New posts in probability-theory

A sequence of random variables that does not converge in probability.

Justifying existence of dependent variables $X,Y$ with $P(X = x_i \cap Y = y_j) = \delta_{ij}p_i$

If $\tau$ is a stopping time with $\text P[\tau>s+t]=\text P[\tau>s]\text P[\tau>t]$, how do we determine the rate of the exponential distribution?

Compound Distribution — Normal Distribution with Log Normally Distributed Variance

How to find characteristic function of product of random variables

Showing that $X\sim E[X\mid\mathcal{G}]$ implies $X=E[X\mid\mathcal{G}]$ almost surely

If $X$ and $Y$ are independent. How about $X^2$ and $Y$? And how about $f(X)$ and $g(Y)$? [duplicate]

Probability of rolling the first 6 on an even throw?

"Converse" of optional stopping theorem

Upsetting inequality (à la Cauchy-Schwarz?)

A uniformly bounded local martingale is a martingale

Convergence of series in probability to 1 implies convergence of pointwise max over $n$ in probability to 0

Show that $\sum_{n=1}^{\infty}X_n<\infty$ almost surely if and only if $\sum_{n=1}^{\infty}\mathbb E[\frac{X_n}{1+X_n}]<\infty$.

About the Wasserstein "metric"

Right continuous version of a martingale

Distribution of $\max(X_i)\mid\min(X_i)$ when $X_i$ are i.i.d uniform random variables

Showing a Borel-Cantelli-esque result for not necessarily independent random variables

Oksendal SDEs: What does he want from Exercise 2.1?

At time n, randomly choose a natural number ≤n. How long is it until a single number is chosen three times?

Showing $\cos(t^2)$ is not a Characteristic Function