Jongsig Bae, Changha Hwang, Doobae Jun Sungkyunkwan University, Dankook University, Gyeongsang National University
Abstract : This paper considers the asymptotic behaviors of the processesgenerated by the classical ergodic tent map that is defined on the unit interval. We develop a sequential empirical process and get the uniform version of law of iterated logarithm for the tent map by using the bracketing entropy method.
Keywords : tent map, sequential integral process, law of the iterated logarithm, uniform law of the iterated logarithm
