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Volumn 50, Issue 3, 2013, Pages 760-771

Central limit theorem for nonlinear hawkes processes

Author keywords

Central limit theorem; Functional central limit theorem; Hawkes process; Point process; Self exciting process

Indexed keywords


EID: 84885164766     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1378401234     Document Type: Article
Times cited : (87)

References (16)
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  • 4
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    • (1996) Ann. Prob. , vol.24 , pp. 1563-1588
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  • 5
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    • Rate of convergence to equilibrium of marked Hawkes processes
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    • (2002) J. Appl. Prob. , vol.39 , pp. 123-136
    • Brémaud, P.1    Nappo, G.2    Torrisi, G.L.3
  • 8
    • 80053391178 scopus 로고    scopus 로고
    • A dynamic contagion process
    • Dassios, A. and Zhao, H. (2011). A dynamic contagion process. Adv. Appl. Prob. 43, 814-846.
    • (2011) Adv. Appl. Prob. , vol.43 , pp. 814-846
    • Dassios, A.1    Zhao, H.2
  • 10
    • 0002920214 scopus 로고
    • Spectra of some self-exciting and mutually exciting point processes
    • Hawkes, A. G. (1971). Spectra of some self-exciting and mutually exciting point processes. Biometrika 58, 83-90.
    • (1971) Biometrika , vol.58 , pp. 83-90
    • Hawkes, A.G.1
  • 11
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    • A cluster process representation of a self-exciting process
    • Hawkes, A. G. and Oakes, D. (1974). A cluster process representation of a self-exciting process. J. Appl. Prob. 11, 493-503.
    • (1974) J. Appl. Prob. , vol.11 , pp. 493-503
    • Hawkes, A.G.1    Oakes, D.2
  • 12
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    • Invariance principles for the law of the iterated logarithm for martingales and processes with stationary increments
    • Heyde, C. C. and Scott, D. J. (1973). Invariance principles for the law of the iterated logarithm for martingales and processes with stationary increments. Ann. Prob. 1, 428-436.
    • (1973) Ann. Prob. , vol.1 , pp. 428-436
    • Heyde, C.C.1    Scott, D.J.2
  • 16
    • 84885089190 scopus 로고    scopus 로고
    • Process-level large deviations for nonlinear Hawkes point processes
    • To appear in
    • Zhu, L. (2013). Process-level large deviations for nonlinear Hawkes point processes. To appear in Ann. Inst. H. Poincaré Prob. Statist.
    • (2013) Ann. Inst. H. Poincaré Prob. Statist.
    • Zhu, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.