Published online by Cambridge University Press: 05 March 2010
Least absolute deviations (LAD) estimation of lineartime series models is considered under conditionalheteroskedasticity and serial correlation. The limittheory of the LAD estimator is obtained withoutassuming the finite density condition for the errorsthat is required in standard LAD asymptotics. Theresults are particularly useful in application ofLAD estimation to financial time series data.
We thank Paolo Paruolo and three referees forhelpful comments on the original version. Thepaper is motivated by technical considerationsthat arose in revising Han, Cho, and Phillips(2009, manuscript) for the Journal ofBusiness & Economics Statistics, andwe are grateful to the JBESreview for raising them. Han acknowledges researchsupport from a Korea University Special FacultyResearch Fund. Phillips acknowledges support froma Kelly Fellowship and the NSF under grant SES06-47086.