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Volumn 83, Issue 3, 2013, Pages 885-890

Moderate deviations for Hawkes processes

Author keywords

Hawkes processes; Large deviations; Moderate deviations; Point processes; Self exciting processes

Indexed keywords


EID: 84871735616     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2012.12.011     Document Type: Article
Times cited : (39)

References (27)
  • 1
    • 47849099628 scopus 로고
    • Probabilities of moderate deviations for some stationary strong-mixing processes
    • Babu G.J., Singh K. Probabilities of moderate deviations for some stationary strong-mixing processes. Sankhyā Ser. A 1978, 40:38-43.
    • (1978) Sankhyā Ser. A , vol.40 , pp. 38-43
    • Babu, G.J.1    Singh, K.2
  • 2
    • 84871736067 scopus 로고    scopus 로고
    • Scaling limits for Hawkes processes and application to financial statistics
    • Bacry, E., Delattre, S., Hoffmann, M., Muzy, J.F., 2011. Scaling limits for Hawkes processes and application to financial statistics. Preprint.
    • (2011) Preprint
    • Bacry, E.1    Delattre, S.2    Hoffmann, M.3    Muzy, J.F.4
  • 3
    • 79956347891 scopus 로고    scopus 로고
    • Modelling financial high frequency data using point processes
    • Bauwens L., Hautsch N. Modelling financial high frequency data using point processes. Handbook of Financial Time Series 2009, 953-979.
    • (2009) Handbook of Financial Time Series , pp. 953-979
    • Bauwens, L.1    Hautsch, N.2
  • 4
    • 35748939067 scopus 로고    scopus 로고
    • Large deviations of Poisson cluster processes
    • Bordenave C., Torrisi G.L. Large deviations of Poisson cluster processes. Stoch. Models 2007, 23:593-625.
    • (2007) Stoch. Models , vol.23 , pp. 593-625
    • Bordenave, C.1    Torrisi, G.L.2
  • 5
    • 34848883614 scopus 로고    scopus 로고
    • Modelling security market events in continuous time: intensity based, multivariate point process models
    • Bowsher C.G. Modelling security market events in continuous time: intensity based, multivariate point process models. J. Econometrics 2007, 141:876-912.
    • (2007) J. Econometrics , vol.141 , pp. 876-912
    • Bowsher, C.G.1
  • 6
    • 0030352915 scopus 로고    scopus 로고
    • Stability of nonlinear Hawkes processes
    • Brémaud P., Massoulié L. Stability of nonlinear Hawkes processes. Ann. Probab. 1996, 24:1563-1588.
    • (1996) Ann. Probab. , vol.24 , pp. 1563-1588
    • Brémaud, P.1    Massoulié, L.2
  • 7
    • 22944466056 scopus 로고    scopus 로고
    • Estimating value-at-risk: a point process approach
    • Chavez-Demoulin V., Davison A., McNeil A. Estimating value-at-risk: a point process approach. Quant. Finance 2005, 5:227-234.
    • (2005) Quant. Finance , vol.5 , pp. 227-234
    • Chavez-Demoulin, V.1    Davison, A.2    McNeil, A.3
  • 8
    • 0041902262 scopus 로고    scopus 로고
    • Moderate deviations for Markovian occupation times
    • Chen X. Moderate deviations for Markovian occupation times. Stochastic Process. Appl. 2001, 94:51-70.
    • (2001) Stochastic Process. Appl. , vol.94 , pp. 51-70
    • Chen, X.1
  • 10
    • 0031515488 scopus 로고    scopus 로고
    • Moderate deviations for empirical measures of Markov chains: lower bounds
    • de Acosta A. Moderate deviations for empirical measures of Markov chains: lower bounds. Ann. Probab. 1997, 25:259-284.
    • (1997) Ann. Probab. , vol.25 , pp. 259-284
    • de Acosta, A.1
  • 11
    • 0042878084 scopus 로고    scopus 로고
    • Moderate deviations for empirical measures of Markov chains: upper bounds
    • de Acosta A., Chen X. Moderate deviations for empirical measures of Markov chains: upper bounds. J. Theoret. Probab. 1998, 11:1075-1110.
    • (1998) J. Theoret. Probab. , vol.11 , pp. 1075-1110
    • de Acosta, A.1    Chen, X.2
