Minimum distance estimation of GARCH(1, 1) models

نویسنده

  • Giuseppe Storti
چکیده

A distribution free approach to the estimation of GARCH(1, 1) models is presented. More specifically, the proposed method relies on a Minimum Distance Estimator (MDE) based on the autocovariance function of the squared observations. The asymptotic properties of the estimator are studied giving conditions for its consistency and asymptotic normality while its finite sample efficiency is assessed by means of a simulation study. Finally the proposed estimation method is applied to a time series of hourly returns on the FTSE100 index futures. © 2005 Elsevier B.V. All rights reserved.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Conditional Quantile Estimation for Garch Models

Conditional quantile estimation is an essential ingredient in modern risk management. Although GARCH processes have proven highly successful in modeling financial data it is generally recognized that it would be useful to consider a broader class of processes capable of representing more flexibly both asymmetry and tail behavior of conditional returns distributions. In this paper, we study esti...

متن کامل

Estimation of Garch Models from the Autocorrelations of the Squares of a Process by Richard T. Baillie

This paper shows how the parameters of a stable GARCH(1, 1) model can be estimated from the autocorrelations of the squared process. Speci®cally, the method applies a minimum distance estimator (MDE) to the sample autocorrelations of the squared realization. The asymptotic ef®ciency of the estimator is calculated from using the ®rst g autocorrelations. The estimator can be surprisingly ef®cient...

متن کامل

Comparing the performance of GARCH (p,q) models with different methods of estimation for forecasting crude oil market volatility

The use of GARCH models to characterize crude oil price volatility is widely observed in the empirical literature. In this paper the efficiency of six univariate GARCH models and two methods of estimation the parameters for forecasting oil price volatility are examined and the best method for forecasting crude oil price volatility of Brent market is determined. All the examined models in this p...

متن کامل

On Estimation of GARCH Models with an Application to Nordea Stock Prices

We are interested in estimation of stationary GARCH models. In simulation studies, we assess the performance of the maximum likelihood estimator and Yule-Walker estimator of the GARCH (1, 1) model. Finally we attempt to fit the dynamics of daily stock returns on Nordea by a GARCH model.

متن کامل

Robust Minimum Distance Estimation for Nonlinear Semi-Strong GARCH Models

We develop a class of Minimum Distance Estimators for semi-strong Nonlinear ARMAX-Nonlinear GARCH processes. The estimators are asymptotically normal for possibly very heavy-tailed data due to underlying shocks and/or model parameter values. In particular we only impose trivial moment conditions on the GARCH errors, covering non-stationary GARCH. The MDE class is couched within a Method of Mome...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Computational Statistics & Data Analysis

دوره 51  شماره 

صفحات  -

تاریخ انتشار 2006