01.02.2023, 14:15 Uhr
– Raum 2.09.2.22 und Zoom, Public Viewing im Raum 2.09.0.17
Dr. Siegfried Beckus (UP)
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.