New posts in random-variables

If $X,Y$ are independent and geometric, then $Z=\min(X,Y)$ is also geometric

probability-theory probability-distributions random-variables

When comparing MGFs why is $X+2Y \ne X+Y+Y$?

probability random-variables moment-generating-functions chi-squared

Proving $C_{X}=R_{X}-E\left(X\right)\left(E\left(X\right)\right)^{T}$ where $C_X,R_X$ are the Covariance matrix and Correlation matrix

probability random-variables expected-value

Show $\mathbb{E}\left[\left|\sum_{i=1}^n X_iY_i\right|\right] \leq 2\mathbb{E}\left[\left|\sum_{i=1}^n Y_i\right|\right]$

probability inequality random-variables

Two consecutive zeros in Poisson random variables, and consecutive wins in a binomial setting

probability probability-distributions random-variables poisson-distribution binomial-distribution

Questions on Kolmogorov Zero-One Law Proof in Williams

real-analysis probability-theory measure-theory random-variables independence

Domain vs Co-domain vs Support of a random variable

probability probability-theory measure-theory probability-distributions random-variables

Link between Poisson distribution and Exponential distribution

probability probability-distributions random-variables poisson-distribution exponential-distribution

Show that $P(X>t)\leq \frac{E(e^{cX})}{e^{ct}}$

probability random-variables expected-value

How dos a random variable $X$ is connected with the set over which is uniformly distributed?

probability probability-theory probability-distributions random-variables support-function

Distance between mean and median

probability-theory inequality random-variables median

Convergence in probability of the product of two random variables

probability-theory convergence-divergence random-variables

Question on the 'Hat check' problem

probability probability-theory random-variables expectation

Finding probability $P(X<Y)$

probability statistics probability-theory random-variables

Expected Value of Flips Until HT Consecutively

probability random-variables

Geometric Expectation problem?

discrete-mathematics probability-distributions random-variables

Show that the distribution of $X$ is like this:

probability probability-distributions random-variables variance

How to generate points uniformly distributed on the surface of an ellipsoid?

probability stochastic-processes random-variables analytic-geometry ellipsoids

If $X$ and $Y$ are independent $N(0,\sigma^2)$, then $X^2+Y^2$ and $X/Y$ are independent?

probability statistics probability-distributions random-variables independence

Expected absolute difference between two iid variables

real-analysis probability random-variables