26.04.2024, 15:00
– 2.09.0.14
Forschungsseminar: Gruppen und Operatoralgebren
Properties of affine cellular algebras
Christian Lomp (University of Porto)
Linda Khachatryan (Yerevan, Armenia)
We introduce sufficiently wide classes of non-linear functionals preserving normal (Gaussian) distribution and establish various conditions under which a sequence of such functionals is asymptotically normal.
As a consequence, we obtain a generalization and sharpening of known results on the central limit theorem for weighted sums (linear functionals) of independent random variables.