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An Asymptotic Expansion in the GARCH(l, 1) Model

GARCH(l,1) 模型中的渐近展开

We develop order T −1 asymptotic expansions for the quasi-maximum likelihood estimator (QMLE) and a two-step approximate QMLE in the GARCH(l,l) model. We calculate the approximate mean and skewness and, hence, the Edgeworth-B distribution function. We suggest several methods of bias reduction based on these approximations.

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Edgeworth Approximation for MINPIN Estimators in Semiparametric Regression Models

半参数回归模型中 MINPIN 估计量的 Edgeworth 近似

We examine the higher order asymptotic properties of semiparametric regression estimators that were obtained by the general MINPIN method described in Andrews (1989, Semiparametric Econometric Models: I. Estimation, Discussion paper 908, Cowles Foundation). We derive an order n −1 stochastic expansion and give a theorem justifying order n −1 distributional approximation of the Edgeworth type.

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Second Order Approximation in the Partially Linear Regression Model

部分线性回归模型中的二阶近似

The author examines the second order properties of various quantities of interest in the partially linear regression model: a stochastic expansion with remainder of order n[superscript -2 mu] in distribution, where mu Copyright 1995 by The Econometric Society.

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Adaptive Estimation in ARCH Models

ARCH 模型中的自适应估计

We construct efficient estimators of the identifiable parameters in a regression model when the errors follow a stationary parametric ARCH( P ) process. We do not assume a functional form for the conditional density of the errors, but do require that it be symmetric about zero. The estimators of the mean parameters are adaptive in the sense of Bickel [2]. The ARCH parameters are not jointly identifiable with the error density. We consider a reparameterization of the variance…

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