@misc{Khachatryan_L._A._On, author={Khachatryan, L. A.}, address={Երևան}, howpublished={online}, publisher={Հայաստանի ԳԱԱ}, abstract={The purpose of this note is to recall one remarkable theorem of Khinchin about the special role of the Gaussian distribution. This theorem allows us to give a new interpretation of the Lindeberg condition: it guarantees the uniform integrability of the squares of normed sums of random variables and, thus, the passage to the limit under the expectation sign. The latter provides a simple proof of the central limit theorem for independent random variables.}, title={On Khinchin’s theorem about the special role of the Gaussian distribution}, type={Հոդված}, keywords={Mathematics}, }