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nejimban
  • Member for 9 years, 1 month
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7 votes
Accepted

Power functions and $\lim_{x \to +\infty}{\frac{\int_{0}^{x}{f(t)\mathrm{d}t}}{x f(x)}}=\frac{1}{1 + \beta}$

6 votes
Accepted

Prove a matrix has non-zero determinant

5 votes

How to justify interchange of summation and integral with $f_n(x)=x^2 \cos(2nx)/n$ on $[0, \pi/2]\times \mathbb{N}$?

5 votes
Accepted

Writing a random variable as the sum of independent random variables

4 votes
Accepted

Is soft-O notation transitive?

4 votes
Accepted

What is $P(X+Y>0 \mid X>0)$ given that $X,Y$ two different normal?

4 votes

Is this true ?If $x_n \to 0$,then $n(x_{n+1} - x_{n}) \to 0$

4 votes

A determinantal inequality

4 votes
Accepted

The rate at which the expectation of the square of the empirical median of i.i.d. $[-1,1]$-valued uniform random variables goes to zero

4 votes
Accepted

Aproximating difference equation by differential equation

4 votes
Accepted

Limit and Sequence

4 votes
Accepted

Submartingale bounded in $L^2$ converges in $L^2$.

4 votes
Accepted

Uniform convergence and exchanging limit and integral

4 votes

Calculate the integral: $\int_0^{\pi/4} \tan^5(y/2)dy$

4 votes
Accepted

Prove the limit of this Lebesgue integral in connection with gamma function

4 votes
Accepted

If $f_n\to f$ in measure, then $f_ng\to fg$ in measure?

4 votes
Accepted

Why would $\mathbb P( S > x \lvert \mathcal{F}_{0})= \frac{X_{0}}{x}\land 1$ imply that $S$ is distributed under $\mathcal F_{0}$ as $X_{0}/U$

4 votes
Accepted

Convergence of Integrals implies almost everywhere convergence of functions

3 votes
Accepted

Showing that a stopping time is finite for a biased random walk.

3 votes

Showing that a martingale $Y_k$ does not converge almost surely.

3 votes
Accepted

Inequality related to standard normal distribution function

3 votes
Accepted

Is the space of probability measures on a compact set is compact w.r.t Wasserstein metric?

3 votes

PDF of $\frac{\min(X,Y)}{\max(X,Y)}$ when $X$ and $Y$ are iid Exponential with parameter $\lambda$

3 votes

Clarification on convergence in distribution $\implies$ convergence in probability requiring a constant probability space

3 votes
Accepted

Proof $f:\frac{(\ln(\frac{\pi}{2x}))^\gamma}{(\cos x)^\beta (\sin x)^\alpha}$ is Lebesgue integrable.

3 votes

Is there any shortcut trick to evaluate $\int (xe^{x})^{n}dx$ where $n$ is a positive integer?

3 votes

Not sure how to apply generating functions

3 votes
Accepted

Infinite summation converges or not

3 votes

Prove: $P(X>a)\ge\frac{(1-a)^2}{b}$ for every $0<a<1$

3 votes

If $E|X_i|^{2}\rightarrow0$, $\frac{S_n}{n}\xrightarrow{p}0$ is not always true.

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