  • 12
    • 0001846814 scopus 로고    scopus 로고
    • Moderate deviations for martingales with bounded jumps
    • Dembo A. Moderate deviations for martingales with bounded jumps. Electron. Commun. Probab. 1996, 1:11-17.
    • (1996) Electron. Commun. Probab. , vol.1 , pp. 11-17
    • Dembo, A.1
  • 16
    • 0030076763 scopus 로고    scopus 로고
    • Moderate deviations for martingales and mixing random processes
    • Gao F.Q. Moderate deviations for martingales and mixing random processes. Stochastic Process. Appl. 1996, 61:263-275.
    • (1996) Stochastic Process. Appl. , vol.61 , pp. 263-275
    • Gao, F.Q.1
  • 17
    • 47849098358 scopus 로고
    • Probabilities of moderate deviations for some stationary φ-mixing processes
    • Ghosh M., Babu G.J. Probabilities of moderate deviations for some stationary φ-mixing processes. Ann. Probab. 1977, 5:222-234.
    • (1977) Ann. Probab. , vol.5 , pp. 222-234
    • Ghosh, M.1    Babu, G.J.2
  • 18
    • 0031513809 scopus 로고    scopus 로고
    • On moderate deviations for martingales
    • Grama I.G. On moderate deviations for martingales. Ann. Probab. 1997, 25:152-183.
    • (1997) Ann. Probab. , vol.25 , pp. 152-183
    • Grama, I.G.1
  • 19
    • 24944525791 scopus 로고    scopus 로고
    • F.a.d.o.: a statistical method to detect favored or avoided distances between occurrences of motifs using the Hawkes model
    • Article 24
    • Gusto G., Schbath S. F.a.d.o.: a statistical method to detect favored or avoided distances between occurrences of motifs using the Hawkes model. Stat. Appl. Genet. Mol. Biol. 2005, 4. Article 24.
    • (2005) Stat. Appl. Genet. Mol. Biol. , vol.4
    • Gusto, G.1    Schbath, S.2
  • 20
    • 0002920214 scopus 로고
    • Spectra of some self-exciting and mutually exciting point processes
    • Hawkes A.G. Spectra of some self-exciting and mutually exciting point processes. Biometrika 1971, 58:83-90.
    • (1971) Biometrika , vol.58 , pp. 83-90
    • Hawkes, A.G.1
  • 21
    • 0001446567 scopus 로고
    • A cluster process representation of a self-exciting process
    • Hawkes A.G., Oakes D. A cluster process representation of a self-exciting process. J. Appl. Probab. 1974, 11:93-503.
    • (1974) J. Appl. Probab. , vol.11 , pp. 93-503
    • Hawkes, A.G.1    Oakes, D.2
  • 23
    • 0030447513 scopus 로고
    • Point process models of single-neuron discharges
    • Johnson D.H. Point process models of single-neuron discharges. J. Computational Neuroscience 1995, 3:275-299.
    • (1995) J. Computational Neuroscience , vol.3 , pp. 275-299
    • Johnson, D.H.1
  • 24
    • 33846297715 scopus 로고    scopus 로고
    • Measuring the resiliency of an electronic limit order book
    • Large J. Measuring the resiliency of an electronic limit order book. J. Financ. Mark. 2007, 10:1-25.
    • (2007) J. Financ. Mark. , vol.10 , pp. 1-25
    • Large, J.1
  • 25
    • 84871770438 scopus 로고    scopus 로고
    • Large deviations for Markovian nonlinear Hawkes processes
    • Zhu, L., 2011. Large deviations for Markovian nonlinear Hawkes processes. Preprint.
    • (2011) Preprint
    • Zhu, L.1
  • 26
    • 84871724866 scopus 로고    scopus 로고
    • Process-level large deviations for nonlinear Hawkes point processes
    • (in press-a).
    • Zhu, L., 2011. Process-level large deviations for nonlinear Hawkes point processes, Ann. Inst. Henri Poincare (in press-a).
    • (2011) Ann. Inst. Henri Poincare
    • Zhu, L.1
  • 27
    • 84871803191 scopus 로고    scopus 로고
    • Central limit theorem for nonlinear Hawkes processes
    • (in press-b).
    • Zhu, L., 2012. Central limit theorem for nonlinear Hawkes processes, J. Appl. Probab. (in press-b).
    • (2012) J. Appl. Probab.
    • Zhu, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.