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Volumn , Issue , 2010, Pages 161-175

Limit theorems for p-variations of solutions of SDEs driven by additive stable levy noise and model selection for paleo-climatic data

Author keywords

Estimation; Greenland ice core data; Kolmogorov Smirnov distance; Model selection; p variation; Paleo climatic time series; Skorokhod topology; Stability index; Stable Levy process; Tightness

Indexed keywords


EID: 85123566796     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter
Times cited : (4)

References (13)
  • 1
    • 0041490993 scopus 로고    scopus 로고
    • Anomalous jumping in a double-well potential
    • P. D. Ditlevsen, Anomalous jumping in a double-well potential, Physical Review E. 60(1), 172-179, (1999).
    • (1999) Physical Review E , vol.60 , Issue.1 , pp. 172-179
    • Ditlevsen, P.D.1
  • 2
    • 0033562255 scopus 로고    scopus 로고
    • Observation of α-stable noise induced millenial climate changes from an ice record
    • (May)
    • P. D. Ditlevsen, Observation of α-stable noise induced millenial climate changes from an ice record, Geophysical Research Letters. 26(10), 1441-1444 (May, 1999).
    • (1999) Geophysical Research Letters , vol.26 , Issue.10 , pp. 1441-1444
    • Ditlevsen, P.D.1
  • 4
    • 0003522826 scopus 로고    scopus 로고
    • Stochastic integration and differential equations
    • (Springer), second edition
    • P. E. Protter, Stochastic integration and differential equations. vol. 21, Applications of Mathematics, (Springer, 2004), second edition.
    • (2004) Applications of Mathematics , vol.21
    • Protter, P.E.1
  • 10
    • 34547522525 scopus 로고    scopus 로고
    • Asymptotic properties of power variations of Levy processes
    • J. Jacod, Asymptotic properties of power variations of Levy processes, ESAIM: Probability and Statistics. 11, 173-196, (2007).
    • (2007) ESAIM: Probability and Statistics , vol.11 , pp. 173-196
    • Jacod, J.1
  • 11
    • 39149086045 scopus 로고    scopus 로고
    • Asymptotic properties of realized power variations and related functionals of semimartingales
    • J. Jacod, Asymptotic properties of realized power variations and related functionals of semimartingales., Stochastic Processes and their Applications. 118(4), 517-559, (2008).
    • (2008) Stochastic Processes and their Applications , vol.118 , Issue.4 , pp. 517-559
    • Jacod, J.1
  • 12
    • 33845439129 scopus 로고    scopus 로고
    • A functional central limit theorem for the realized power variation of integrated stable processes
    • J. M. Corcuera, D. Nualart, and J. H. C. Woerner, A functional central limit theorem for the realized power variation of integrated stable processes, Stochastic Analysis and Applications. 25, 169-186, (2007).
    • (2007) Stochastic Analysis and Applications , vol.25 , pp. 169-186
    • Corcuera, J.M.1    Nualart, D.2    Woerner, J.H.C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.