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Limit theorems for nearly unstable Hawkes processes
15 references·16 citing·48 second hopsampled
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References

  • 1993A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options8,768 cited
  • 1985A Theory of the Term Structure of Interest Rates8,333 cited
  • 1991Weak Limit Theorems for Stochastic Integrals and Stochastic Differential Equations546 cited
  • 2007Modelling security market events in continuous time: Intensity based, multivariate point process models397 cited
  • 2010Affine Point Processes and Portfolio Credit Risk373 cited
  • 2004Fluctuations and response in financial markets: the subtle nature of ‘random’ price changes370 cited
  • 2004The Long Memory of the Efficient Market365 cited
  • 2012Modelling microstructure noise with mutually exciting point processes304 cited
  • 2006Measuring the resiliency of an electronic limit order book279 cited
  • 2012Quantifying reflexivity in financial markets: Toward a prediction of flash crashes241 cited
  • 1989Convergence en loi des suites d'intégrales stochastiques sur l'espace $$\mathbb{D}$$ 1 de Skorokhod192 cited
  • 2014Hawkes model for price and trades high-frequency dynamics189 cited
  • 2005Estimating value-at-risk: a point process approach187 cited
  • 2012Non-parametric kernel estimation for symmetric Hawkes processes. Application to high frequency financial data178 cited

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  • 2007Relation between bid–ask spread, impact and volatility in order-driven markets159 cited
  • Cited by

    • 2018Functional central limit theorems for stationary Hawkes processes and application to infinite-server queues66 cited
    • 2015Dynamic optimal execution in a mixed-market-impact Hawkes price model62 cited
    • 2019Affine forward variance models62 cited
    • 2020No‐arbitrage implies power‐law market impact and rough volatility62 cited
    • 2017Alpha-CIR model with branching processes in sovereign interest rate modeling59 cited
    • 2015The limits of statistical significance of Hawkes processes fitted to financial data45 cited
    • 2021A weak solution theory for stochastic Volterra equations of convolution type39 cited
    • 2021The Alpha‐Heston stochastic volatility model35 cited
    • 2017Applications of a Multivariate Hawkes Process to Joint Modeling of Sentiment and Market Return Events33 cited
    • 2018Large deviations and applications for Markovian Hawkes processes with a large initial intensity31 cited
    • 2015Market impact as anticipation of the order flow imbalance29 cited
    • 2021From quadratic Hawkes processes to super-Heston rough volatility models with Zumbach effect28 cited
    • 2017Transform analysis for Hawkes processes with applications in dark pool trading26 cited
    • 2018The characteristic function of rough Heston models25 cited
    • 2019A Scaling Limit for Limit Order Books Driven by Hawkes Processes25 cited
    • 2022The microstructure of stochastic volatility models with self-exciting jump dynamics24 cited