Independent Linear Statistics on Finite Abelian Groups

• Date: 2001
• Main Authors: Graczyk, P., Fel'dman, G. M., Грачик, П., Фельдман, Г. М.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4266
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We give a complete description of the class of all finite Abelian groups X for which the independence of linear statistics L 1 = α1(ξ1) + α2(ξ2) + α3(ξ3) and L 2 = β1(ξ1) + β2(ξ2) + β3(ξ3) (here, ξ j , j = 1, 2, 3, are independent random variables with values in X and distributions μ j ; α j and β...