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BGM
  • Member for 6 years, 8 months
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  • HONG KONG
12 votes

The Marginal Distribution of a Multinomial

9 votes
Accepted

If X, Y, Z are independent random variables, then X + Y, Z are independent random variables.

9 votes
Accepted

Conditional distribution of subvector of a Dirichlet random variable

8 votes
Accepted

Probability that a stick randomly broken in three places can form a triangle

7 votes
Accepted

Probability of a Gamma r.v. greater than another.

6 votes
Accepted

Convolution of Gaussian and error function

5 votes

Density of Gaussian Random variable conditioned on sum

4 votes
Accepted

Probability that sum of $3$ real numbers less than $2$, where each of them lies in $\left( 0,2 \right)$ .

4 votes
Accepted

Conditional Expectation of Increasing Function

4 votes
Accepted

how to prove that ${S_N\over E[S_N]}$ converges to an exponential distribution

3 votes
Accepted

Approximating one random variable by a function of other random variables

3 votes

Alternative distribution to exponential distribution (negative power distribution)?

3 votes
Accepted

Show that $(\frac{S_1}{S_n+1},\frac{S_2}{S_n+1},...\frac{S_n}{S_n+1})=_d (U_{(1)},U_{(2)},...,U_{(n)})$.

3 votes

Is the sum of random variables X and X 2X?

3 votes

Probability of selecting specific balls from an urn?

3 votes

Conditional density for $X$ given $X+Y=Z$

3 votes
Accepted

Convergence of Random Vector to Gaussian Process in Distribution

3 votes
Accepted

Does $(\bar X-\mu_X)/\hat{\theta}$ approach $N(0,1)$ in distribution for any unbiased estimator $\hat{\theta}^2$ of $\sigma_{X}^2/n$?

3 votes

The Hazard Function: derivation and assumptions of random variable

3 votes
Accepted

Why $|X_n|$ is a product of some i.i.d. random variables $U_1,...,U_n$?

3 votes
Accepted

Conditional Expectation of the minimum of two identical log-normal distributions

3 votes

Expected value of $x^t\Sigma x$ for multivariate normal distribution $N(0,\Sigma)$

3 votes
Accepted

Relationship Between $\mathbb{E}$(time) and $\mathbb{E}$(Repetition)

3 votes

Determining the values a random variable takes

3 votes

You cast a pair of dice. If you get a 6 and an 8 before 7 comes up twice, you win. What is the probability of winning?

3 votes
Accepted

Moment generating function help

3 votes
Accepted

Find a bound to the mean of a sum of Bernoulli variables

3 votes

Linear transform of jointly distributed exponential random variables, how to identify domain?

3 votes
Accepted

What is the distribution of $X\vert Y$ where $Y$ is Bernoulli R.V?

3 votes
Accepted

Optimal times of Rolls to get exactly 2 six

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