Wald tests of I(1) against I(d) alternatives: Some new properties and an extension to processes with trending components

This paper analyses the behaviour of a Wald-type test, i.e., the (Efficient) Fractional Dickey-Fuller (EFDF) test of I(1) against I(d), d<1, relative to LM tests. Further, it extends the implementation of the EFDF test to the presence of deterministic trending components in the DGP. Tests of thes...

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Detalhes bibliográficos
Autores: Dolado, Juan J., Gonzalo, Jesús, Mayoral, Laura
Formato: artículo
Fecha de publicación:2008
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/58519
Acesso em linha:http://hdl.handle.net/10261/58519
Access Level:acceso abierto
Palavra-chave:jel:C12
jel:C22
Descrição
Resumo:This paper analyses the behaviour of a Wald-type test, i.e., the (Efficient) Fractional Dickey-Fuller (EFDF) test of I(1) against I(d), d<1, relative to LM tests. Further, it extends the implementation of the EFDF test to the presence of deterministic trending components in the DGP. Tests of these hypotheses are important in many macroeconomic applications where it is crucial to distinguish between permanent and transitory shocks because shocks die out in I(d) processes with d<1. We show how simple the implementation of the EFDF in these situations is and argue that, under fixed alternatives, it is preferred to the LM test in Bahadur's sense. Finally, an empirical application is provided where the EFDF approach allowing for deterministic components is used to test for long-memory in the GDP p.c. of several OECD countries, an issue that has important consequences to discriminate between alternative growth theories. © 2008 The Berkeley Electronic Press. All rights reserved.