A Sequential Testing Procedure for Outliers and Structural Change

In this paper a test for outliers based on externally studentized residuals is shown to be related to a test for predictive failure. The relationships between a test for outliers, a test for a correlated mean shift and a test for an intercept shift are developed. A sequential testing procedure for o...

Full description

Saved in:
Bibliographic Details
Main Authors: McAleer, Michael, TSE, Yiu Kuen
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 1988
Subjects:
Online Access:https://ink.library.smu.edu.sg/soe_research/357
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Singapore Management University
Language: English
Description
Summary:In this paper a test for outliers based on externally studentized residuals is shown to be related to a test for predictive failure. The relationships between a test for outliers, a test for a correlated mean shift and a test for an intercept shift are developed. A sequential testing procedure for outliers and structural change is shown to be independent, so that the overall size of the joint test can be determined exactly. It is established that a joint test for outliers and constancy of variances cannot be performed.