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Keyword: long memory;

24 results found.

Econometrics Paper

Multiple Local Whittle Estimation in Stationary Systems

Peter M Robinson

Moving from univariate to bivariate jointly dependent long memory time series introduces a phase parameter (?), at the frequency of principal interest, zero; for short memory series ? = 0 automatically. The latter case h...Read more...

October 2007

Econometrics Paper

Conditional-Sum-of-Squares Estimation of Models for Stationary Time Series with Long Memory

Peter M Robinson

Employing recent results of Robinson (2005) we consider the asymptotic properties of conditional-sum-of-squares (CSS) estimates of parametric models for stationary time series with long memory. CSS estimation has been co...Read more...

September 2006

Econometrics Paper

Consistent estimation of the memory parameter for nonlinear time series

Violetta Dalla, Liudas Giraitis and Javier Hidalgo

For linear processes, semiparametric estimation of the memory parameter, based on the log-periodogram and local Whittle estimators, has been exhaustively examined and their properties are well established. However, excep...Read more...

January 2006

Econometrics Paper

Modelling Memory of Economic and Financial Time Series

Peter M Robinson

Much time series data are recorded on economic and financial variables. Statistical modelling of such data is now very well developed, and has applications in forecasting. We review a variety of statistical models from t...Read more...

March 2005

Econometrics Paper

Semiparametric Estimation for Stationary Processes whose Spectra have an Unknown Pole

Javier Hidalgo

We consider the estimation of the location of the pole and memory parameter, ?<sup>0</sup> and a respectively, of covariance stationary linear processes whose spectral density function f(?) satisfies f(?) ~ C|? - ?<sup>0...Read more...

January 2005

Econometrics Paper

ROBUST COVARIANCE MATRIX ESTIMATION: 'HAC' Estimates with Long Memory/Antipersistence Correction

Peter M Robinson

Smoothed nonparametric estimates of the spectral density matrix at zero frequency have been widely used in econometric inference, because they can consistently estimate the covariance matrix of a partial sum of a possibl...Read more...

March 2004

Econometrics Paper

LARCH, Leverage and Long Memory

Liudas Giraitis, Remigijus Leipus, Peter M Robinson and Donatas Surgailis

We consider the long memory and leverage properties of a model for the conditional variance of an observable stationary sequence, where the conditional variance is the square of an inhomogeneous linear combination of pas...Read more...

October 2003

Econometrics Paper

Edgeworth Expansions for Semiparametric Whittle Estimation of Long Memory

Liudas Giraitis and Peter M Robinson

The semiparametric local Whittle or Gaussian estimate of the long memory parameter is known to have especially nice limiting distributional properties, being asymptotically normal with a limiting variance that is complet...Read more...

September 2002

Econometrics Paper

Higher-Order Kernel Semiparametric M-Estimation of Long Memory

Marc Henry and Peter M Robinson

Econometric interest in the possibility of long memory has developed as a flexible alternative to, or compromise between, the usual short memory or unit root prescriptions, for example in the context of modelling cointeg...Read more...

September 2002

Econometrics Paper

Adapting to Unknown Disturbance Autocorrelation in Regression with Long Memory

Javier Hidalgo and Peter M Robinson

We show that it is possible to adapt to nonparametric disturbance auto-correlation in time series regression in the presence of long memory in both regressors and disturbances by using a smoothed nonparametric spectrum e...Read more...

September 2001

Econometrics Paper

Determination of Cointegrating Rank in Fractional Systems

Peter M Robinson and Yoshihiro Yajima

This paper develops methods of investigating the existence and extent of cointegration in fractionally integrated systems. We focus on stationary series, with some discussion of extension to nonstationarity. The setting ...Read more...

July 2001

Econometrics Paper

The Memory of Stochastic Volatility Models

Peter M Robinson

A valid asymptotic expansion for the covariance of functions of multivariate normal vectors is applied to approximate autovariances of time series generated by nonlinear transformation of Gaussian latent variates, and no...Read more...

February 2001

Econometrics Paper

Whittle Pseudo-Maximum Likelihood Estimation for Nonstationary Time Series - (Now published in 'Journal of the American Statistical Association', 95, (2000), pp.1229-1243.)

Peter M Robinson and Carlos Velasco

Whittle pseudo-maximum likelihood estimates of parameters for stationary time series have been found to be consistent and asumptotically normal in the presence of long-range dependence. Generalizing the definition of the...Read more...

