LM tests for unit roots in the presence of missing observations: Small sample evidence

Hiro Y. Toda, C. R. McKenzie

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


The purpose of this paper is to derive the asymptotic distributions of some Lagrange Multiplier (LM) tests for unit roots in time series models in the presence of missing observations, and to provide evidence on the small sample properties of these tests. LM tests for a unit root in a first-order autoregressive process for two types of null and alternative hypotheses are considered: a unit root without drift versus level stationarity, and a unit root with drift versus trend stationarity. Modifications of the tests to account for serially correlated errors are suggested. The small sample size and power properties of the tests are investigated using a Monte Carlo simulation.

Original languageEnglish
Pages (from-to)457-468
Number of pages12
JournalMathematics and Computers in Simulation
Issue number4-6
Publication statusPublished - 1999 Jun
Externally publishedYes


  • Lagrange Multiplier test
  • Missing observations
  • Monte Carlo simulation
  • Serial correlation
  • Stationarity
  • Unit roots

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science
  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics


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