4 problems

0 votes0 replies0 views
Eaton's conjecture on the parameter set of the real gamma distribution
A multivariate real gamma distribution is considered with parameter $A$ a positive real number and a $k\times k$ real symmetric positive definite matrix $B$ . Eaton's conjecture. Al…
Conjectureopenmultivariate-distributions probability-theoryarXiv posted 2 days ago
0 votes0 replies0 views
Dimension-independent polynomial dependence conjecture for random-point discrepancy
For distributions $\mathbf{p},\mathbf{q}$ on $\mathbb{R}^d$ and an axis-aligned rectangle $R\subset\mathbb{R}^d$ satisfying … let $x,y$ be sampled from the distribution…
Conjectureopendistribution-testing multivariate-distributions ramsey-theoryarXiv posted 2 days ago
0 votes0 replies0 views
Genton–Loperfido characteristic-function conjecture for generalized skew-elliptical distributions
Genton–Loperfido's conjecture. The characteristic function of a generalized skew-elliptical distribution, or of a subclass of generalized skew-elliptical distributions, has the for…
Conjectureopencharacteristic-functions multivariate-distributions skew-elliptical-distributionsarXiv posted 2 days ago
0 votes0 replies0 views
Conjecture on analogous behavior in other multivariate models
The paper studies upper order statistics of the Lévy-frailty Marshall–Olkin distribution and establishes asymptotic behavior for these statistics under assumptions on the Lévy subo…
Conjectureopenlimit-theorems multivariate-distributions probability-theoryarXiv posted 2 days ago

4 problems

Eaton's conjecture on the parameter set of the real gamma distribution

Dimension-independent polynomial dependence conjecture for random-point discrepancy

Genton–Loperfido characteristic-function conjecture for generalized skew-elliptical distributions

Conjecture on analogous behavior in other multivariate models