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1h
answered Using partial derivates to solve for constant?
13h
revised How do I show $\lim_{x\to\infty}f(x) = \lim_{x\to\infty} f '(x)=0$ if $\lim_{x\to\infty}f '(x)^2 + f(x)^3 = 0$?
added 10 characters in body
14h
comment What is the general Ito formula for a function of two processes
Perhaps it would help if you would give a specific example of a problem... Are you interested in a case where $f(x)$ would not be a single-valued function, but would satisfy some SDE of its own?
14h
revised What is the general Ito formula for a function of two processes
edited body; edited tags
14h
comment What is the general Ito formula for a function of two processes
I don't understand ii if $X_t$ is some Ito processand $Y = f(X_t)$, then $Y$ is a usual kind of Ito process -- even in the simplest case of $f(x)=x$, $Y$ would have its own SDE, identical to $X$...
14h
comment How to show that $E(X^k)=npE((Y + 1)^{k-1})$ where $X\sim\mathrm{Bin}(n,p)$ and $Y \sim \mathrm{Bin}(n-1,p)$.
I still don't get it. So $Y \sim \mathcal{B}(n-1,p)$ but what is $X$?
14h
comment Trigonometric problem with two angles
People here do not like to do your homework for you. Show some work on the problem and we will be glad to help with hints.
14h
revised Trigonometric problem with two angles
added 12 characters in body
Jul
3
comment Find $\lim_{x\to\infty}\frac{f^{-1}(x)}{\ln(x)}$, where $f(x)=e^x+x^3-x^2+x$, without L'Hospital
@Lucas $$\lim_{x \to \infty} f^{-1}(x) = \infty$$ is equivalent to $$\lim_{x \to \infty} f(x) = \infty$$ (just take $f(\cdot)$ of both sides)
Jun
24
comment Almost sure convergence of $\max(X_1, X_2,\ldots,X_n)$.
you need almost sure convergence, i.e. $$ \mathbb{P}\left[ \lim_{n \to \infty} \max(X_1, \ldots, X_n) = a \right] = 1 $$
Jun
24
comment How can I count the number of $n$ digit positive integers without a specific digit?
@DemetriP :) lol...
Jun
24
revised How to evaluate $\frac{2^{f(\tan x)}-2^{f(\sin x)}}{x^{2}f(\sin x)}$ as $x \to 0$?
added 7 characters in body; edited title
Jun
24
answered How can I count the number of $n$ digit positive integers without a specific digit?
Jun
24
reviewed Approve Limit $(e^x+x)^{1/x}$, when $x\to 0$
Jun
24
comment Rearranging coordinate equation
@PaulCanning i did not understand, but if you impose additional conditions, it may be enough to determine your point exactly.
Jun
24
comment a Maximum of Discrete Function
you sure $a,b \in X$, not $\in \mathbb{R}$?
Jun
24
reviewed Approve Proof $x_n \to \inf (A)$
Jun
24
answered Rearranging coordinate equation
Jun
24
comment Why use stopping times rather than a deterministic sequence to localise a martingale?
@user3203476 not 100% sure, leaning yes. Perhaps you want to follow advice of muaddib above...
Jun
24
answered How to express a=8 versus b=4?