New posts in probability-theory

Uniformly integrable local martingale

Let (X,Y) have a Dirichlet Distribution with paramters $(\alpha_1, \alpha_2, \alpha_3)$ Establish that X~Beta$(\alpha_1, \alpha_2 + \alpha_3)$ [closed]

Are two random vectors independent, iff every pair of components from each vector are independent?

About a domain of random variable $S_n=X_1+X_2+...+X_n$

IID Random Variables that are not constant can't converge almost surely

If $X$ is a Lévy process, why is $t\mapsto\sum_{\substack{s\in[0,\:t]\\\Delta X_s(\omega)}}1_B(\Delta X_s(\omega))$ càdlàg?

Convolution of 2 uniform random variables

Generating the Borel $\sigma$-algebra on $C([0,1])$

Show that the total variation distance of probability measures $\mu,\nu$ is equal to $\frac{1}{2}\sup_f\left|\int f\:{\rm d}(\nu-\mu)\right|$

Does finite variance imply on a finite mean?

How can we apply the Borel-Cantelli lemma here?

Expected Value of R squared

Is the estimator $\hat{r} = \frac{\overline{X}}{1-\overline{X}}$ consistent?

Haar's theorem for the rotation-invariant distribution on the sphere

Interpretation of stopping time sigma algebra (as explained in Durret)

Two Gaussian processes with same variances and means but different covariances.

Measurability of supremum over measurable set

A reference for a Gaussian inequality ($\mathbb{E} \max_i X_i$)

Proving that the natural filtration of Brownian motion (not augmented) is not right-continuous

martingale and filtration