Article ID Journal Published Year Pages File Type
1147323 Journal of Multivariate Analysis 2006 17 Pages PDF
Abstract

We consider location estimation when the error process is a stationary LARCH process with long memory in the second moments. The asymptotic distribution of the sample mean and nonlinear M-estimators of the location parameter are derived. Essential assumptions for obtaining asymptotic normality with -rate of convergence are symmetry of the innovation distribution and skew-symmetry of the ψ-function.

Related Topics
Physical Sciences and Engineering Mathematics Numerical Analysis