Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-30T21:41:25.652Z Has data issue: false hasContentIssue false
  • English
  • Français

A COUNTEREXAMPLE IN THE CENTRAL LIMIT THEOREM

Published online by Cambridge University Press:  01 March 1999

LIXIN SONG
LIXIN SONG
Affiliation:
Department of Mathematics, JiLin University, Changchun 130023, China
Get access

Abstract

We construct a c0-valued random variable X such that (Sn/√n)n∈ℕ has a convergent subsequence, but X does not satisfy the central limit theorem.

Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 2 , March 1999 , pp. 222 - 230
Copyright
© The London Mathematical Society 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)