Estimation of an Order Book Dependent Hawkes Process for Large Datasets.

A point process for event arrivals in high-frequency trading is presented. The intensity is the product of a Hawkes process and high-dimensional functions of covariates derived from the order book. Conditions for stationarity of the process are stated. An algorithm is presented to estimate the model...

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Publicado en:Journal of Financial Econometrics Vol. 22; no. 4; pp. 1098 - 1130
Autores principales: Mucciante, Luca, Sancetta, Alessio
Formato: Artículo
Publicado: Oxford University Press / USA Fall2024
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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      dt: Fall2024
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        atl: Estimation of an Order Book Dependent Hawkes Process for Large Datasets.
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        au:
          Mucciante, Luca
          Sancetta, Alessio
        affil: Department of Economics, Royal Holloway University of London , Egham, TW20 0EX, UK
      su:
        Forecasting
        Sampling (Process)
        Point processes
        Sample size (Statistics)
        Stocks (Finance)
      sug:
        subj:
          Forecasting
          Sampling (Process)
          Point processes
          Sample size (Statistics)
          Stocks (Finance)
      keyword:
        C13
        C32
        C55
        counting process
        forecast evaluation
        high-dimensional estimation
        high-frequency trading
        one-hot encoding
        trade arrival
        C13
        C32
        C55
        counting process
        forecast evaluation
        high-dimensional estimation
        high-frequency trading
        one-hot encoding
        trade arrival
      ab: A point process for event arrivals in high-frequency trading is presented. The intensity is the product of a Hawkes process and high-dimensional functions of covariates derived from the order book. Conditions for stationarity of the process are stated. An algorithm is presented to estimate the model even in the presence of billions of data points, possibly mapping covariates into a high-dimensional space. Large sample sizes can be common for high-frequency data applications using multiple instruments. Consistency results under weak conditions are established. A test statistic to assess out of sample performance of different model specifications is suggested. The methodology is applied to the study of four stocks that trade on the New York Stock Exchange. The out of sample testing procedure suggests that capturing the nonlinearity of the order book information adds value to the self-exciting nature of high-frequency trading events.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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