On the (intradaily) seasonality and dynamics of a financial point process: a semiparametric approach

David Veredas, Juan Rodriguez-Poo and Antoni Espasa

No 2002023, LIDAM Discussion Papers CORE from Université catholique de Louvain, Center for Operations Research and Econometrics (CORE)

Abstract: A new method of estimating a component model for the analysis of financial durations is proposed. The components are long-run dynamics and seasonality. The latter is left unspecified and the former is assumed to fall within the class ofa certain family of parametric functions. The proposed estimation procedure is based on a generalized profile likelihood approach and requires the assumption either of a likelihood function for the model errors or, at least, that the errordensity belongs to the class of exponential densities. Its main interest is twofold: first, consistent and asymptotically normal estimators for both the parameters of the long-run stochastic component and the nonparametric curve that approximatesthe deterministic seasonal component are provided. Hence, it is possible to derive correct inference for both parametric and nonparametric components. Second, the method is computationally very appealing since the resulting nonparametricestimator of the seasonal curve has an explicit form that turns out to be a transformation of the Nadaraya-Watson estimator. The method is applied to price and volume durations of a stock traded at the NYSE, and compared to estimation with splines and with adjustment methods. It is shown that the proposed method outperforms the other methods.

Keywords: Tick-by-tick; ACD model; seasonal analysis; nonparametric method (search for similar items in EconPapers)
JEL-codes: C14 C41 G10 (search for similar items in EconPapers)
Date: 2002-04
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Citations: View citations in EconPapers (11)

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Related works:
Working Paper: On the (Intradaily) Seasonality and Dynamics of a Financial Point Process: A Semiparametric Approach (2001)
Working Paper: On the (intradaily) seasonality and dynamics of a financial point process: a semiparametric approach (2001)
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