[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5351/CKSS.2009.16.1.157

The Uniform Law of Large Numbers for the Baker Transformation

Bae, Jong-Sig (Dept. of Mathematics, SungKyunKwan Univ.)
Hwang, Chang-Ha (Div. of Information and Computer Science, Dankook Univ.)
Shim, Joo-Yong (Dept. of Applied Statistics, Catholic Univ. of Daegu)

Publication Information

Communications for Statistical Applications and Methods / v.16, no.1, 2009 , pp. 157-162 More about this Journal

Abstract

The baker transformation is an ergodic transformation defined on the half open unit square. This paper considers the limiting behavior of the partial sum process of a martingale sequence constructed from the baker transformation. We get the uniform law of large numbers for the baker transformation.

Keywords

Baker transformation; law of large numbers; uniform law of large numbers; martingales;

Citations & Related Records

Reference

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