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Asymptotics of estimates in constrained nonlinear regression with long-range dependent innovations
Authors:Lihong Wang
Institution:(1) Department of Mathematics, Nanjing University, 210093 Nanjing, China
Abstract:The purpose of this paper is to investigate the asymptotic properties of the least squares estimates (L 2-estimates) and the least absolute deviation estimates (L 1-estimates) of the parameters of a nonlinear regression model subject to a set of equality and inequality restrictions, which has a long-range dependent stationary process as its stochastic errors. Then we will compare the asymptotic relative efficiencies of the above estimators.
Keywords:Asymptotic efficient  asymptotic property  least absolute deviation estimation  least squares estimation  long-range dependence  equality and inequality constraints  nonlinear regression
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