Testing for trend in the presence of autoregressive error

• 成果类型: Article
• 署名作者: Roy, A; Falk, B; Fuller, WA
• 署名单位: University System of Maryland; University of Maryland Baltimore County; Iowa State University
• 刊物名称: JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
• ISSN/ISSBN: 0162-1459
• DOI: 10.1198/016214504000000520
• 发表日期: 2004
• 页码: 1082-1091
• 关键词: median-unbiased estimation; macroeconomic time-series; random-walks; unit-root; models

摘要

A popular model for assessing dependence on time is the time series model composed of a linear trend plus a zero mean autoregressive (AR) process. Although considerable effort has been devoted developing tests for linear trend in the presence of serial correlation, the testing procedures used in practice are less than satisfactory for portions of the parameter space for the AR coefficient. This is because the variance of the feasible generalized least squares (FGLS) estimator of the trend coefficient is heavily dependent on the parameters of the AR process. A test based on the Gauss-Newton procedure is shown to have more uniform behavior over the parameter space than tests based on FGLS. The test based on Gauss-Newton procedure also has good power.