Frank Whittle (1907–96)

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چکیده

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Nonstationarity-extended Whittle Estimation

For long memory time series models with uncorrelated but dependent errors, we establish the asymptotic normality of the Whittle estimator under mild conditions. Our framework includes the widely used FARIMA models with GARCH-type innovations. To cover nonstationary fractionally integrated processes, we extend the idea of Abadir, Distaso and Giraitis (2007, Journal of Econometrics 141, 13531384)...

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Whittle Indexability in Egalitarian Processor Sharing Systems

The egalitarian processor sharing model is viewed as a restless bandit and its Whittle indexability is established. A numerical scheme for computing the Whittle indices is provided, along with supporting numerical experiments.

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Multiple Local Whittle Estimation in Stationary Systems

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 has also been stressed under long memory, along with the "fractional di¤erencing" case =( 2 1) =2; where 1; 2 are the memory parameters of the two series. We develop time domain co...

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Exact Local Whittle Estimation of Fractional Integration∗

An exact form of the local Whittle likelihood is studied with the intent of developing a general-purpose estimation procedure for the memory parameter (d) that does not rely on tapering or differencing prefilters. The resulting exact local Whittle estimator is shown to be consistent and to have the same N(0, 1 4 ) limit distribution for all values of d if the optimization covers an interval of ...

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Whittle Estimation of Exponential Volatility Models

The strong consistency and asymptotic normality of the Whittle estimate of the parameters in a class of exponential volatility processes are established. Among many models of interest, this class includes one-shock models, such as the EGARCH model of Nelson (1991), and two-shock models, such as the SV model of Taylor (1986). The variable of interest might not have finite fractional moment of an...

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ژورنال

عنوان ژورنال: Nature

سال: 1996

ISSN: 0028-0836,1476-4687

DOI: 10.1038/383027a0