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Testing for trends in correlated data

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Author Info
Sun, Hongguang
Pantula, Sastry G.
Abstract

The problem of testing for the significance of a linear trend in the presence of positively correlated errors is considered. Test criteria based on ordinary least squares, conditional maximum likelihood, estimated generalized least squares and maximum likelihood estimates tend to have higher significance levels than nominal levels for positively correlated series of moderate length. In this paper, we study three alternative methods: (a) pre-test, (b) bias-adjusted, and (c) bootstrap-based procedures. A simulation study is used to compare the empirical level and power of different procedures. An example is used to illustrate the procedures.

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Publisher Info
Article provided by Elsevier in its journal Statistics & Probability Letters.

Volume (Year): 41 (1999)
Issue (Month): 1 (January)
Pages: 87-95
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Handle: RePEc:eee:stapro:v:41:y:1999:i:1:p:87-95

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Keywords: Maximum likelihood Power Bootstrap;

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  1. Pierre Perron & Tomoyoshi Yabu, . "Estimating Deterministic Trends with an Integrated or Stationary Noise Component," Boston University - Department of Economics - Working Papers Series WP2006-012, Boston University - Department of Economics, revised Feb 2006. [Downloadable!]
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  2. Fabio Busetti & Andrew Harvey, 2007. "Testing for trend," Temi di discussione (Economic working papers) 614, Bank of Italy, Economic Research Department. [Downloadable!]
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  3. Paul Newbold & Stephan Pfaffenzeller & Anthony Rayner, 2005. "How well are long-run commodity price series characterized by trend components?," Journal of International Development, John Wiley & Sons, Ltd., vol. 17(4), pages 479-494. [Downloadable!]
  4. David I. Harvey, & Stephen J. Leybourne, & A. M. Robert Taylor, . "A simple, robust and powerful test of the trend hypothesis," Discussion Papers 06/01, University of Nottingham, Granger Centre for Time Series Econometrics. [Downloadable!]
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