On samples of independent random vectors in spaces of infinitely increasing dimension

• Date: 1998
• Main Authors: Ruzhilo, M. Ya, Stepakhno, V. I., Ружило, М. Я., Степахно, В. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4791
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the asymptotic behavior of a set of random vectors ξi, i = 1,..., m, whose coordinates are independent and identically distributed in a space of infinitely increasing dimension. We investigate the asymptotics of the distribution of the random vectors, the consistency of the sets M m (n) =...