Jul
22
comment Trace of power of stochastic matrix
@pisoir so what are you trying to show?
Jul
22
comment Trace of power of stochastic matrix
you are essentially asking how does the overall probability that a state remains where it is in 1 move compare with a state remains where it is in 2 moves...
Jul
22
comment Trace of power of stochastic matrix
nevertheless, it is still false, change the $0$ to a small $\epsilon$.
Jul
22
comment Asymptotics of sum of binomial distributions
+1, thanks again.
Jul
22
comment Expectation related to Normal distribution and its density
I seem to get this to be true only when $\sigma< 1$... and that might sense somewhat.
Jul
22
comment Expectation related to Normal distribution and its density
You were probably too wasteful throwing away the $\Phi$ term.
Jul
21
comment The mathematical odds of winning a hand in poker with two boards
Nevertheless I actually don't think ^ matters much. The losing player has a better chance of keeping the money (so does the winning player).
Jul
21
comment The mathematical odds of winning a hand in poker with two boards
This would surely also depend on many more things: on how many overcards does the player with a flush draw have? whether the player with the pair is holding one of the outs for the flush? Was the pair a pocket pair? etc. You should give a specific combination of cards, then I am happy to calculate these for you.
Jul
21
comment Determine the law of $F^{-1}(U)$, $U$ uniformly distributed on $[0,1]$
oh which university do you attend, just out of curiosity?