An Inflated Multivariate Integer Count Hurdle Model : an Application to Bid and Ask Quote Dynamics

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2007
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Bien, Katarzyna
Nolte, Ingmar
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CoFE-Diskussionspapiere / Zentrum für Finanzen und Ökonometrie
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Zusammenfassung

In this paper we develop a model for the conditional inflated multivariate density of integer count variables with domain Zn. Our modelling framework is based on a copula approach and can be used for a broad set of applications where the primary characteristics of the data are: (i) discrete domain, (ii) the tendency to cluster at certain outcome values and (iii) contemporaneous dependence. These kind of properties can be found for high or ultra-high frequent data describing the trading process on financial markets. We present a straightforward method of sampling from such an inflated multivariate density through the application of an Independence Metropolis-Hastings sampling algorithm. We demonstrate the power of our approach by modelling the conditional bivariate density of bid and ask quote changes in a high frequency setup. We show how to derive the implied conditional discrete density of the bid-ask spread, taking quote clusterings (at multiples of 5 ticks) into account.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
330 Wirtschaft
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Multivariate Discrete Distributions, Conditional Inflation, Copula Functions, Truncations, Metropolized-Independence Sampler
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ISO 690BIEN, Katarzyna, Ingmar NOLTE, Winfried POHLMEIER, 2007. An Inflated Multivariate Integer Count Hurdle Model : an Application to Bid and Ask Quote Dynamics
BibTex
@techreport{Bien2007Infla-12020,
  year={2007},
  series={CoFE-Diskussionspapiere / Zentrum für Finanzen und Ökonometrie},
  title={An Inflated Multivariate Integer Count Hurdle Model : an Application to Bid and Ask Quote Dynamics},
  number={2007/04},
  author={Bien, Katarzyna and Nolte, Ingmar and Pohlmeier, Winfried}
}
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