ON THE LOG PERIODOGRAM REGRESSION ESTIMATOR OF THE MEMORY PARAMETER IN LONG MEMORY STOCHASTIC VOLATILITY MODELS

On the Log Periodogram Regression Estimator of the Memory Parameter in Long Memory Stochastic Volatility Models

We consider semiparametric estimation of the memory parameter in a long memory stochastic volatility model+ We study the estimator based on a log periodogram regression as originally proposed by Geweke and Porter-Hudak ~1983, Journal of Time Series Analysis 4, 221–238!+ Expressions for the asymptotic bias and variance of the estimator are obtained, and the asymptotic distribution is shown to be...

Log-periodogram regression in asymmetric long memory

Wavelet Transform for Log Periodogram Regression in Long Memory Stochastic Volatility Model

We consider semiparametric log periodogram regression estimation of memory parameter for the latent process in long memory stochastic volatility models. It is known that though widely used among researchers, the Geweke and Porter-Hudak (1983; GPH) LP estimator violates the Gaussian or Martingale assumption, which results in significant negative bias due to the existence of the spectrum of non-G...

Filtered Log-periodogram Regression of long memory processes

Filtered log-periodogram regression estimation of the fractional differencing parameter d is considered. Asymptotic properties are derived and the effect of filtering on d̂ is investigated. It is shown that the estimator by Geweke and Porter-Hudak (1983) can be improved significantly using a simple family of filters. The essential improvement is based on a binary decision that is asymptotically ...

The Local Whittle Estimator of Long Memory Stochastic Volatility

We propose a new semiparametric estimator of the degree of persistence in volatility for long memory stochastic volatility (LMSV) models. The estimator uses the periodogram of the log squared returns in a local Whittle criterion which explicitly accounts for the noise term in the LMSV model. Finite-sample and asymptotic standard errors for the estimator are provided. An extensive simulation stu...