This article is cited in 5 papers

Short Communications

On an Exact Estimate for a Local Theorem

S. Kh. Sirazhdinov

Romanovskii Mathematical Institute, Academy of Sciences of UzSSR

Abstract: This paper deals with the convergence of the density function for the sum of identically distributed and appropriately normalized independent random variables in the metric $L_p(-\infty,+\infty)$, $p\geq1$, to the normal density function. An exact expression for the fundamental term of the remainder is given.

Received: 20.12.1959

 English version: Theory of Probability and its Applications, 1959, 4:2, 215–218