This article is cited in 2 papers

Short Communications

On samples with identically distributed linear statistics

A. A. Zinger

Leningrad

Abstract: Necessary and sufficient conditions are given for the characterization of the normal law by the property that the distributions of two linear statistics of type (0) with equal maximal moduli of coefficients (condition (4)) coincide. This result supplements wellknown Yu. V. Linnik's characterization theorem (see [1], Theorem 1) under conditions on the coefficients opposite to mentioned above.

Received: 01.08.1974

 English version: Theory of Probability and its Applications, 1976, 20:3, 655–660

Bibliographic databases:

• 
•