Response surface models for the Leybourne unit root tests and lag order dependence

Jesús Otero, Jeremy Smith

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

This paper calculates response surface models for a large range of quantiles of the Leybourne (Oxf Bull Econ Stat 57:559-571, 1995) test for the null hypothesis of a unit root against the alternative of (trend) stationarity. The response surface models allow the estimation of critical values for different combinations of number of observations, T, and lag order in the test regressions, p, where the latter can be either specified by the user or optimally selected using a data-dependent procedure. The results indicate that the critical values depend on the method used to select the number of lags. An Excel spreadsheet is available to calculate the p-value associated with a test statistic.

Original languageEnglish (US)
Pages (from-to)473-486
Number of pages14
JournalComputational Statistics
Volume27
Issue number3
DOIs
StatePublished - Sep 2012

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Computational Mathematics

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