May 2000

Econometrics Paper

Variance-Type Estimation of Long Memory - (Now published in 'Stochastic Processes and their Applications', 29 (1999), pp.1-24.)

Liudas Giraitis and Peter M Robinson

The aggregation procedure when a sample of length N is divided into blocks of length m = o(N), m ? ? and observations in each block are replaced by their sample mean, is widely used in statistical inference. Taqqu, Tever...Read more...

October 1998

Econometrics Paper

Semiparametric Inference in Seasonal and Cyclical Long Memory Processes - (Now published in 'Journal of Time Series Analysis', 21 (2000), pp.1-25.)

Josu Artech and Peter M Robinson

Several semiparametric estimates of the memory parameter in standard long memory time series are now available. They consider only local behaviour of the spectrum near zero frequency, about which the spectrum is symmetri...Read more...

September 1998

Econometrics Paper

Seasonal and Cyclical Long Memory - (Now published in S Ghosh (ed): 'Asymptotics, Nonparametrics and Time Series: A Tribute to Madam Lal Puri (Marcel Decker, 1999), pp.115-145.)

Josu Artech and Peter M Robinson

There has recently been great interest in time series with long memory, namely series whose dependence decays slowly in the sense that autocovariances are not summable and the spectral density is unbounded. This concept ...Read more...

September 1998

Econometrics Paper

Long and Short Memory Conditional Heteroscedasticity in Estimating the Memory Parameter of Levels - (Now published in 'Econometric Theory', 15 (1999), pp.299-336.)

Marc Henry and Peter M Robinson

Semiparametric estimates of long memory seem useful in the analysis of long financial time series because they are consistent under much broader conditions than parametric estimates. However, recent large sample theory f...Read more...

August 1998

Econometrics Paper

Aggregation of Simple Linear Dynamics: Exact Asymptotic Results

Marco Lippi and Paolo Zaffaroni

his paper deal with aggregation of AR(1) micro variables driven by a common and idiosyncratic shock with random coefficients. We provide a rigorous analysis, based on results on sums of r.v.'s with a possibly finite firs...Read more...

April 1998

Econometrics Paper

A Nonparametric Test for I(0) - (Now published in 'Review of Economic Studies', 65 (1998), pp.475-495.)

Ignacio Lobato and Peter M Robinson

There is frequently interest in testing that a scalar or vector time series is I(0), possibly after first- differencing or other detrending, while the I(0) assumption is also taken for granted in autocorrelation-consiste...Read more...

November 1997

Econometrics Paper

Beta Convergence

C Michelacci and Paolo Zaffaroni

Unit root in output, an exceptional 2% rate of convergence, and no change in the underlying dynamics of output seems to be three stylized facts that can not go together. This paper extends the Solow-Swan growth model all...Read more...

July 1997

Econometrics Paper

Gaussian Estimation of Long-Range Dependent Volatility in Asset Prices

Paolo Zaffaroni

Asset returns have a very complicated dynamic pattern. Yet they display regularity across different assets and periods. We consider a new family of volatility models which account for such patterns, focussing in particul...Read more...

May 1997

Econometrics Paper

Nonlinear Time Series with Long Memory: A Model for Stochastic Volatility - (Now published in 'Journal of Statistical Planning and Inference', 68 (1998), pp.359-371.)

Peter M Robinson and Paolo Zaffaroni

We introduce a nonlinear model of stochastic volatility within the class of ?product type? models. It allows different degrees of dependence for the ?raw? series and for the ?squared? series, for instance implying weak d...Read more...

January 1997

Econometrics Paper

Modelling Nonlinearity and Long Memory in Time Series - (Now published in 'Nonlinear Dynamics and Time Series', C D Cutler and D T Kaplan (eds), Fields Institute Communications, 11 (1997), pp.61-170.)

Peter M Robinson and Paolo Zaffaroni

We discuss models that impart a form of long memory in raw time series xt or instantaneous functions thereof, in particular . on the basis of a linear or nonlinear model. The capacity of linear models for xt to imply lon...Read more...

January 1997

Econometrics Paper

Spectral Analysis for Bivariate Time Series with Long Memory - (Now published in 'Econometric Theory',12 (1997)pp.773-792.)

Javier Hidalgo

This paper provides limit theorems for special density matrix estimators and functionals of it for a bivariate co variance stationary process whose spectral density matrix has singularities not only at the origin but pos...Read more...

February 1996