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Yalikesifulei's user avatar
Yalikesifulei's user avatar
Yalikesifulei
  • Member for 6 years, 3 months
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9 votes
Accepted

Why does the result of the Gamma Function used infinite times on itself converge to 1 for $x \in [1,2]$?

7 votes

Can we write square roots in a fraction separately? eg, $\sqrt{\frac{9-x^2}{x-2}}$ vs $\frac{\sqrt{9-x^2}}{\sqrt{x-2}}$

7 votes

Can the integral be found without Feynman’s trick?

6 votes

What does this particular bessel with a superscript and ordered pair mean?

6 votes
Accepted

Evaluating $\int_0^\infty \frac{e^{-tx^2}-e^{-x^2}}{x}dx$

5 votes
Accepted

How to find $\|A\|\ $?

5 votes
Accepted

Does linear combination of i.i.d. variables being normal implies normality of original distribution?

5 votes
Accepted

High probability concentration bound for norm of multivariate normal distribution

5 votes

Number of zeros of $f(x)= \frac{1}{2} E\left[ \tanh \left( \frac{x+Z}{2} \right) \right]-\tanh(x)+\frac{x}{2}$ where $Z$ is standard normal

4 votes

limit of $\sum_{j=1}^{n-1}a_j\frac{1}{n-j}$ as $n\to \infty$

4 votes
Accepted

Let $f(x,y,z)=e^{-x-y-z},x>0,y>0,z>0$, and $=0$ otherwise, be the joint PDF of $(X,Y,Z)$. Compute $P(X=Y<Z)$.

4 votes
Accepted

Demonstration with Itô's lemma

3 votes
Accepted

What is the necessary condition on $f$ such that the DE $dy/dx=f(y)$ has a solution?

3 votes

Let $X$, $Y$ are dependent, are $X+\epsilon_1$ $Y+\epsilon_2$ Independent? Uncorrelated?

3 votes

Parameterizing the parabola $9x^2 +y^2-6xy+4x-4y+1=0$

3 votes
Accepted

Can one differentiate the Dirac delta?

3 votes
Accepted

Independence of function of random varibles

3 votes

Random variable function is random variable?

2 votes
Accepted

What is the probability $P(Y \leq X^2)$ given that $X$ and $Y$ are i.i.d. and uniformly distributed?

2 votes

What is the integral of this function over the interval [-1, 1]?

2 votes
Accepted

What do the following symbols mean in this paper?

2 votes

Solve Fredholm equation

2 votes

Solution of the Integral equation $ y(x)= f(x) + \int_{0}^x \sin(x-t)y(t) dt $

2 votes

Relationship Between a Parabola and the Normal Distribution

2 votes
Accepted

How to solve the following Poisson equation?

2 votes
Accepted

Consider the recursively defined sequence $x_{1} =0$ $x_{2n} =x_{2n-1}/2$ and $x_{2n+1}=(1/2) + x_{2n}$

2 votes
Accepted

In $\sum_{i=1}^n a_i X_i+b$, is the $b$ added to each $a_iX_i$ term, or is it added to the sum of those terms?

2 votes

Simulating difference equation

2 votes

Inner product on space of functions from $R^n \rightarrow R^m$?

2 votes

What Type of Differential Equation is $ \frac{dy}{dx} = \frac{1}{x(x-y)} $?