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Least Absolute Deviation Estimation for Regression with ARMA Errors
Authors:Richard A. Davis  William T. M. Dunsmuir
Affiliation:(1) Colorado State University, Colorado;(2) University of New South Wales, Australia
Abstract:
The asymptotic normality for least absolute deviation estimates of the parameters in a linear regression model with autoregressive moving average errors is established under very general conditions. The method of proof is based on a functional limit theorem for the LAD objective function.
Keywords:ARMA process  regression  least absolute deviation estimation  central limit theorem
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