Abstract
The framework of stationarity testing is extended to allow a generic smooth trend function estimated nonparametrically. The asymptotic behavior of the pseudo-Lagrange multiplier test is analyzed in this setting. The proposed implementation delivers a consistent test whose limiting null distribution is standard normal. Theoretical analyses are complemented with simulation studies and some empirical applications.
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Landajo, M., Presno, M.J. Nonparametric pseudo-Lagrange multiplier stationarity testing. Ann Inst Stat Math 65, 125–147 (2013). https://doi.org/10.1007/s10463-012-0363-z
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DOI: https://doi.org/10.1007/s10463-012-0363-z