Estimation of Change-points in Linear and Nonlinear Time Series Models

主讲人

Shiqing Ling

简介

<p><span style="font-size: small;">&nbsp;<span style="font-family: 'Times New Roman', serif;">This paper first develops a general theory for estimating change-points in a general class of linear and nonlinear time series models. Based on a general objective function, it is shown that the estimated change-point converges weakly to the location of the maxima of a double-sided random walk and other estimated parameters are asymptotically normal. When the magnitude $d$ of changed parameters is small, it is shown that the limiting distribution can be approximated by the known distribution as in Yao (1987). This provides a channel to connect our results with those in Picard (1985) and Bai, Lumsdaine and Stock (1998), where the magnitude of changed parameters depends on the sample size $n$ and tends to zero as $n\to \infty$. We then focus on the self-weighted QMLE and the local QMLE of structure-change ARMA-GARCH/IGARCH models. The limiting distribution of the estimated change-point and its approximating distribution are obtained. Some simulation results are reported.</span></span></p> <pre style="background-position: initial initial; background-repeat: initial initial;"><span lang="EN-US" style="font-family: 'Times New Roman', serif;"><o:p></o:p></span></pre>

时间

2016-03-25(Friday)16:40-18:00

地点

N302, Econ Building

讲座语言

English

主办单位

SOE & WISE

承办单位

统计系

类型

系列讲座

联系人信息

主持人

Muyi Li

专题网站

专题

主讲人简介

<p><span style="font-size: small;"><span style="font-family: Arial;">&nbsp;<span lang="EN-US">Department of Mathematics, Hong Kong University of Science and&nbsp;</span>Technology, Hong Kong</span></span></p> <p><a href="/Upload/File/2016/3/20160311024110528.pdf">Upload/File/2016/3/20160311024110528.pdf</a></p>

期数

厦门大学高级计量经济学与统计学系列讲座2016春季学期第四讲(总第78讲)

主讲人: Shiqing Ling
主讲人简介:

 Department of Mathematics, Hong Kong University of Science and Technology, Hong Kong

Upload/File/2016/3/20160311024110528.pdf

主持人: Muyi Li
简介:
系列讲座
时间: 2016-03-25(Friday)16:40-18:00
地点: N302, Econ Building
期数: 厦门大学高级计量经济学与统计学系列讲座2016春季学期第四讲(总第78讲)
主办单位: SOE & WISE
承办单位: 统计系
类型: 系列讲座