Rahman, Mohammad Mahbubur (1997) *Central limit theorem for some classes of dynamical systems.* Masters thesis, Concordia University.

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## Abstract

We consider a transformation T of the unit interval (0, 1) into itself which is piecewise $C\sp2$ and expanding. Using the spectral decomposition of the Frobenius-Perron operator of T, we give a proof of the Central Limit Theorem for$$\left({1\over n}\right)\sum\sbsp{i=0}{n-1}f\circ T\sp{i},$$where 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 ${1\over\sqrt n}.$

Divisions: | Concordia University > Faculty of Arts and Science > Mathematics and Statistics |
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Item Type: | Thesis (Masters) |

Authors: | Rahman, Mohammad Mahbubur |

Pagination: | v, 71 leaves ; 29 cm. |

Institution: | Concordia University |

Degree Name: | Theses (M.Sc.) |

Program: | Mathematics and Statistics |

Date: | 1997 |

Thesis Supervisor(s): | Gora, Pawel |

ID Code: | 236 |

Deposited By: | Concordia University Libraries |

Deposited On: | 27 Aug 2009 13:10 |

Last Modified: | 08 Dec 2010 10:13 |

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