Central Limit Theorem for some classes of dynamical systems

منو

" Central Limit Theorem for some classes of dynamical systems "
M. M. Rahman P. Gora

Document Type	:	Latin Dissertation
Language of Document	:	English
Record Number	:	1113347
Doc. No	:	TLpq304377294
Main Entry	:	M. M. Rahman
	:	P. Gora
Title & Author	:	Central Limit Theorem for some classes of dynamical systems\ M. M. RahmanP. Gora
College	:	Concordia University (Canada)
Date	:	1997
student score	:	1997
Degree	:	M.Sc.
Page No	:	71
Abstract	:	We consider a transformation T of the unit interval (0, 1) into itself which is piecewise usdC\sp2usd and expanding. Using the spectral decomposition of the Frobenius-Perron operator of T, we give a proof of the Central Limit Theorem forusdusd\left({1\over n}\right)\sum\sbsp{i=0}{n-1}f\circ T\sp{i},usdusdwhere f is a function of bounded variation. It is also shown that the speed of covergence in the Central Limit Theorem is of the order usd{1\over\sqrt n}.usd
Subject	:	Mathematics
	:	Pure sciences